Representation of solutions of control hybrid differential-difference impulse systems

被引：0

作者：

V. M. Marchenko

Z. Zaczkiewicz

机构：

[1] Belarus State Technological University,

[2] Bialystok Technical University,undefined

来源：

Differential Equations | 2009年 / 45卷

关键词：

Matrix Function; Duality Relation; Control Hybrid; Cauchy Formula; Control Dynamical System;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider linear nonstationary hybrid differential-difference controlled dynamical systems under the action of impulses. For such systems, we derive integral representations of solutions on the basis of the solution of dual (adjoint) systems. This is, in a sense, a generalization to these systems of the Cauchy formula for ordinary systems. This formula is refined in the stationary case. The results are illustrated by an example

引用

页码：1811 / 1822

页数：11

共 7 条

[1] Marchenko V.M.(2006)On the Observability of Linear Differential-Algebraic Systems with Delays IEEE Trans. Automat. Control 51 1387-1392
[2] Poddubnaya O.N.(2006)Representation of Solutions of Hybrid Differential-Difference Systems Differ. Uravn. 42 789-804
[3] Zaczkiewicz Z.(2007)DAD Systems of Control and Observation and Open Problems Int. J. Math. Manuscripts 1 111-125
[4] Marchenko V.M.(1996)The Reachability and Observability of Hybrid Multirate Sampling Systems Comput. Math. Appl. 31 109-122
[5] Poddubnaya O.N.(undefined)undefined undefined undefined undefined-undefined
[6] Marchenko V.M.(undefined)undefined undefined undefined undefined-undefined
[7] De la Sen M.(undefined)undefined undefined undefined undefined-undefined

← 1 →