Controllability and observability of complex [r]-matrix time-varying impulsive systems

被引：7

作者：

Fang, Tao ^{[1
,2
]}

Sun, Jitao ^{[1
]}

机构：

[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China

[2] Shanghai Univ Engn Sci, Sch Fundamental Studies, Shanghai 201620, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2013年

关键词：

complex-valued systems; impulsive systems; matrix differential equation; controllability; observability; DIFFERENTIAL-EQUATIONS;

D O I：

10.1186/1687-1847-2013-129

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Since many equations of practical systems such as Schrodinger equation, Ginzburg-Landau equation and Orr-Sommerfeld equation are defined in complex number fields, in this paper, the issue of controllability and observability for an [r]-matrix time-varying impulsive system defined in complex fields is addressed. Several sufficient and necessary conditions for state controllability and observability of such a system are established. Meanwhile, corresponding controllability and observability criteria for the [r]-matrix time-invariant impulsive system are also obtained.

引用

页数：16

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