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测度型奇异脉冲微分系统的某些基本理论的研究
Study on Some Fundamental Theories of Singular Measure Differential Systems with Impulse Effect
【摘要】 具有脉冲解的奇异测度微分系统的基本理论至今尚未建立,本文对这一问题进行了研究.首先建立了奇异测度微分系统与相应的奇异测度积分系统的等价性,然后借助于Drezin逆,在初始条件相容的情况下给出了线性奇异测度微分系统解的表达式,最后得到了一类非线性奇异测度微分系统的常数变易公式.
【Abstract】 Fundamental theory of the singular measure differential systems with impulsive solutions which have not been studied up to now is presented and taken into account.The equivalence be tween the singular measure differential systems and the corresponding singular measure integral equations is found. With the help of Drazin inverse.the solutions of the linear singular systems of differential equations with impulsive effects are obtained and the variation of parameters formula for a class of nonlinear singular measure differential systeme is for established under the consistent initial conditions.
【Key words】 singular measure systems; impulsive solution; variation of parameters formula; equivalence;
- 【文献出处】 控制理论与应用 ,CONTROL THEORY & APPLICATIONS , 编辑部邮箱 ,1994年03期
- 【分类号】TP273
- 【下载频次】45