Stochastic Exponential Stabilization for Markov Jump Neural Networks with Time-varying Delays via Adaptive Event-Triggered Impulsive Control
Joint Authors
Zhang, Haiyang
Wu, Tao
Liu, Xiaoman
Shu, Jinlong
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-06-27
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
This paper focuses on the exponential stabilization problem for Markov jump neural networks with Time-varying Delays (TDs).
Firstly, we provide a new Free-matrix-based Exponential-type Integral Inequality (FMEII) containing the information of attenuation exponent, which is helpful to reduce the conservativeness of stability criteria.
To further save control cost, we introduce a sample-based Adaptive Event-triggered Impulsive Control (AEIC) scheme, in which the trigger threshold is adaptively varied with the sampled state.
By fully considering the information about sampled state, TDs, and Markov jump parameters, a suitable Lyapunov–Krasovskii functional is constructed.
With the virtue of FMEII and AEIC scheme, some novel stabilization criteria are presented in the form of linear matrix inequalities.
At last, two numerical examples are given to show the validity of the obtained results.
American Psychological Association (APA)
Liu, Xiaoman& Zhang, Haiyang& Wu, Tao& Shu, Jinlong. 2020. Stochastic Exponential Stabilization for Markov Jump Neural Networks with Time-varying Delays via Adaptive Event-Triggered Impulsive Control. Complexity،Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1141757
Modern Language Association (MLA)
Liu, Xiaoman…[et al.]. Stochastic Exponential Stabilization for Markov Jump Neural Networks with Time-varying Delays via Adaptive Event-Triggered Impulsive Control. Complexity No. 2020 (2020), pp.1-15.
https://search.emarefa.net/detail/BIM-1141757
American Medical Association (AMA)
Liu, Xiaoman& Zhang, Haiyang& Wu, Tao& Shu, Jinlong. Stochastic Exponential Stabilization for Markov Jump Neural Networks with Time-varying Delays via Adaptive Event-Triggered Impulsive Control. Complexity. 2020. Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1141757
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1141757