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Author:

Ge, Zhaoqiang (Ge, Zhaoqiang.)

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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.

Keyword:

Laplace transforms Linear matrix inequalities Observability Stochastic systems System stability

Author Community:

  • [ 1 ] [Ge, Zhaoqiang]School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, Shaanxi; 710049, China

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Source :

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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