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Abstract:
This paper discusses the exact observability and stability of the stochastic implicit systems. Firstly, the conditions for the existence and uniqueness of the impulse solution to stochastic implicit systems are given by stochastic Laplace transform. Secondly, the necessary and sufficient conditions for the exact observability of stochastic implicit systems are derived by the matrix theory. Thirdly, the application of exact observability of the stochastic implicit systems to its stability is discussed and sufficient conditions for the stability of systems considered are derived in terms of linear matrix inequalities. Finally, some examples are given to illustrate the effectiveness of the obtained theoretical results. © 2021 Elsevier B.V.
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Systems and Control Letters
ISSN: 0167-6911
Year: 2021
Volume: 157
2 . 8 0 4
JCR@2020
ESI Discipline: ENGINEERING;
ESI HC Threshold:30
CAS Journal Grade:3
Cited Count:
WoS CC Cited Count: 0
SCOPUS Cited Count: 4
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 2
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