Input-to-State Stability Analysis for Stochastic Delayed Systems With Markovian Switching

Yanlei Wu; Mingxin Liu; Xiaotai Wu; Wenbing Zhang; Jinde Cao

doi:10.1109/ACCESS.2017.2759304

IEEE Access (Jan 2017)

Input-to-State Stability Analysis for Stochastic Delayed Systems With Markovian Switching

Yanlei Wu,
Mingxin Liu,
Xiaotai Wu,
Wenbing Zhang,
Jinde Cao

Affiliations

Yanlei Wu: School of Mathematics and Physics, Anhui Polytechnic University, Wuhu, China
Mingxin Liu: School of Information Science and Engineering, Yanshan University, Qinhuangdao, China
Xiaotai Wu: School of Mathematics and Physics, Anhui Polytechnic University, Wuhu, China
Wenbing Zhang: ORCiD; Department of Mathematics, Yangzhou University, Yangzhou, China
Jinde Cao: School of Mathematics, Southeast University, Nanjing, China

DOI: https://doi.org/10.1109/ACCESS.2017.2759304
Journal volume & issue: Vol. 5
pp. 23663 – 23671

Abstract

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This paper is concerned with the input-to-state stability (ISS) and integral input-to-state stability (iISS) of stochastic delayed systems with Markovian switching. By using the multiple Lyapunovlike function and Lyapunov-Krasovskii function methods, the ISS and iISS are considered for stochastic delayed systems with Markovian switching and external inputs. In addition, when there do not exist external inputs, the pth moment exponential stability and stochastically asymptotically stable in large are presented for stochastic delayed systems with Markovian switching. Two examples are presented to demonstrate the effectiveness of the proposed results.

Published in IEEE Access

ISSN: 2169-3536 (Online)
Publisher: IEEE
Country of publisher: United States
LCC subjects: Technology: Electrical engineering. Electronics. Nuclear engineering
Website: https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=6287639

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