Modified Riccati iterative algorithms for stochastic coupled algebraic Riccati equations of linear stochastic Markovian jump systems

This paper investigates the stochastic coupled algebraic Riccati equations (SCAREs) associated with linear stochastic Markovian jump systems. First, two existing algorithms utilized to solve the SCAREs are reviewed and discussed. Second, based on the analysis of these two algorithms, a modified Ricc...

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Vydáno v:Asian journal of control Ročník 26; číslo 4; s. 1787 - 1796
Hlavní autoři: Liu, Meijun, Zhao, Xueyan, Deng, Feiqi
Médium: Journal Article
Jazyk:angličtina
Vydáno: Hoboken Wiley Subscription Services, Inc 01.07.2024
Témata:
Iterative algorithms
linear stochastic Markovian jump systems
Parameter modification
Riccati equation
Riccati iterative algorithms
stochastic coupled algebraic Riccati equations (SCAREs)
ISSN:1561-8625, 1934-6093
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Shrnutí:This paper investigates the stochastic coupled algebraic Riccati equations (SCAREs) associated with linear stochastic Markovian jump systems. First, two existing algorithms utilized to solve the SCAREs are reviewed and discussed. Second, based on the analysis of these two algorithms, a modified Riccati iterative algorithm is proposed with a tuning parameter added. It is verified that the proposed algorithm with zero initial values converges to the unique positive definite solution of the SCAREs with fast speed. Furthermore, two numerical examples are given to verify the efficiency and superiority of the proposed algorithm.
Bibliografie:ObjectType-Article-1
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ISSN:1561-8625
1934-6093
DOI:10.1002/asjc.3300