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
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.
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页数:16
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