Stabilization of a Class of Nonlinear Systems using State-dependent Switching Control and Impulsive Control

被引：2
|
作者：
Stechlinski, Peter [1 ]
Liu, Xinzhi [1 ]
机构：
[1] Univ Waterloo, Dept Appl Math, Waterloo, ON N2L 3G1, Canada
来源：
ADVANCES IN MATHEMATICAL AND COMPUTATIONAL METHODS: ADDRESSING MODERN CHALLENGES OF SCIENCE, TECHNOLOGY, AND SOCIETY | 2011年 / 1368卷
关键词：
Hybrid systems; Switched systems; Stabilizability; Switching control; Impulsive control; State-dependent switching; Asynchronous switching; STABILITY; DESIGN;
D O I：
10.1063/1.3663464
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper develops a hybrid control strategy for stabilizing a class of nonlinear systems using switching and impulsive control. More specifically, some easily verifiable conditions are developed which guarantee the exponential stability of a class of switched and impulsive nonlinear systems under a particular state-dependent switching rule. The main result is proved using a common Lyapunov function. An illustrating example is given with a simulation.
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页数：4
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