Results 11 to 20 of about 2,062 (175)
On the existence of Zeno behavior in hybrid systems with non-isolated Zeno equilibria [PDF]
2008 47th IEEE Conference on Decision and Control, 2008 This paper presents proof-certificate based sufficient conditions for the existence of Zeno behavior in hybrid systems near non-isolated Zeno equilibria. To establish these conditions, we first prove sufficient conditions for Zeno behavior in a special class of hybrid systems termed first quadrant interval hybrid systems.
Andrew G. Lamperski, Aaron D. Ames
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Lyapunov-Like Conditions for the Existence of Zeno Behavior in Hybrid and Lagrangian Hybrid Systems [PDF]
2007 46th IEEE Conference on Decision and Control, 2007 Lyapunov-like conditions that utilize generalizations of energy and barrier functions certifying Zeno behavior near Zeno equilibria are presented. To better illustrate these conditions, we will study them in the context of Lagrangian hybrid systems. Through the observation that Lagrangian hybrid systems with isolated Zeno equilibria must have a one ...
Andrew G. Lamperski, Aaron D. Ames
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Continuous Piecewise Affine Dynamical Systems do not Exhibit Zeno Behavior [PDF]
IEEE Transactions on Automatic Control, 2011 In the context of continuous piecewise affine dynamical systems, we study the Zeno behavior, i.e., infinite number of mode transitions in finite time interval, in this note. The main result reveals that piecewise affine dynamical systems do not exhibit Zeno behavior. A direct benefit of the main result is that one can apply smooth ordinary differential
Thuan, Le Quang +1 more
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Characterization of zeno behavior in hybrid systems using homological methods [PDF]
Proceedings of the 2005, American Control Conference, 2005., 2005 It is possible to associate to a hybrid system a single topological space its underlying topological space. Simultaneously, every hybrid system has a graph as its indexing object its underlying graph. Here we discuss the relationship between the underlying topological space of a hybrid system, its underlying graph and Zeno behavior. When each domain is
Ames, Aaron D., Sastry, Shankar
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Enclosing the behavior of a hybrid system up to and beyond a Zeno point [PDF]
2013 IEEE 1st International Conference on Cyber-Physical Systems, Networks, and Applications (CPSNA), 2013 Even simple hybrid systems like the classic bouncing ball can exhibit Zeno behaviors. The existence of this type of behavior has so far forced simulators to either ignore some events or risk looping indefinitely. This in turn forces modelers to either insert ad hoc restrictions to circumvent Zeno behavior or to abandon hybrid modeling.
Michal Konecný +4 more
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Sufficient Conditions for Zeno Behavior in Lagrangian Hybrid Systems [PDF]
, 2008 This paper presents easily verifiable sufficient conditions for the existence of Zeno behavior in Lagrangian hybrid systems, i.e., hybrid systems modeling mechanical systems undergoing impacts.
Lamperski, Andrew, Ames, Aaron D.
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Enclosing the behavior of a hybrid automaton up to and beyond a Zeno point [PDF]
Nonlinear Analysis: Hybrid Systems, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Konečný, Michal +5 more
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A priori detection of Zeno behavior in communication networks modeled as hybrid systems [PDF]
2006 American Control Conference, 2006 In this paper, we show that the sufficient conditions for the existence of Zeno behavior in hybrid systems derived in (A. Abate et al., 2005) correctly predict such executions in a modeling instance of the fluid-flow approximation of the TCP-like protocol for wireless communication networks.
Abate, Alessandro +2 more
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Scalar linear complementarity systems do not exhibit Zeno behavior [PDF]
IFAC-PapersOnLine, 2017 This paper studies nature of solutions of scalar linear complementarity systems. The main result asserts that such systems do not exhibit Zeno behavior, that is there can only be finitely many switchings within any finite time interval.
Camlibel, M.K. +3 more
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Well-posed bimodal piecewise linear systems do not exhibit Zeno behavior [PDF]
IFAC Proceedings Volumes, 2008 The phenomenon of infinitely mode transitions in a finite time interval is called Zeno behavior in hybrid systems literature. It plays a critical role in the study of numerical methods and fundamental system and control theoretic properties of hybrid systems.
Camlibel, Kanat
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