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Robust Finite-time Boundedness of Discrete-time Neural Networks with Time-varying Delays

Mengying Ding, Yali Dong
2021 WSEAS Transactions on Information Science and Applications  
Then the sufficient conditions of robust finite-time stability for the discrete-time neural networks with time-varying delays are given.  ...  This paper is concerned with the problem of robust finite-time boundedness for the discrete-time neural networks with time-varying delays.  ...  Acknowledgments This work was supported by the Natural Science Foundation of Tianjin under Grant No. 18JCYBJC88000.  ... 
doi:10.37394/23209.2020.17.18 fatcat:aqfzkhfuwbd7lgzxuaisj3pbja

Mathematical Control of Complex Systems

Zidong Wang, Hamid Reza Karimi, Bo Shen, Jun Hu
2013 Mathematical Problems in Engineering  
theory, neural networks, multi-agents, and heuristic search methods.  ...  Topics include, but are not limited to: (1) control systems theory (behavioural systems, networked control systems, delay systems, distributed systems, infinite-dimensional systems and positive systems  ...  We are also very grateful to the reviewers for their thorough and on time reviews of the papers. Zidong Wang Hamid Reza Karimi Bo Shen Jun Hu  ... 
doi:10.1155/2013/407584 fatcat:yeijua6xwve45h63ajsmehxqmm

Finite-time passivity for neutral-type neural networks with time-varying delays – via auxiliary function-based integral inequalities

Shanmugam Saravanan, M. Syed Ali, Ahmed Alsaedi, Bashir Ahmad
2020 Nonlinear Analysis: Modelling and Control  
In this paper, we investigated the problem of the finite-time boundedness and finitetime passivity for neural networks with time-varying delays.  ...  A triple, quadrable and five integral terms with the delay information are introduced in the new Lyapunov–Krasovskii functional (LKF).  ...  In [27] , the authors have studied finite-time neutral delay uncertain neural networks. Passivity analysis for neural networks of neutral type has been studied in [32] .  ... 
doi:10.15388/namc.2020.25.16513 fatcat:a6pkajxx6zazjhelhhf2k6aoxu

Mathematical Theories and Applications for Nonlinear Control Systems

Xue-Jun Xie, Ju H. Park, Hiroaki Mukaidani, Weihai Zhang
2019 Mathematical Problems in Engineering  
The paper entitled "Finite-Time Stabilization for Stochastic Inertial Neural Networks with Time-Delay via Nonlinear Delay Controller" by D.  ...  Li et al. pays close attention to the problem of finite-time stabilization related to stochastic inertial neural networks with or without time delay.  ...  The editors also wish to thank the anonymous reviewers for their careful reading of the manuscripts submitted to this special issue collection and their many insightful comments and suggestions.  ... 
doi:10.1155/2019/2065786 fatcat:qx66v5pu3fgo7ee4rt7rn6rcj4

Enhanced robust finite-time passivity for Markovian jumping discrete-time BAM neural networks with leakage delay

C Sowmiya, R Raja, Jinde Cao, G Rajchakit, Ahmed Alsaedi
2017 Advances in Difference Equations  
This paper is concerned with the problem of enhanced results on robust finite-time passivity for uncertain discrete-time Markovian jumping BAM delayed neural networks with leakage delay.  ...  discrete-time BAM neural networks.  ...  Acknowledgements This work was jointly supported by the National Natural Science Foundation of China under Grant nos. 61573096 and 61272530, the Jiangsu Provincial Key Laboratory of Networked Collective  ... 
doi:10.1186/s13662-017-1378-9 pmid:29071005 pmcid:PMC5635139 fatcat:7yrbgitmo5fave4stje4fmk4aa

Globally fixed-time synchronization of coupled neutral-type neural network with mixed time-varying delays

Mingwen Zheng, Lixiang Li, Haipeng Peng, Jinghua Xiao, Yixian Yang, Yanping Zhang, Hui Zhao, Ming Tang
2018 PLoS ONE  
This paper mainly studies the globally fixed-time synchronization of a class of coupled neutral-type neural networks with mixed time-varying delays via discontinuous feedback controllers.  ...  ., et al. (2018) Globally fixed-time synchronization of coupled neutral-type neural network with mixed time-varying delays. PLoS ONE 13(1): e0191473. https://doi.org/10.  ...  neutral-type neural network.  ... 
doi:10.1371/journal.pone.0191473 pmid:29370248 pmcid:PMC5784957 fatcat:nzkxsk7z75ha7aklcqrpfe4pfm

Finite-time extended dissipative based optimal guaranteed cost resilient control for switched neutral systems with stochastic actuator failures

Quanxin Zhu, T. Saravanakumar, S. Gomathi, S. Marshal Anthoni
2019 IEEE Access  
ensure the finite-time stability of the switched neutral system.  ...  This work is devoted to the results of extended dissipative based on finite-time resilient guaranteed cost control of switched neutral time-delayed system subject to mismatched uncertainties and stochastic  ...  ROBUST FINITE-TIME BOUNDEDNESS In this subsection, our aim is to derive the sufficient conditions for the finite time boundedness of switched neutral system (10) without uncertainties.  ... 
doi:10.1109/access.2019.2926524 fatcat:72pav5oluvcetohztezctuwzra

2013 Index IEEE Transactions on Automatic Control Vol. 58

2013 IEEE Transactions on Automatic Control  
., and Shroff, N. B  ...  ., +, TAC June 2013 1551-1556 Stabilization of a Class of Switched Linear Neutral Systems Under Asynchronous Switching. Wang, Y.  ...  -2590 Stabilization of a Class of Switched Linear Neutral Systems Under Asynchronous Switching. 2114-2119 Stabilization of a System of Coupled First-Order Hyperbolic Linear PDEs With a Single Boundary  ... 
doi:10.1109/tac.2013.2295962 fatcat:3zpqog4r4nhoxgo4vodx4sj3l4

Finite-Time H ∞ State Estimation for Markovian Jump Neural Networks with Time-Varying Delays via an Extended Wirtinger's Integral Inequality

Saravanan Shanmugam, M. Syed Ali, R. Vadivel, Gyu M. Lee, Xindong Peng
2021 Mathematical Problems in Engineering  
This study investigates the finite-time boundedness for Markovian jump neural networks (MJNNs) with time-varying delays.  ...  The purpose is to obtain less conservative conditions on finite-time H ∞ performance for Markovian jump neural networks with time-varying delay.  ...  quaternion-valued neutral-type delayed neural networks.  ... 
doi:10.1155/2021/5558955 fatcat:bzmupoacw5hkfasskqoh4cffte

Some results of studies on the stability and controlability properties of the switched systems of differential equations

Efren Vazquez Silva, Rosa Isabel Urquiza Salgado, Mark Leonard Gordon, Acacio da Conceicao de Jesus Domingos
2014 Applied Mathematical Sciences  
variable (such an independent variable usually represents time); and nonlinear switched and stochastic switched systems.  ...  The second direction deals with the study of these systems taking into account the more applied techniques to characterize 7066 Efrén Vázquez Silva et al. the stability and controllability thereof.  ...  The present paper has been supported by Vibration Signature Analysis and Design (VSAD), Midrand, Gauteng, South Africa.  ... 
doi:10.12988/ams.2014.48673 fatcat:jovjkv3hzffgvly5am6jhu4rqy

A Comprehensive Review of Stability Analysis of Continuous-Time Recurrent Neural Networks

Huaguang Zhang, Zhanshan Wang, Derong Liu
2014 IEEE Transactions on Neural Networks and Learning Systems  
Since time delay is inevitable in practice, stability results of recurrent neural networks with different classes of time delays are reviewed in detail.  ...  Some necessary and sufficient stability conditions for recurrent neural networks without time delays are also discussed.  ...  Recently, most of the stability results are for recurrent neural networks with delays, such as discrete delays, distributed delays, neutral-type delays, and other types of delays, and many different analysis  ... 
doi:10.1109/tnnls.2014.2317880 fatcat:coaqgxoycbbmbkyqwim5sqdfmi

2020 Index IEEE Transactions on Automatic Control Vol. 65

2020 IEEE Transactions on Automatic Control  
Stability and Stabilization Through Envelopes for Retarded and Neutral Time-Delay Systems.  ...  ., +, TAC Nov. 2020 4509-4524 Stability and Stabilization Through Envelopes for Retarded and Neutral Time-Delay Systems.  ... 
doi:10.1109/tac.2020.3046985 fatcat:hfiqhyr7sffqtewdmcwzsrugva

New delay-interval-dependent stability criteria for switched Hopfield neural networks of neutral type with successive time-varying delay components

R. Manivannan, R. Samidurai, Jinde Cao, Ahmed Alsaedi
2016 Cognitive Neurodynamics  
This paper deals with the problem of delay-interval-dependent stability criteria for switched Hopfield neural networks of neutral type with successive timevarying delay components.  ...  A novel Lyapunov-Krasovskii (L-K) functionals with triple integral terms which involves more information on the state vectors of the neural networks and upper bound of the successive time-varying delays  ...  Acknowledgments The work of first two authors was supported by the Department of Science and Technology-Science and Engineering Research Board (DST-SERB), Government of India, New Delhi, for its financial  ... 
doi:10.1007/s11571-016-9396-y pmid:27891202 pmcid:PMC5106451 fatcat:zrlzpvw5nbgn7ag3vlw37ou3ii

Stochastic Passivity of Uncertain Neural Networks with Time-Varying Delays

Jianting Zhou, Qiankun Song, Jianxi Yang
2009 Abstract and Applied Analysis  
The passivity problem is investigated for a class of stochastic uncertain neural networks with time-varying delay as well as generalized activation functions.  ...  It is noteworthy that the traditional assumptions on the differentiability of the time-varying delays and the boundedness of its derivative are removed.  ...  This work was supported by the National Natural Science Foundation of China under Grants 60974132 and 50608072, and in part by Natural Science Foundation Project of CQ CSTC2008BA6038 and 2008BB2351, and  ... 
doi:10.1155/2009/725846 fatcat:klu2vzcc2fd3nidlb6rfdyz7bq

Distributed cooperative anti-disturbance control of multi-agent systems: an overview

Wenwu Yu, He Wang, Huifen Hong, Guanghui Wen
2017 Science China Information Sciences  
This paper reviews some main results and recent progress in distributed cooperative anti-disturbance control (DCADC) of multi-agent systems.  ...  Compared with anti-disturbance control in single systems, DCADC is more challenging because of the existence of coupling in multi-agent systems and the aim is to design distributed cooperative control  ...  Conflict of interest The authors declare that they have no conflict of interest.  ... 
doi:10.1007/s11432-017-9141-x fatcat:vyd37vqsozbh3cp5f5u4fg22wa
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