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Common, multiple and parametric Lyapunov functions for a class of hybrid dynamical systems

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Please use this identifier to cite or link to this item: http://hdl.handle.net/1928/20369

Common, multiple and parametric Lyapunov functions for a class of hybrid dynamical systems

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Title: Common, multiple and parametric Lyapunov functions for a class of hybrid dynamical systems
Author: Abdallah, Chaouki T.; Fierro, R.; Lewis, F.L.
Abstract: This paper considers Lyapunov stability of discontinuous dynamical systems. It is assumed that discontinuities in the system dynamics are caused by some internal (e.g. component failures), and/or external (e.g. controller commands) discrete events. This kind of systems are often called Hybrid Dynamical Systems. Three cases are discussed in this work. First, we consider that a set of continuous-state systems is given and each system from the set shares a common Lyapunov function. Second, stability of sequentially switched systems is investigated by means of multiple Lyapunov functions. Third, some preliminary results are provided for the case when a hybrid system switches between systems with parametric uncertainty.
Date: 1996-06
Publisher: IEEE
Citation: Proceedings of the 4th IEEE Mediterranean Symposium of New Directions in Control and Automation, Krete, Greece: 77-82
URI: http://hdl.handle.net/1928/20369

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