ISSN:
1573-2754
Keywords:
hybrid dynamic system
;
switched linear system
;
time-delay
;
controllability
;
generalized cyclic invariant subspace
;
switching sequence
;
switching path
;
TP13
;
TP273
;
O317
;
93B05
;
93B27
;
93C99
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
,
Mathematics
,
Physics
Notes:
Abstract 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 was 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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02437636
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