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Controllability of generalised dynamical systems with constrained control

Published online by Cambridge University Press:  17 February 2009

Chen Zhaolin ,
Hong Huimin  and
Zhang Jifeng
Zhang Jifeng
Affiliation:
Shandong University, Jinan, P.R.C.
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Abstract

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The state controllability for generalised dynamical systems with constrained control is discussed in this paper. The main results of the paper are the following:

(1) a necessary and sufficient condition of the state controllability in the sense of control energy or amplitude constrained for generalised dynamical systems is obtained;

(2) a control function u(t) is constructed such that

a) u(t) satisfies constrained energy or amplitude condition,

b) the state driven by u(t) moves from an arbitrary x(0−) = x0 to x(T(x0)) = 0,

c) the trajectory driven by u(t) has no impulsive behaviour within (0, T(x0)].

Type
Research Article
Information
The ANZIAM Journal , Volume 30 , Issue 1 , July 1988 , pp. 69 - 78
Copyright
Copyright © Australian Mathematical Society 1988

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