CONTROLLABILITY OF A CLASS OF HYBRID DYNAMIC SYSTEMS (Ⅰ)—BASIC PROPERTIES AND PRELIMINARY RESULTS |
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摘 要: |
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收稿时间: | 29 January 2002 |
Controllability of a class of hybrid dynamic systems (I)—Basic properties and preliminary results |
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Authors: | Xie Guang-ming Wang Long Ye Qing-kai |
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Institution: | (1) Department of Mechanics and Engineering Science, Peking University, 100871 Beijing, P.R. China |
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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.
Contributed by YE Qing-kai
Foundation items: the National Natural Science Foundation of China (69925307, 60274001); the National Key Basic Reasearch and Development
Program (2002CB312200); the Postdoctoral Program Foundation of China
Biography: XIE Guang-ming (1972∼), Doctor (E-mail: xiegming@mech.pku.edu.cn) |
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Keywords: | hybrid dynamic system switched linear system time-delay controllability generalized cyclic invariant subspace switching sequence switching path |
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