Brief paper: new results on stability analysis for neutral stochastic linear system

In this study, the problem for the robustly exponential stability in mean square moment of uncertain neutral stochastic linear system with mixed time-varying delays is considered. By constructing an augmented Lyapunov–Krasovskii functional and utilising a convex polyhedron method, some new delay-dependent exponential stability criteria for such system are established in forms of linear matrix inequalities, which have less conservatism. Finally, three illustrative numerical examples are given to show the effectiveness of the obtained results.

[1]  Jin-Hua She,et al.  New delay-dependent stability criteria and stabilizing method for neutral systems , 2004, IEEE Trans. Autom. Control..

[2]  Zhenwei Liu,et al.  Delay-dependent Stability for Systems with Fast-varying Neutral-type Delays via a PTVD Compensation: Delay-dependent Stability for Systems with Fast-varying Neutral-type Delays via a PTVD Compensation , 2010 .

[3]  W. Zheng,et al.  Robust exponential stability conditions for retarded systems with Lipschitz nonlinear stochastic perturbations , 2010 .

[4]  Guo-Ping Liu,et al.  Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays , 2004, Syst. Control. Lett..

[5]  Magdi S. Mahmoud,et al.  Improved results on robust exponential stability criteria for neutral-type delayed neural networks , 2010, Appl. Math. Comput..

[6]  Shengyuan Xu,et al.  Robust stochastic stabilization and H∞ control of uncertain neutral stochastic time-delay systems☆ , 2006 .

[7]  Shengyuan Xu,et al.  Exponential dynamic output feedback controller design for stochastic neutral systems with distributed delays , 2006, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[8]  Emilia Fridman,et al.  A descriptor system approach to H∞ control of linear time-delay systems , 2002, IEEE Trans. Autom. Control..

[9]  Emilia Fridman,et al.  New Lyapunov-Krasovskii functionals for stability of linear retarded and neutral type systems , 2001, Syst. Control. Lett..

[10]  Qing-Long Han A descriptor system approach to robust stability of uncertain neutral systems with discrete and distributed delays , 2004, Autom..

[11]  Dong Yue,et al.  Delay-Distribution-Dependent Stability and Stabilization of T–S Fuzzy Systems With Probabilistic Interval Delay , 2009, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[12]  Qing-Long Han,et al.  On robust stability of neutral systems with time-varying discrete delay and norm-bounded uncertainty , 2004, Autom..

[13]  Chenghui Zhang,et al.  Delay decomposition approach to delay-dependent stability for singular time-delay systems [Brief Paper] , 2010 .

[14]  Yun Chen,et al.  Delay-Dependent Robust Control for Uncertain Stochastic Time-Delay Systems , 2008 .

[15]  Yi Shen,et al.  Robust H∞ filter design for neutral stochastic uncertain systems with time-varying delay , 2009 .

[16]  Shaosheng Zhou,et al.  On robustly exponential stability of uncertain neutral systems with time-varying delays and nonlinear perturbations , 2008 .

[17]  Rathinasamy Sakthivel,et al.  Robust stability and control for uncertain neutral time delay systems , 2012, Int. J. Control.

[18]  Min Wu,et al.  Improved Global Asymptotical Synchronization of Chaotic Lur'e Systems With Sampled-Data Control , 2009, IEEE Transactions on Circuits and Systems II: Express Briefs.

[19]  Peng Hu,et al.  Novel delay-dependent robust stability criteria for neutral stochastic delayed neural networks , 2010, Neurocomputing.

[20]  Wei Xing Zheng,et al.  A new result on stability analysis for stochastic neutral systems , 2010, Autom..

[21]  Ting Wang,et al.  Delay-Derivative-Dependent Stability for Delayed Neural Networks With Unbound Distributed Delay , 2010, IEEE Transactions on Neural Networks.

[22]  Wei Xing Zheng,et al.  Delay-Dependent Stochastic Stability and $H_{\infty} $-Control of Uncertain Neutral Stochastic Systems With Time Delay , 2009, IEEE Transactions on Automatic Control.

[23]  Xuerong Mao,et al.  Delay-Dependent Exponential Stability of Neutral Stochastic Delay Systems , 2009, IEEE Transactions on Automatic Control.

[24]  Weiwei Su,et al.  Global asymptotic stability analysis for neutral stochastic neural networks with time-varying delays , 2009 .

[25]  Ju H. Park,et al.  ANALYSIS ON GLOBAL STABILITY OF STOCHASTIC NEURAL NETWORKS OF NEUTRAL TYPE , 2008 .

[26]  Jinde Cao,et al.  Stability analysis for stochastic neural networks of neutral type with both Markovian jump parameters and mixed time delays , 2010, Neurocomputing.

[27]  Ju H. Park,et al.  Simplified stability criteria for fuzzy Markovian jumping Hopfield neural networks of neutral type with interval time-varying delays , 2012, Expert Syst. Appl..

[28]  C. Lien,et al.  Stability criteria for uncertain neutral systems with interval time-varying delays , 2008 .

[29]  Wei Xing Zheng,et al.  Delay-dependent robust stabilization for uncertain neutral systems with distributed delays , 2007, Autom..

[30]  Min Wu,et al.  Delay-dependent stability analysis for uncertain neutral systems with time-varying delays , 2007, Math. Comput. Simul..

[31]  Shaosheng Zhou,et al.  Brief Paper: Improved exponential stability criteria and stabilisation of T-S model-based neutral systems , 2010 .

[32]  Yuanqing Xia,et al.  New results on stability and stabilisation of systems with interval time-varying delay , 2011 .

[33]  Xinzhi Liu,et al.  Robust delay-dependent exponential stability for uncertain stochastic neural networks with mixed delays , 2011, Neurocomputing.