应用数学和力学(英文版)
應用數學和力學(英文版)
응용수학화역학(영문판)
APPLIED MATHEMATICS AND MECHANICS(ENGLISH EDITION)
2003年
9期
1041-1050
,共10页
hybrid dynamic system%switched linear system%time-delay%controllability%generalized cyclic invariant subspace%switching sequence%switching path
The controllability for switched linear system with time-delay in controls was first investigated. The whole work contains three parts. This is the first part, including problem formulation and some preliminaries. Firstly, the mathematical model of switched linear systems with time-delay in control functions vas presented. Secondly, the concept of column space , cyclic invariant subspace and generalized cyclic invariant subspace were introduced.And some basic properties, such as separation lemma , were presented. Finally, a basic lemma was given to reveal the relation between the solution set of a centain integral equations and the generalized cyclic invariant subspace. This lemma will play an important role in the determination of controllability. All these definitions and lemmas are necessary research tools for controllability analysis.
