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Author Jianqiang Li ♦ Hai-long Pei ♦ Shengxiang Zhang ♦ Baoluo Liu
Source IEEE Xplore Digital Library
Content type Text
Publisher Institute of Electrical and Electronics Engineers, Inc. (IEEE)
File Format PDF
Copyright Year ©2007
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science ♦ Technology ♦ Engineering & allied operations
Subject Keyword Automata ♦ Automatic control ♦ Automation ♦ Lyapunov method ♦ State-space methods ♦ Temperature control ♦ Agriculture ♦ Differential equations ♦ Ellipsoids ♦ Control systems
Abstract In this paper the concept and model of hybrid systems are introduced. Invariant sets introduced by LaSalle is proposed, and the concept is extended to invariant sets in hybrid systems which include disturbance. It is shown that the existence of invariant sets by arbitrary transition in hybrid systems is determined by whether there exist a common Lyapunov function in the systems. Based on the Lyapunov function, an efficient transition method is proposed to ensure the existence of invariant sets. An algorithm is concluded to compute the transition mode, and the invariant set can also be computed as a convex problem. The efficiency and correctness of the transition algorithm are demonstrated by an example of hybrid systems.
Description Author affiliation: South China Univ. of Technol., Guangzhou (Jianqiang Li; Hai-long Pei)
ISBN 9781424408177
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research ♦ Reading
Education Level UG and PG
Learning Resource Type Article
Publisher Date 2007-05-30
Publisher Place China
Rights Holder Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Size (in Bytes) 1.20 MB
Page Count 5
Starting Page 1722
Ending Page 1726

Source: IEEE Xplore Digital Library