New sets of stability criteria as a generalization of Markov's stability theorem
作者:
KAZUMI HORIGUCHI,
SHINJI HAYASHI,
NOZOMU HAMADA,
期刊:
International Journal of Control
(Taylor Available online 1986)
卷期:
Volume 43,
issue 5
页码: 1581-1591
ISSN:0020-7179
年代: 1986
DOI:10.1080/00207178608933560
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
In this paper new sets of algebraic stability criteria for linear time-invariant continuous-time systems are presented as a generalization of Markov's stability theorem. They are expressed as a series of inequalities for the Hankel determinants whose elements consist of the two kinds of Taylor coefficients associated with the characteristic polynomial of the systems. Results are derived that have close relations to the continued-fraction expansion and Padé approximation theory.
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