Stability Analysis of Discrete-Time Piecewise-Linear Systems: A Generating Function Approach

被引：6
|
作者：
Liu, Kai [1 ]
Hu, Jianghai [2 ]
Yao, Yu [3 ]
Yang, Baoqing [3 ]
Huo, Xin [4 ]
机构：
[1] Beijing Inst Aerosp Technol, Harbin, Peoples R China
[2] Purdue Univ, Sch Elect & Comp Engn, W Lafayette, IN 47907 USA
[3] Harbin Inst Technol, Control & Simulat Ctr, Harbin, Peoples R China
[4] Harbin Inst Technol, Control & Simulat Ctr, Sch Astronaut, Harbin, Peoples R China
来源：
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2014年 / 12卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Exponential stability; generating function; growth rate; piecewise-linear systems; STABILIZATION; COMPUTATION;
D O I：
10.1007/s12555-013-0064-2
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper studies the exponential stability of a class of discrete-time piecewise-linear systems (DPLS). Some basic properties of the proposed DPLS are established, which enables the generating function approach to be used for the system stability analysis. By introducing the generating functions of DPLS and showing their properties, a sufficient and necessary condition for the exponential stability of DPLS is derived. Furthermore, the maximum exponential growth rate of system trajectories can be obtained exactly by computing the radii of convergence of the generating functions. The algorithm for computing the generating functions is developed and two examples are given to demonstrate the proposed approach.
引用
收藏
页码：1005 / 1010
页数：6
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