Controllability and Observability of Linear Time-Varying Impulsive Systems on Time Scales

被引：3

作者：

Zhang, Kexue ^{[1
]}

Liu, Xinzhi ^{[2
]}

机构：

[1] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Peoples R China

[2] Univ Waterloo, Dept Appl Math, Waterloo, ON N2L 3G1, Canada

来源：

ADVANCES IN MATHEMATICAL AND COMPUTATIONAL METHODS: ADDRESSING MODERN CHALLENGES OF SCIENCE, TECHNOLOGY, AND SOCIETY | 2011年 / 1368卷

关键词：

Time scale; Linear time-varying impulsive systems; Controllability; Observability;

D O I：

10.1063/1.3663451

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper studies the problems of controllability and observability of a general linear time-varying impulsive control systems on time scales. By proposing a formula of variation of parameters for this type of systems on time scales, several necessary and sufficient criteria on controllability and observability of the impulsive control system on time scales are established. It is shown that the classical results about controllability and observability of linear continuous impulsive systems can be generalized to the impulsive systems on time scales.

引用

页数：4

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