2019
DOI: 10.1109/access.2019.2941976
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Stability Analysis of Markov Jump Neural Networks With Mixed Delays in Finite Frequency Domain Based on PDC Controller

Abstract: In this paper, the stability of Markov jumping neural network (MJNN) with mixed delays under the control of finite frequency domain Parallel Distributed Compensation (PDC) controller is studied. By introducing the generalized-KYP lemma, the frequency domain analysis is combined with the neural network. The positive definite and negative definite conditions in Lyapunov stability theory are improved by using Bessel-Legendre inequality method. Sufficient conditions for the stability of the system are given and pr… Show more

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“…In order to model such NNs, the Markov jump parameters is introduced (Dai et al, 2019; Selvaraj et al, 2018; Song et al, 2019b; Xu R et al, 2017). In the past few years, researchers have also made some results on MJNNs, including stability analysis (Jiao et al, 2018; Samidurai et al, 2016; Xu and Sun, 2019), synchronization control (Cheng et al, 2017; Song et al, 2020; Xu Y et al, 2017), and asynchronous filtering (Shen et al, 2018; Zhao et al, 2020; Zhou et al, 2020). However, the extended dissipation analysis of Markov jump coupled NNs (MJCNNs) is rarely considered.…”
Section: Introductionmentioning
confidence: 99%
“…In order to model such NNs, the Markov jump parameters is introduced (Dai et al, 2019; Selvaraj et al, 2018; Song et al, 2019b; Xu R et al, 2017). In the past few years, researchers have also made some results on MJNNs, including stability analysis (Jiao et al, 2018; Samidurai et al, 2016; Xu and Sun, 2019), synchronization control (Cheng et al, 2017; Song et al, 2020; Xu Y et al, 2017), and asynchronous filtering (Shen et al, 2018; Zhao et al, 2020; Zhou et al, 2020). However, the extended dissipation analysis of Markov jump coupled NNs (MJCNNs) is rarely considered.…”
Section: Introductionmentioning
confidence: 99%