Electrical & Computer Engineering Faculty Publications

Document Type

Article

Publication Date

6-1-1996

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.

Publisher

IEEE

Publication Title

Proceedings of the 4th IEEE Mediterranean Symposium of New Directions in Control and Automation

First Page

77

Last Page

82

Language (ISO)

English

Sponsorship

IEEE

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