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

• Articles • Previous Articles     Next Articles

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

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

  1. 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

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.

2010 MSC Number: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals