Stability of retarded delay differential systems
作者:
SUCHIN ARUNSAWATWONG,
期刊:
International Journal of Control
(Taylor Available online 1996)
卷期:
Volume 65,
issue 2
页码: 347-364
ISSN:0020-7179
年代: 1996
DOI:10.1080/00207179608921701
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
A practical stability test for linear retarded delay differential systems is proposed. Based on the fact that all unstable zeros of the characteristic quasipolynomial must lie within a restricted bounded region of the complex plane, the test provides a readily computable necessary and sufficient condition for asymptotic stability. It also copes equally well with both cases of commensurate and non-commensurate delays. Furthermore, a method for evaluating the abscissa of stability of the quasi-polynomial, defined as the largest of the real parts of the zeros of the quasipolynomial, is given. The method is based on a known technique which makes repeated use of a stability test, and thereby avoids the calculation of all the zeros. The stability test and the method for computing the abscissa of stability provide useful computational tools for the design of dynamical systems with delays using the method of inequalities. Numerical examples are given.
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