Necessary and sufficient conditions of pointwise completeness of linear time-invariant delay-differential systems†
作者:
A. K. CHOUDHURY,
期刊:
International Journal of Control
(Taylor Available online 1972)
卷期:
Volume 16,
issue 6
页码: 1083-1100
ISSN:0020-7179
年代: 1972
DOI:10.1080/00207177208932341
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
Necessary and sufficient conditions of pointwise completeness at time t1(i.e. no component of the n-dimensional state vector should be equal to zero at time i, for all possible choices of the initial functions) of any system of the form x(t)= Ax(t) + Bx(t-h) are given. It has been shown that if the linear time-invariant delay-differential system is not pointwise complete at time t1, then it is also not pointwise complete at time t>t1and if the linear time-invariant delay-differential system is not pointwise complete at time t=t1>(n-1)hthen it is also not pointwise complete at time t= >(n-1)h.
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