Further Results on Dissipativity Criterion for Markovian Jump Discrete-Time Neural Networks with Two Delay Components Via Discrete Wirtinger Inequality Approach
作者: S. RamasamyG. NagamaniT. Radhika
作者单位: 1Gandhigram Rural Institute - Deemed University
刊名: Neural Processing Letters, 2017, Vol.45 (3), pp.939-965
来源数据库: Springer Nature Journal
DOI: 10.1007/s11063-016-9559-1
关键词: Additive delay componentsDissipativityLyapunov–Krasovskii functionalLinear matrix inequalityNeural networks
英文摘要: This paper is concerned with strict \((\mathcal {Q}, \mathcal {S}, \mathcal {R})-\gamma \) - dissipativity and passivity analysis for discrete-time Markovian jump neural networks involving both leakage and discrete delays expressed in terms of two additive time-varying delay components. The discretized Wirtinger inequality is utilized to bound the forward difference of finite-sum term in the Lyapunov functional. By constructing a suitable Lyapunov–Krasovskii functional, sufficient conditions are derived to guarantee the dissipativity and passivity criteria of the proposed neural networks. These conditions are presented in terms of linear matrix inequalities (LMIs), which can be efficiently solved via LMI MATLAB Toolbox. Finally, numerical examples are given to illustrate the effectiveness...
原始语种摘要: This paper is concerned with strict \((\mathcal {Q}, \mathcal {S}, \mathcal {R})-\gamma \) - dissipativity and passivity analysis for discrete-time Markovian jump neural networks involving both leakage and discrete delays expressed in terms of two additive time-varying delay components. The discretized Wirtinger inequality is utilized to bound the forward difference of finite-sum term in the Lyapunov functional. By constructing a suitable Lyapunov–Krasovskii functional, sufficient conditions are derived to guarantee the dissipativity and passivity criteria of the proposed neural networks. These conditions are presented in terms of linear matrix inequalities (LMIs), which can be efficiently solved via LMI MATLAB Toolbox. Finally, numerical examples are given to illustrate the effectiveness...
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影响因子:1.24 (2012)

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关键词翻译
关键词翻译
  • Markovian 马尔可夫链的
  • passivity 钝态
  • delay 延时
  • dissipativity 耗散度
  • inequality 不等式
  • varying 变化的
  • components 零部件
  • functional 功能的
  • effectiveness 有效性
  • guarantee 担保