A new unified input‐to‐state stability criterion for impulsive stochastic delay systems with Markovian switching

[1]  Corentin Briat,et al.  Linear Parameter-Varying and Time-Delay Systems , 2015 .

[2]  Liu Tingting,et al.  NEW STABILITY CRITERIA FOR A CLASS OF MARKOVIAN JUMPING GENETIC REGULATORY NETWORKS WITH TIME-VARYING DELAYS , 2017 .

[3]  Jinde Cao,et al.  Stability Analysis of Markovian Jump Stochastic BAM Neural Networks With Impulse Control and Mixed Time Delays , 2012, IEEE Transactions on Neural Networks and Learning Systems.

[4]  Sundarapandian Vaidyanathan,et al.  Analysis , Adaptive Control and Adaptive Synchronization of a Nine - Term Novel 3 - D Chaotic System with Four Quadratic Nonlinearities and its Circuit Simulation , 2015 .

[5]  Yan Gao,et al.  Mode and Delay-Dependent Adaptive Exponential Synchronization in $p$th Moment for Stochastic Delayed Neural Networks With Markovian Switching , 2012, IEEE Transactions on Neural Networks and Learning Systems.

[6]  João Pedro Hespanha,et al.  Lyapunov conditions for input-to-state stability of impulsive systems , 2008, Autom..

[7]  Yuanqing Xia,et al.  On designing of sliding-mode control for stochastic jump systems , 2006, IEEE Transactions on Automatic Control.

[8]  Huijun Gao,et al.  Leader-following consensus of a class of stochastic delayed multi-agent systems with partial mixed impulses , 2015, Autom..

[9]  Wei Xing Zheng,et al.  Stability analysis and control for switched stochastic delayed systems , 2016 .

[10]  Wei Xing Zheng,et al.  Input-to-state stability and integral input-to-state stability of nonlinear impulsive systems with delays , 2009, Autom..

[11]  Gabor C. Temes,et al.  Design-oriented estimation of thermal noise in switched-capacitor circuits , 2005, IEEE Transactions on Circuits and Systems I: Regular Papers.

[12]  Daniel W. C. Ho,et al.  Stability of Takagi–Sugeno Fuzzy Delay Systems With Impulse , 2007, IEEE Transactions on Fuzzy Systems.

[13]  Quanxin Zhu,et al.  pth Moment exponential stability of impulsive stochastic functional differential equations with Markovian switching , 2014, J. Frankl. Inst..

[14]  Wu-Hua Chen,et al.  Robust H∞ control of uncertain linear impulsive stochastic systems , 2008 .

[15]  Quanxin Zhu,et al.  Stabilization of stochastic functional differential systems with delayed impulses , 2019, Appl. Math. Comput..

[16]  Xinzhi Liu,et al.  Input-to-state stability of impulsive and switching hybrid systems with time-delay , 2011, Autom..

[17]  Quanxin Zhu,et al.  Stability analysis of semi-Markov switched stochastic systems , 2018, Autom..

[18]  Zhong-Ping Jiang,et al.  Necessary and Sufficient Small Gain Conditions for Integral Input-to-State Stable Systems: A Lyapunov Perspective , 2009, IEEE Transactions on Automatic Control.

[19]  Bin Zhou,et al.  On asymptotic stability of linear time-varying systems , 2016, Autom..

[20]  X. Mao,et al.  Robust stability of uncertain stochastic differential delay equations , 1998 .

[21]  Shengyuan Xu,et al.  Robust H∞ control for uncertain stochastic systems with state delay , 2002, IEEE Trans. Autom. Control..

[22]  Bin Jiang,et al.  Adaptive Neural Control of Uncertain Nonlinear Systems Using Disturbance Observer , 2017, IEEE Transactions on Cybernetics.

[23]  Xuerong Mao,et al.  Stochastic Differential Equations With Markovian Switching , 2006 .

[24]  Feiqi Deng,et al.  Razumikhin-type theorems on stability of stochastic retarded systems , 2009, Int. J. Syst. Sci..

[25]  Bin Liu,et al.  Stability of Solutions for Stochastic Impulsive Systems via Comparison Approach , 2008, IEEE Transactions on Automatic Control.

[26]  Feiqi Deng,et al.  Stability of Hybrid Stochastic Retarded Systems , 2008, IEEE Transactions on Circuits and Systems I: Regular Papers.

[27]  Yun Zhang,et al.  Razumikhin-Type Theorems on $p$th Moment Exponential Stability of Impulsive Stochastic Delay Differential Equations , 2010, IEEE Transactions on Automatic Control.

[28]  Wei Liu,et al.  Stabilization of hybrid stochastic differential equations by feedback control based on discrete-time state observations , 2014, Syst. Control. Lett..

[29]  P. Shi,et al.  Exponential Stability for Neutral Stochastic Markov Systems With Time-Varying Delay and Its Applications , 2016, IEEE Transactions on Cybernetics.

[30]  Andrew R. Teel,et al.  Stability analysis for stochastic hybrid systems: A survey , 2014, Autom..

[31]  Junlin Xiong,et al.  Lyapunov Conditions for Stability of Stochastic Impulsive Switched Systems , 2018, IEEE Transactions on Circuits and Systems I: Regular Papers.

[32]  A. Rodkina,et al.  On delay-dependent stability for a class of nonlinear stochastic systems with multiple state delays , 2008 .

[33]  Jinde Cao,et al.  A unified synchronization criterion for impulsive dynamical networks , 2010, Autom..

[34]  Liangjian Hu,et al.  Robust Stability and Boundedness of Nonlinear Hybrid Stochastic Differential Delay Equations , 2013, IEEE Transactions on Automatic Control.

[35]  R TeelAndrew,et al.  Stability analysis for stochastic hybrid systems , 2014 .

[36]  Jinde Cao,et al.  Synchronization Control for Nonlinear Stochastic Dynamical Networks: Pinning Impulsive Strategy , 2012, IEEE Transactions on Neural Networks and Learning Systems.

[37]  Chaohong Cai,et al.  Robust Input-to-State Stability for Hybrid Systems , 2013, SIAM J. Control. Optim..

[38]  Jinde Cao,et al.  Stability Analysis for Continuous-Time Switched Systems With Stochastic Switching Signals , 2018, IEEE Transactions on Automatic Control.

[39]  Yang Tang,et al.  Input-to-state stability of impulsive stochastic delayed systems under linear assumptions , 2016, Autom..

[40]  SERGEY DASHKOVSKIY,et al.  Input-to-State Stability of Nonlinear Impulsive Systems , 2012, SIAM J. Control. Optim..

[41]  Gang Tao,et al.  Adaptive Fault-Tolerant Control of Uncertain Nonlinear Large-Scale Systems With Unknown Dead Zone , 2016, IEEE Transactions on Cybernetics.

[42]  Quanxin Zhu,et al.  Razumikhin-type theorem for stochastic functional differential equations with Lévy noise and Markov switching , 2017, Int. J. Control.

[43]  Wei Wang,et al.  Integral input-to-state stability for hybrid delayed systems with unstable continuous dynamics , 2012, Autom..

[44]  Quanxin Zhu,et al.  Stability analysis of stochastic delay differential equations with Lévy noise , 2018, Syst. Control. Lett..

[45]  Bing Li,et al.  Moment estimate and existence for solutions of stochastic functional differential equations , 2014 .

[46]  Jinde Cao,et al.  Stochastic Synchronization of Complex Networks With Nonidentical Nodes Via Hybrid Adaptive and Impulsive Control , 2012, IEEE Transactions on Circuits and Systems I: Regular Papers.

[47]  Feiqi Deng,et al.  New Criteria on $p$th Moment Input-to-State Stability of Impulsive Stochastic Delayed Differential Systems , 2017, IEEE Transactions on Automatic Control.

[48]  Jitao Sun,et al.  On hybrid control of a class of stochastic non-linear Markovian switching systems , 2008, Autom..

[49]  Yuanqing Xia,et al.  Adaptive Backstepping Controller Design for Stochastic Jump Systems , 2009, IEEE Transactions on Automatic Control.

[50]  Liangjian Hu,et al.  Delay dependent stability of highly nonlinear hybrid stochastic systems , 2017, Autom..

[51]  Yong He,et al.  Improved Razumikhin-Type Theorem for Input-To-State Stability of Nonlinear Time-Delay Systems , 2014, IEEE Transactions on Automatic Control.

[52]  Chen Juan,et al.  INPUT-TO-STATE CONVERGENCE OF NETWORKS WITH DISTRIBUTED DELAYS ON TIME SCALES , 2017 .

[53]  Yang Tao,et al.  Impulsive stabilization for control and synchronization of chaotic systems: theory and application to secure communication , 1997 .

[54]  Eduardo Sontag.  Comments on integral variants of ISS , 1998 .

[55]  Yun Zhang,et al.  A unified Razumikhin-type criterion on input-to-state stability of time-varying impulsive delayed systems , 2018, Syst. Control. Lett..

[56]  Eduardo Sontag.  Smooth stabilization implies coprime factorization , 1989, IEEE Transactions on Automatic Control.

[57]  Quanxin Zhu,et al.  Input‐to‐state stability for non‐linear switched stochastic delayed systems with asynchronous switching , 2019, IET Control Theory & Applications.

[58]  Bin Zhou,et al.  Improved Razumikhin and Krasovskii stability criteria for time-varying stochastic time-delay systems , 2016, Autom..

[59]  Quanxin Zhu,et al.  Stability analysis of Markov switched stochastic differential equations with both stable and unstable subsystems , 2017, Syst. Control. Lett..

[60]  Junlin Xiong,et al.  Vector-Lyapunov-Function-Based Input-to-State Stability of Stochastic Impulsive Switched Time-Delay Systems , 2019, IEEE Transactions on Automatic Control.

[61]  Wenbing Zhang,et al.  Input‐to‐state stability of nonlinear stochastic time‐varying systems with impulsive effects , 2017 .