@book {65, title = {Hybrid Dynamical Systems: Modeling, Stability, and Robustness}, year = {2012}, publisher = {Princeton University Press}, organization = {Princeton University Press}, address = {New Jersey}, keywords = {hybrid systems}, doi = {http://www.u.arizona.edu/~sricardo/index.php?n=Main.Books}, author = {R. Goebel and R. G. Sanfelice and A. R. Teel} } @inbook {36, title = {Hybrid Control Systems}, booktitle = {Encyclopedia of Complexity and Systems Science}, series = {NULL}, year = {2009}, publisher = {Springer}, organization = {Springer}, abstract = {This article will present a general framework for modeling hybrid control systems and studying their dynamical properties. It will put forth basic tools for studying asymptotic stability properties of hybrid systems. Then, particular aspects of hybrid control will be described, as well as approaches to control objectives that can be successfully achieved via hybrid control even if they are not solvable with classical methods.}, keywords = {hybrid systems}, author = {A. R. Teel and R. G. Sanfelice and R. Goebel} } @inbook {21, title = {Hybrid systems: limit sets and zero dynamics with a view toward output regulation}, booktitle = {Analysis and Design of Nonlinear Control Systems}, year = {2008}, pages = {241-261}, publisher = {Springer-Verlag}, organization = {Springer-Verlag}, chapter = {Hybrid systems: limit sets and zero dynamics with a view toward output regulation}, abstract = {

We present results on omega-limit sets and minimum phase zero dynamics for hybrid dynamical systems. Moreover, we give pointers to how these results may be useful in the future for solving the output regulation problem for hybrid systems. We highlight the main attributes of omega-limit sets and we show, under mild conditions, that they are asymptotically stable. We define a minimum phase notion in terms of omega-limit sets and establish an equivalent Lyapunov characterization. Then we study the feedback stabilization problem for a class of minimum phase, relative degree one hybrid systems. Finally, we discuss output regulation for this class of hybrid systems. We illustrate the concepts with examples throughout the paper.

}, keywords = {hybrid systems}, doi = {http://www.springer.com/west/home/generic/search/results?http://www.springerlink.com/content/r00r175353435104/fulltext.pdf}, url = {https://hybrid.soe.ucsc.edu/files/preprints/21.pdf}, author = {C. Cai and R. Goebel and R. G. Sanfelice and A. R. Teel}, editor = {A. Astolfi and L. Marconi and A. Astolfi and L. Marconi} } @article {349, title = {Stochastic Approximation of Hybrid Systems: Boundedness and Asymptotic Behavior}, journal = {Annual Reviews in Control}, year = {2025}, author = {A. R. Teel and R. G. Sanfelice and R. Goebel} } @article {348, title = {Lyapunov-like Descriptions of Strong Forward Invariance for Differential Inclusions}, journal = {SIAM Journal on Control and Optimization}, year = {2025}, author = {R. Goebel and R. G. Sanfelice and A. R. Teel} } @article {316, title = {MultiHyRL: Robust Hybrid RL for Obstacle Avoidance against Adversarial Attacks on the Observation Space}, journal = {Reinforcement Learning Journal}, volume = {1}, number = {1}, year = {2024}, month = {August}, author = {J. de Priester and Z. Bell and P. Ganesh and R. G. Sanfelice} } @article {306, title = {On the Feasibility and Continuity of Feedback Controllers Defined by Multiple Control Barrier Functions}, journal = {IEEE Transactions on Automatic Control}, volume = {69}, year = {2024}, month = {March}, pages = {1-15}, author = {A. Isaly and M. Ghanbarpour and R. G. Sanfelice and W. Dixon} } @article {303, title = {A Hybrid Observer for Linear Systems under Delayed Sporadic Measurements}, journal = {International Journal of Robust and Nonlinear Control}, year = {2024}, month = {January}, pages = {1-26}, author = {M. Guarro and F. Ferrante and R. G. Sanfelice} } @article {284, title = {Online Attack Recovery in Cyber-Physical Systems}, journal = {IEEE Security and Privacy}, volume = {21}, number = {4}, year = {2023}, month = {July}, pages = {20-28}, author = {L. Burbano and K. Garg and S. Jimenez and A. Cardenas and R.G. Sanfelice} } @article {282, title = {HyNTP: A Distributed Hybrid Algorithm for Time Synchronization}, journal = {IEEE Transactions on Control of Network Systems}, year = {2023}, month = {January}, pages = {1-12}, author = {M. Guarro and R. G. Sanfelice} } @article {275, title = {Optimal Safety for Constrained Differential Inclusions using Nonsmooth Control Barrier Functions}, journal = {IEEE Control Systems Letters (L-CSS)}, volume = {7}, year = {2022}, month = {December}, pages = {1303-1308}, author = {M. Ghanbarpour and A. Isaly and R. G. Sanfelice and W. Dixon} } @article {272, title = {A Switching-based Moving Target Defense Against Sensor Attacks in Control Systems}, journal = {Nonlinear Analysis: Hybrid Systems}, volume = {47}, year = {2022}, author = {J. Giraldo and A. Cardenas and R. G. Sanfelice} } @article {212, title = {A unifying convex analysis and switching system approach to consensus with undirected communication graphs}, journal = {Automatica}, volume = {111}, year = {2020}, month = {January}, author = {R. Goebel and R. G. Sanfelice} } @article {189, title = {$\mathcal{L}_2$ State Estimation with Guaranteed Convergence Speed in the Presence of Sporadic Measurements}, journal = {IEEE Transactions on Automatic Control}, volume = {64}, number = {8}, year = {2019}, month = {August}, pages = {3362 - 3369}, author = {F. Ferrante and F. Gouaisbaut and R. G. Sanfelice and S. Tarbouriech} } @article {178, title = {Pointwise Asymptotic Stability in a Hybrid System and Well-Posed Behavior Beyond Zeno}, journal = {SIAM Journal on Control and Optimization}, volume = {56}, number = {2}, year = {2018}, month = {April}, pages = {1358-1385}, author = {R. Goebel and R. G. Sanfelice} } @article {136, title = {State Estimation of Linear Systems in the Presence of Sporadic Measurements}, journal = {Automatica}, volume = {73}, year = {2016}, month = {November}, pages = {101-109}, chapter = {101}, author = {F. Ferrante and F. Gouaisbaut and R. G. Sanfelice and S. Tarbouriech} } @article {34, title = {Hybrid dynamical systems}, journal = {IEEE Control Systems Magazine}, volume = {29}, number = {2}, year = {2009}, month = {April}, pages = {28-93}, keywords = {hybrid systems}, doi = {http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=\&arnumber=4806347\&isnumber=4806311}, url = {https://hybrid.soe.ucsc.edu/files/preprints/34.pdf}, author = {R. Goebel and R. G. Sanfelice and A.R. Teel} } @article {29, title = {Generalized solutions to hybrid dynamical systems}, journal = {ESAIM: Control, Optimisation and Calculus of Variations}, volume = {14}, number = {4}, year = {2008}, pages = {699{\textendash}724}, abstract = {Several recent results in the area of robust asymptotic stability of hybrid systems show that the concept of a generalized solution to a hybrid system is suitable for the analysis and design of hybrid control systems. In this paper, we show that such generalized solutions are exactly the solutions that arise when measurement noise in the system is taken into account.}, keywords = {hybrid systems}, doi = {http://www.esaim-cocv.org/action/displayAbstract?fromPage=online\&aid=8133135\&fulltextType=RA\&doiId=S1292811908000080}, url = {https://hybrid.soe.ucsc.edu/files/preprints/29.pdf}, author = {R. G. Sanfelice and R. Goebel and A.R. Teel} } @article {22, title = {Invariance principles for switching systems via hybrid systems techniques}, journal = {Systems \& Control Letters}, volume = {57}, number = {12}, year = {2008}, month = {December}, pages = {980-986}, abstract = {Invariance principles and sufficient conditions for asymptotic stability for switching systems are given. Multiple Lyapunov-like functions are used, and dwell-time, persistent dwell-time, and weak dwell-time switching signals are considered. The invariance principles are derived from general invariance principles for hybrid systems. Asymptotic stability is concluded under observability assumptions or common bounds on the Lyapunov-like functions.}, keywords = {hybrid systems}, doi = {http://www.sciencedirect.com/science/article/pii/S0167691108001035}, url = {https://hybrid.soe.ucsc.edu/files/preprints/22.pdf}, author = {R. Goebel and R. G. Sanfelice and A. R. Teel} } @article {18, title = {Invariance principles for hybrid systems with connections to detectability and asymptotic stability}, journal = {IEEE Transactions on Automatic Control}, volume = {52}, number = {12}, year = {2007}, pages = {2282{\textendash}2297}, abstract = {The paper shows several versions of the (LaSalle{\textquoteright}s) invariance principle for general hybrid systems. The broad framework allows for nonuniqueness of solutions, Zeno behaviors, and does not insist on continuous dependence of solutions on initial conditions. Instead, only a mild structural property involving graphical convergence of solutions is posed. The general invariance results are then specified to hybrid systems given by set-valued data. Further results involving invariance as well as observability, detectability, and asymptotic stability are given.}, keywords = {hybrid systems}, doi = {http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=04395187}, url = {https://hybrid.soe.ucsc.edu/files/preprints/18.pdf}, author = {R. G. Sanfelice and R. Goebel and A. R. Teel} } @conference {340, title = { Stochastic Approximations of Differential Inclusions: Almost Sure Boundedness and Asymptotic Convergence}, booktitle = {13th IFAC Symposium on Nonlinear Control Systems (NOLCOS)}, year = {2025}, month = {August}, author = {A. R. Teel and R. Goebel and R. G. Sanfelice} } @conference {330, title = {Sharc: Simulator for Hardware Architecture and Real-time Control}, booktitle = {Proceedings of the Conference on Hybrid Systems: Computation and Control}, year = {2025}, month = {May}, author = {P. K. Wintz and Y. Sonmez and P. Griffioen and M. Xu and S. Oh and H. Litz and R. G. Sanfelice and M. Arcak} } @conference {327, title = {Deep Nonlinear Adaptive Control for Unmanned Aerial Systems Operating Under Dynamic Uncertainties}, booktitle = {2025 AIAA SciTech Forum-Guidance, Navigation, and Control Conference}, year = {2025}, month = {January}, author = {Z. Lamb and Z. Bell and M. Longmire and L. Paquet and P. Ganesh and R. G. Sanfelice} } @conference {324, title = {Stochastic Approximation Results for Hybrid Inclusions}, booktitle = {Proceedings of the 63rd IEEE Conference on Decision and Control}, year = {2024}, month = {December}, pages = {7822-7827}, author = {A. R. Teel and R. Goebel and R. G. Sanfelice and M. F. Crisafulli} } @conference {323, title = {Towards Gluing KKL Observer for Hybrid Systems with Unknown Jump Times}, booktitle = {Proceedings of the 63rd IEEE Conference on Decision and Control}, year = {2024}, month = {December}, pages = {1-11}, author = {S. Garcia-Castro and G. Q. B. Tran and P. Bernard and R. G. Sanfelice and F. Di-Meglio} } @conference {320, title = {Some Converse Lyapunov-Like Results for Strong Forward Invariance}, booktitle = {Proceedings of the 63rd IEEE Conference on Decision and Control}, year = {2024}, month = {December}, pages = {3605-3610}, author = {R. Goebel and R. G. Sanfelice and A. R. Teel} } @conference {297, title = {Multi-Channel Hybrid Time Domains and Clustering Protocols for Large-Scale Interconnections}, booktitle = {Proceedings of the 62nd IEEE Conference on Decision and Control}, year = {2023}, month = {December}, pages = {2847-2852}, author = {A. R. Teel and R. Goebel and R. G. Sanfelice} } @conference {288, title = {An Observer-Based Switching Algorithm for Safety under Sensor Denial-Of-Service Attacks}, booktitle = {Proceedings of the American Control Conference}, year = {2023}, month = {July}, pages = {2469-2474}, author = {S. Jimenez and K. Garg and R. G. Sanfelice and A. Cardenas} } @conference {281, title = {Control Barrier Function-Based Attack-Recovery with Provable Guarantees}, booktitle = {Proceedings of the 61st IEEE Conference on Decision and Control, December}, year = {2022}, month = {December}, pages = {4808-4813}, author = {K. Garg and R. G. Sanfelice and A. Cardenas} } @conference {271, title = {Sampling-Based Computation of Viability Domain to Prevent Safety Violations by Attackers}, booktitle = {Proceedings of the 6th IEEE Conference on Control Technology and Applications}, year = {2022}, month = {August}, pages = {720-725}, keywords = {computational methods, cyberphysical systems, cybersecurity}, author = {K. Garg and A. Cardenas and R. G. Sanfelice} } @conference {267, title = {On the Feasibility and Continuity of Feedback Controllers Defined by Multiple Control Barrier Functions for Constrained Differential Inclusions}, booktitle = {Proceedings of the American Control Conference}, year = {2022}, month = {June}, pages = {5160-5165}, keywords = {barrier functions, safety}, author = {A. Isaly and M. Ghanbarpour and W. Dixon and R. G. Sanfelice} } @conference {254, title = {A Duality Approach to Set Invariance and Safety for Nonlinear Systems}, booktitle = {Proceedings of the 60th IEEE Conference on Decision and Control}, year = {2021}, month = {December}, pages = {5388-5393}, author = {M. Ghanbarpour and R. G. Sanfelice} } @conference {227, title = {Hybrid Predictive Control for Tracking in a Single-Phase DC/AC Inverter with an Unknown Load}, booktitle = {Proceedings of the American Control Conference}, year = {2020}, month = {July}, pages = {1037-1042}, author = {H. Gao and M. Maghenem and R. G. Sanfelice} } @conference {225, title = {HyNTP: An Adaptive Hybrid Network Time Protocol for Clock Synchronization in Heterogeneous Distributed Systems}, booktitle = {Proceedings of the American Control Conference}, year = {2020}, month = {July}, pages = {1025-1030}, author = {M. Guarro and R. G. Sanfelice} } @conference {222, title = {An Adaptive Hybrid Control Algorithm for Sender-Receiver Clock Synchronization}, booktitle = {Proceedings of the IFAC World Congress}, volume = {53}, number = {2}, year = {2020}, month = {July}, pages = {1906-1911}, author = {M. Guarro and R. G. Sanfelice} } @conference {192, title = {A Moving Target Defense to Detect Stealthy Attacks in Cyber-Physical Systems}, booktitle = {Proceedings of the American Control Conference}, year = {2019}, month = {July}, pages = {391-396}, author = {J. Giraldo and A. Cardenas and R. G. Sanfelice} } @conference {187, title = {State Estimation of Linear Systems over a Network subject to Sporadic Measurements and Time-Delays}, booktitle = {Proceedings of the IFAC Workshop on Distributed Estimation and Control of Networked Systems}, year = {2018}, month = {August}, pages = {313-318}, author = {M. Guarro and F. Ferrante and R. G. Sanfelice} } @conference {180, title = {Applications of convex analysis to consensus algorithms, pointwise asymptotic stability, and its robustness}, booktitle = {Proceedings of the 2018 IEEE Conference on Decision and Control}, year = {2018}, month = {December}, pages = {2378-2383}, author = {R. Goebel and R. G. Sanfelice} } @conference {143, title = {Notions and Sufficient Conditions for Pointwise Asymptotic Stability in Hybrid Systems}, booktitle = {Proceedings of 10th IFAC Symposium on Nonlinear Control Systems}, volume = {49}, number = {18}, year = {2016}, month = {August}, pages = {140-145}, author = {R. Goebel and R. G. Sanfelice} } @conference {126, title = {How well-posedness of hybrid systems can extend beyond Zeno times}, booktitle = {Proceedings of the IEEE Conference on Decision and Control}, series = {NULL}, year = {2016}, pages = {598--603}, author = {R. Goebel and R. G. Sanfelice} } @conference {123, title = {A Hybrid Observer with a Continuous Intersample Injection in the Presence of Sporadic Measurements}, booktitle = {Proceedings of the IEEE Conference on Decision and Control}, series = {NULL}, year = {2015}, month = {December}, pages = {5654--5659}, author = {F. Ferrante and F. Gouaisbaut and R. G. Sanfelice and S. Tarbouriech} } @conference {108, title = {Observer-based Control Design for Linear Systems in the Presence of Limited Measurement Streams and Intermittent Input Access}, booktitle = {Proceedings of the American Control Conference}, series = {NULL}, year = {2015}, month = {June}, pages = {4689-4694}, keywords = {hybrid systems, observers}, author = {F. Ferrante and F. Gouaisbaut and R. G. Sanfelice and S. Tarbouriech} } @conference {97, title = {An Observer with Measurement-triggered Jumps for Linear Systems with Known Input}, booktitle = {Proceedings of the 19th IFAC World Congress}, series = {NULL}, year = {2014}, pages = {140--145}, keywords = {observers}, author = {F. Ferrante and F. Gouaisbaut and R. G. Sanfelice and S. Tarbouriech} } @conference {87, title = {Local linearization method in the integration of multibody equations}, booktitle = {Proceedings of the ECCOMAS Thematic Conference Multibody Dynamics}, series = {NULL}, year = {2013}, keywords = {simulation}, author = {G. Gil and R. G. Sanfelice and P. E. Nikravesh} } @conference {86, title = {Numerical integration scheme using singular perturbation method}, booktitle = {Proceedings of the ASME 2013 International Design Engineering Technical Conferences \& Computers and Information in Engineering Conference}, series = {NULL}, year = {2013}, keywords = {simulation}, author = {G. Gil and R. G. Sanfelice and P. E. Nikravesh} } @conference {80, title = {A Hybrid Model of a Genetic Regulatory Network in Mammalian Sclera}, booktitle = {Proceedings of the Hybrid Systems and Biology Workshop}, series = {NULL}, year = {2013}, keywords = {hybrid systems}, url = {https://hybrid.soe.ucsc.edu/files/preprints/80.pdf}, author = {Q. Shu and C. Ardilla and R. G. Sanfelice and J. P. Vande Geest} } @conference {33, title = {Supervising a family of hybrid controllers for robust global asymptotic stabilization}, booktitle = {Proc. 47th IEEE Conference on Decision and Control}, series = {NULL}, year = {2008}, pages = {4700{\textendash}4705}, abstract = {This paper describes an algorithm for achieving robust, global asymptotic stabilization in nonlinear control systems by supervising the actions of a family of hybrid controllers. The family is such that the regions over which they operate cover the state space in an appropriate sense. Moreover, their behavior is such that they can be scheduled to move the state of the system toward a desirable region, whether it be an equilibrium point or a compact set. In establishing our main result, we use the concept of ?events? for hybrid systems and show that, under mild assumptions, stability of a system without events is preserved when a ?nite number of events are incorporated. The algorithm is applied to robust, global stabilization problems involving vehicle orientation, position and orientation of a mobile robot, and the inverted con?guration of a pendulum.}, keywords = {hybrid systems}, doi = {http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=\&arnumber=4739481\&isnumber=4738560}, url = {https://hybrid.soe.ucsc.edu/files/preprints/33.pdf}, author = {R. G. Sanfelice and A. R. Teel and R. Goebel} } @conference {16, title = {Complex hybrid systems: stability analysis for omega limit sets}, booktitle = {Proc. 26th Chinese Control Conference}, series = {NULL}, year = {2007}, abstract = {This paper focuses on the asymptotic stability properties of omega limit sets for complex hybrid dynamical systems, which are commonly found in systems and engineering. It spells out specific stability results that follow when a hybrid dynamical system has certain structure, e.g., when it admits a decomposition resembling a cascade of hybrid dynamical systems.}, keywords = {hybrid systems}, url = {https://hybrid.soe.ucsc.edu/files/preprints/16.pdf}, author = {C. Cai and R. Goebel and R. G. Sanfelice and A.R. Teel} } @conference {15, title = {Hybrid systems techniques for convergence of solutions to switched systems}, booktitle = {Proc. 46th IEEE Conference on Decision and Control}, series = {NULL}, year = {2007}, pages = {92{\textendash}96}, abstract = {Invariance principles for hybrid systems are used to derive invariance principles for nonlinear switching systems with multiple Lyapunov-like functions. Dwell-time, persistent dwell-time, and weak dwell-time solutions are considered. Asymptotic stability results are deduced under observability assumptions or common bounds on the Lyapunov-like functions.}, keywords = {hybrid systems}, doi = {http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=\&arnumber=4435008\&isnumber=4434000}, url = {https://hybrid.soe.ucsc.edu/files/preprints/15.pdf}, author = {R. Goebel and R. G. Sanfelice and A.R. Teel} } @conference {14, title = {{H}ybrid {S}ystems: stability and control}, booktitle = {Proc. 26th Chinese Control Conference}, series = {NULL}, year = {2007}, chapter = {Hybrid systems: limit sets and zero dynamics with a view toward output regulation}, abstract = {We present results on omega-limit sets and minimum phase zero dynamics for hybrid dynamical systems. Moreover, we give pointers to how these results may be useful in the future for solving the output regulation problem for hybrid systems. We highlight the main attributes of omega-limit sets and we show, under mild conditions, that they are asymptotically stable. We define a minimum phase notion in terms of omega-limit sets and establish an equivalent Lyapunov characterization. Then we study the feedback stabilization problem for a class of minimum phase, relative degree one hybrid systems. Finally, we discuss output regulation for this class of hybrid systems. We illustrate the concepts with examples throughout the paper.}, keywords = {hybrid systems}, url = {https://hybrid.soe.ucsc.edu/files/preprints/14.pdf}, author = {C. Cai and R. Goebel and R. G. Sanfelice and A. R. Teel} } @conference {10, title = {On the robustness to measurement noise and unmodeled dynamics of stability in hybrid systems}, booktitle = {Proc. 25th American Control Conference}, series = {NULL}, year = {2006}, pages = {4061{\textendash}4066}, abstract = {

Results on robustness to measurement noise and unmodeled dynamics of stability in hybrid systems are presented. We show that arbitrarily small measurement noise can lead to lack of existence of solutions in hybrid systems. One solution to this problem is to pass the measurements through a filter. Robustness to measurement noise using this filtering is shown explicitly. We also study the effect of unmodeled sensor/actuator dynamics in the closed loop and we demonstrate that stability is robust to a class of singular perturbations. The results are illustrated for the inverted pendulum on a cart system when attempting to globally asymptotically stabilize the inverted position of the pendulum and the neutral cart position.

}, keywords = {hybrid systems}, doi = {http://ieeexplore.ieee.org/iel5/11005/34689/01657354.pdf?tp=\&arnumber=1657354\&isnumber=34689}, url = {https://hybrid.soe.ucsc.edu/files/preprints/10.pdf}, author = {R. G. Sanfelice and A. R. Teel and R. Goebel and C. Prieur} } @conference {6, title = {A feedback control motivation for generalized solutions to hybrid systems}, booktitle = {Hybrid Systems: Computation and Control, Lecture Notes in Computer Science 3927}, series = {NULL}, year = {2006}, pages = {522{\textendash}536}, publisher = {Springer Berlin / Heidelberg}, organization = {Springer Berlin / Heidelberg}, abstract = {

Several recent results in the area of robust asymptotic stability of hybrid systems show that the concept of a generalized solution to a hybrid system is suitable for the analysis and design of hybrid control systems. In this paper, we show that such generalized solutions are exactly the solutions that arise when measurement noise is present in the system.

}, keywords = {hybrid systems}, doi = {http://www.springerlink.com/content/p1l0517700517248/fulltext.pdf}, url = {https://hybrid.soe.ucsc.edu/files/preprints/6.pdf}, author = {R. G. Sanfelice and R. Goebel and A.R. Teel}, editor = {J. P. Hespanha and A. Tiwari and J. P. Hespanha and A. Tiwari} } @conference {4, title = {Results on convergence in hybrid systems via detectability and an invariance principle}, booktitle = {Proc. 24th American Control Conference}, series = {NULL}, year = {2005}, pages = {551{\textendash}556}, abstract = {

Two invariance principles for generalized hybrid systems are presented. One version involves the use of a nonincreasing function, like in the original work of LaSalle. The other version involves {\textquoteleft}{\textquoteleft}meagreness" conditions. These principles characterize asymptotic convergence of bounded hybrid trajectories to weakly invariant sets. A detectability property is used to locate a set in which the Omega-limit set of a trajectory is contained. Next, it is shown how the invariance principles can be used to certify asymptotic stability in hybrid systems. Lyapunov and Krasovskii theorems for hybrid systems are included.

}, keywords = {hybrid systems}, doi = {http://ieeexplore.ieee.org/iel5/9861/31519/01470014.pdf?tp=\&arnumber=1470014\&isnumber=31519}, url = {https://hybrid.soe.ucsc.edu/files/preprints/4.pdf}, author = {R. G. Sanfelice and R. Goebel and A.R. Teel} } @conference {3, title = {Hybrid systems: generalized solutions and robust stability}, booktitle = {Proc. 6th IFAC Symposium in Nonlinear Control Systems}, series = {NULL}, year = {2004}, pages = {1{\textendash}12}, abstract = {

Robust asymptotic stability for hybrid systems is considered. For this purpose, a generalized solution concept is developed. The first step is to characterize a hybrid time domain that permits an efiient description of the convergence of a sequence of solutions. Graph convergence is used. Then a generalized solution definition is given that leads to continuity with respect to initial conditions and perturbations of the system data. This property enables new results on necessary conditions for asymptotic stability in hybrid systems.

}, keywords = {hybrid systems}, doi = {http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.61.8882\&rep=rep1\&type=pdf}, url = {https://hybrid.soe.ucsc.edu/files/preprints/3.pdf}, author = {R. Goebel and J.P. Hespanha and A.R. Teel and C. Cai and R. G. Sanfelice} }