Variational lyapunov method for discrete hybrid systems

✍ Scribed by S. Dontha; Z. Drici

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 433 KB
• Volume: 38
• Category: Article
• ISSN: 0895-7177
• DOI: 10.1016/s0895-7177(03)90015-x

✦ Synopsis

In general, a hybrid dynamic system is a system with different kinds of time dynamics? e.g., continuous, discrete, or impulsive, in different interacting parts of the system. This paper deals with discrete hybrid systems described by the following equations: whereF:N,+oxRmxIWm~IWm, X,:N,foxR"-+iP, W$<> = (no,no+l,no+2.. .}* XT E ?Rm and 0 < to = 70 < ~1 < 7-2 < . TV < . , rr -+ M as T --$ CO. A special case of such system is when TV = no + TC, where c > 1 is a fixed integer. System (1 .l) is hybrid in the sense that it incorporates two distinct discrete-time dynamics: the dynamic controlled by the variable 12 E N& and the time dynamic controlled by TV E {no, 120 + c, 120 + 2c, . }. Systems of form (1.1) appear in control systems where X, represents an input control function [2].