Global input-to-state stabilization with quantized feedback for discrete-time piecewise affine systems with time delays

被引：6
作者：
Mu Xiaowu [1 ,2 ]
Gao Yang [1 ,3 ,4 ]
机构：
[1] Zhengzhou Univ, Dept Math, Zhengzhou 450001, Peoples R China
[2] Beijing Univ, Grad Sch, Beijing 100049, Peoples R China
[3] Daqing Normal Univ, Dept Math, Daqing 163712, Peoples R China
[4] Harbin Inst Technol, Grad Sch, Harbin 150001, Peoples R China
来源：
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY | 2013年 / 26卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Discrete systems; input-to-state stability; piecewise affine systems; quantized feedback; stabilization; SMALL-GAIN THEOREM; NONLINEAR-SYSTEMS; HYBRID SYSTEMS; STABILITY; ISS;
D O I：
10.1007/s11424-013-1082-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, global input-to-state stabilization with quantized feedback for discrete-time piecewise affine systems (PWA) with time delays are considered. Both feedback with time delays and feedback without time delays are considered. Piecewise quadratic ISS-Lyapunov functions are adopted. Both Lyapunov-Razumikhin and Lyapunov-Krasovskii methods are adopted. The theorems for global input-to-state stabilization with quantized feedback of discrete PWA systems with time delays are shown.
引用
收藏
页码：925 / 939
页数：15
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