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» Stability of Zeno equilibria in Lagrangian hybrid systems
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CDC
2008
IEEE
116views Control Systems» more  CDC 2008»
13 years 11 months ago
Stability of Zeno equilibria in Lagrangian hybrid systems
— This paper presents both necessary and sufficient conditions for the stability of Zeno equilibria in Lagrangian hybrid systems, i.e., hybrid systems that model mechanical syst...
Yizhar Or, Aaron D. Ames
CDC
2008
IEEE
137views Control Systems» more  CDC 2008»
13 years 11 months ago
On the existence of Zeno behavior in hybrid systems with non-isolated Zeno equilibria
Abstract— This paper presents proof-certificate based sufficient conditions for the existence of Zeno behavior in hybrid systems near non-isolated Zeno equilibria. To establish...
Andrew G. Lamperski, Aaron D. Ames
HYBRID
2000
Springer
13 years 8 months ago
Dynamical Systems Revisited: Hybrid Systems with Zeno Executions
Results from classical dynamical systems are generalized to hybrid dynamical systems. The concept of limit set is introduced for hybrid systems and is used to prove new results on...
Jun Zhang, Karl Henrik Johansson, John Lygeros, Sh...
HYBRID
2009
Springer
13 years 11 months ago
Existence of Periodic Orbits with Zeno Behavior in Completed Lagrangian Hybrid Systems
Abstract. In this paper, we consider hybrid models of mechanical systems undergoing impacts — Lagrangian hybrid systems, and study their periodic orbits in the presence of Zeno b...
Yizhar Or, Aaron D. Ames
HYBRID
2000
Springer
13 years 8 months ago
Towards a Geometric Theory of Hybrid Systems
Given a deterministic, non-blocking hybrid system, we introduce the notion of its hybrid manifold (or hybrifold) with the associated hybrid ow on it. This enables us to study hyb...
Slobodan N. Simic, Karl Henrik Johansson, Shankar ...