摘要：Since many equations of practical systems such as Schrödinger 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. MSC:34H05, 34H99.
关键词：complex-valued systems ; impulsive systems ; matrix differential equation ; controllability ; observability
