慢变线性切换系统的镇定

数学季刊 ›› 2012, Vol. 27 ›› Issue (1): 18-23.

慢变线性切换系统的镇定

1. Department of Water Conservancy, Yellow River Conservancy Technical Institute 2. Department of Fundamental, Yellow River Conservancy Technical Institute

收稿日期:2009-03-12 出版日期:2012-03-30 发布日期:2023-04-04
作者简介:ZHANG Bing(1981-), male, native of Fangcheng, Henan, an assistant of Yellow River Conservancy Technical Institute, M.S.D., engages in nonlinear systems; LIANG Tong(1982-), female, native of Wuyang, Henan, an assistant of Yellow River Conservancy Technical Institute, M.S.D., engages in nonlinear functional study.
基金资助:

Stabilization of Slowly Varying Switched Linear Systems

1. Department of Water Conservancy, Yellow River Conservancy Technical Institute 2. Department of Fundamental, Yellow River Conservancy Technical Institute

Received:2009-03-12 Online:2012-03-30 Published:2023-04-04
About author:ZHANG Bing(1981-), male, native of Fangcheng, Henan, an assistant of Yellow River Conservancy Technical Institute, M.S.D., engages in nonlinear systems; LIANG Tong(1982-), female, native of Wuyang, Henan, an assistant of Yellow River Conservancy Technical Institute, M.S.D., engages in nonlinear functional study.

摘要/Abstract

摘要： The stabilization problem of systems that switch among a finite set of slowly varying linear systems with arbitrary switching frequency is discussed. It is shown that if the entries of the pointwise stabilizing feedback gain matrix are continuously differentiable functions of the entries of the system coefficient matrices, then the closed-loop system is uniformly asymptotically stable if the rate of time variation of the system coefficient matrices is sufficiently small.

关键词: slowly varying, switched linear systems, stabilization, frozen-time method; stability

Abstract: The stabilization problem of systems that switch among a finite set of slowly varying linear systems with arbitrary switching frequency is discussed. It is shown that if the entries of the pointwise stabilizing feedback gain matrix are continuously differentiable functions of the entries of the system coefficient matrices, then the closed-loop system is uniformly asymptotically stable if the rate of time variation of the system coefficient matrices is sufficiently small.

Key words: slowly varying, switched linear systems, stabilization, frozen-time method; stability

中图分类号:

O231

张兵, 梁童. 慢变线性切换系统的镇定[J]. 数学季刊, 2012, 27(1): 18-23.

ZHANG Bing, LIANG Tong. Stabilization of Slowly Varying Switched Linear Systems[J]. Chinese Quarterly Journal of Mathematics, 2012, 27(1): 18-23.

[1]	陈金环, 高永良. 非光滑控制Lyapunov函数及非线性切换系统的镇定问题[J]. 数学季刊, 2007, 22(4): 586-591.
[2]	张志平, 王建平. 动力系统的稳定化问题[J]. 数学季刊, 2006, 21(1): 80-84.
[3]	. [J]. 数学季刊, 2005, 20(3): 280-288.