Passivity and stability of systems with a state representation†
作者:
R. F. ESTRADA,
C.A. DESOER,
期刊:
International Journal of Control
(Taylor Available online 1971)
卷期:
Volume 13,
issue 1
页码: 1-26
ISSN:0020-7179
年代: 1971
DOI:10.1080/00207177108931920
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The concept of passivity is developed for systems with a state representation. This development of passivity is related to network passivity and passivity of operators as used by Zames, Falb, Wu and others. This formulation of passivity naturally leads to general stability theorems for feedback systems. AnL2-inputL2-output stability theorem similar to those arising out of passive (positive) operator theory is derived. Also a theorem for Liapunov stability similar to one of Baker and Bergen is obtained. In addition, this formulation leads to bounded-input bounded-state stability theorems.
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