CONTROLLABILITY OF A CLASS OF HYBRID DYNAMIC SYSTEMS (Ⅲ)—MULTIPLE TIME-DELAY CASE

Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (9): 1063-1074.

CONTROLLABILITY OF A CLASS OF HYBRID DYNAMIC SYSTEMS (Ⅲ)—MULTIPLE TIME-DELAY CASE

谢广明, 王龙, 叶庆凯

Department of Mechanics and Engineering Science, Peking University, Beijing 100871, P. R. China

收稿日期:2002-01-29 修回日期:2003-05-28 出版日期:2003-09-18 发布日期:2003-09-18
基金资助:
the National Natural Science Foundation of China (69925307, 60274001);the National Key Basic Reasearch and Development Program (2002CB312200);the Postdoctoral Program Foundation of China

CONTROLLABILITY OF A CLASS OF HYBRID DYNAMIC SYSTEMS (Ⅲ)—MULTIPLE TIME-DELAY CASE

XIE Guang-ming, WANG Long, YE Qing-kai

Department of Mechanics and Engineering Science, Peking University, Beijing 100871, P. R. China

Received:2002-01-29 Revised:2003-05-28 Online:2003-09-18 Published:2003-09-18
Supported by:
the National Natural Science Foundation of China (69925307, 60274001);the National Key Basic Reasearch and Development Program (2002CB312200);the Postdoctoral Program Foundation of China

摘要/Abstract

摘要： The controllability for switched linear systems with time-delay in controls is first investigated. The whole work contains three parts. This is the third part. The definition and determination of controllability of switched linear systems with multiple time-delay in control functions is mainly investigated. The sufficient and necessary conditions for the one-periodic, multiple-periodic controllability of periodic-type systems and controllability of aperiodic systems are presented,respectively. Finally, the case of distinct delays is discussed, it is shown that the controllability is independent of the size of delays.

Abstract: The controllability for switched linear systems with time-delay in controls is first investigated. The whole work contains three parts. This is the third part. The definition and determination of controllability of switched linear systems with multiple time-delay in control functions is mainly investigated. The sufficient and necessary conditions for the one-periodic, multiple-periodic controllability of periodic-type systems and controllability of aperiodic systems are presented,respectively. Finally, the case of distinct delays is discussed, it is shown that the controllability is independent of the size of delays.

中图分类号:

谢广明;王龙;叶庆凯. CONTROLLABILITY OF A CLASS OF HYBRID DYNAMIC SYSTEMS (Ⅲ)—MULTIPLE TIME-DELAY CASE[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(9): 1063-1074.

XIE Guang-ming;WANG Long;YE Qing-kai . CONTROLLABILITY OF A CLASS OF HYBRID DYNAMIC SYSTEMS (Ⅲ)—MULTIPLE TIME-DELAY CASE[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(9): 1063-1074.

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CONTROLLABILITY OF A CLASS OF HYBRID DYNAMIC SYSTEMS (Ⅲ)—MULTIPLE TIME-DELAY CASE

CONTROLLABILITY OF A CLASS OF HYBRID DYNAMIC SYSTEMS (Ⅲ)—MULTIPLE TIME-DELAY CASE

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