Portal de Periódicos da CAPES

On hybrid impulsive and switching systems and application to nonlinear control

2005; Institute of Electrical and Electronics Engineers; Volume: 50; Issue: 7 Linguagem: Inglês

10.1109/tac.2005.851462

2334-3303

Zhi‐Hong Guan, David J. Hill, Xuemin Shen,

Stability and Control of Uncertain Systems

In this note, a new class of hybrid impulsive and switching models is introduced and their asymptotic stability properties are investigated. Using switched Lyapunov functions, some new general criteria for exponential stability and asymptotic stability with arbitrary and conditioned impulsive switching are established. In addition, a new hybrid impulsive and switching control strategy for nonlinear systems is developed. A typical example, the unified chaotic system, is given to illustrate the theoretical results.