Comparison principles and input-to-state stability for stochastic impulsive systems with delays

In this paper, the input-to-state stability (ISS), the pth moment exponential ISS and the stochastic input-to-state stability issues are investigated for the stochastic impulsive systems with time ...

[1]  Yu Kang,et al.  Stochastic input-to-state stability of switched stochastic nonlinear systems , 2012, Autom..

[2]  Derui Ding,et al.  Non-fragile distributed state estimation over sensor networks subject to DoS attacks: the almost sure stability , 2020, Int. J. Syst. Sci..

[3]  Gang Feng,et al.  Reliable dissipative control for stochastic impulsive systems , 2008, Autom..

[4]  Ji Haibo,et al.  Adaptive integrated guidance and control with actuator failures based on backstepping and input-to-state stability , 2014, Proceedings of 2014 IEEE Chinese Guidance, Navigation and Control Conference.

[5]  Chengjie Xu,et al.  Input-to-state-stability-type comparison principles and input-to-state stability for discrete-time dynamical networks with time delays , 2013 .

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

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

[8]  Jun Hu,et al.  Robust adaptive sliding mode control for discrete singular systems with randomly occurring mixed time-delays under uncertain occurrence probabilities , 2020, Int. J. Syst. Sci..

[9]  Junlin Xiong,et al.  Stability and stabilization of switched stochastic systems under asynchronous switching , 2016, Systems & control letters (Print).

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

[11]  Junlin Xiong,et al.  Exponential stability of stochastic impulsive switched delayed systems based on vector Lyapunov functions , 2017, 2017 11th Asian Control Conference (ASCC).

[12]  Carlos Silvestre,et al.  Stability of networked control systems with asynchronous renewal links: An impulsive systems approach , 2013, Autom..

[13]  Iasson Karafyllis,et al.  A Vector Lyapunov Function Characterization of Input-to-State Stability with Application to Robust Global Stabilization of the Chemostat , 2008, Eur. J. Control.

[14]  Peichen Wang,et al.  Stochastic asymptotical stability for stochastic impulsive differential equations and it is application to chaos synchronization , 2012 .

[15]  Yu Kang,et al.  On input-to-state stability of stochastic nonlinear systems with Markovian jumping parameters , 2012, Int. J. Control.

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

[17]  Eduardo Sontag.  Input to State Stability: Basic Concepts and Results , 2008 .

[18]  Stability in distribution and optimal control in an impulsive toxin input bioeconomic system with stochastic fluctuations and time delays , 2019, 2019 Chinese Control And Decision Conference (CCDC).

[19]  Hanen Damak,et al.  Input-to-state stability and integral input-to-state stability of non-autonomous infinite-dimensional systems , 2021, Int. J. Syst. Sci..

[20]  Zhong-Ping Jiang,et al.  Nonlinear small-gain theorems for discrete-time feedback systems and applications , 2004, Autom..

[21]  P. Olver.  Nonlinear Systems , 2013 .

[22]  Jinling Liang,et al.  Stabilization of piecewise-homogeneous Markovian switching CVNNs with mode-dependent delays and incomplete transition rates , 2020 .

[23]  Zhiguo Luo,et al.  Global existence results for impulsive functional differential equations , 2006 .

[24]  A. Teel.  Connections between Razumikhin-type theorems and the ISS nonlinear small gain theorem , 1998, IEEE Trans. Autom. Control..

[25]  Eduardo Sontag,et al.  New characterizations of input-to-state stability , 1996, IEEE Trans. Autom. Control..

[26]  Zhihong Li,et al.  Mean-square exponential input-to-state stability of delayed Cohen-Grossberg neural networks with Markovian switching based on vector Lyapunov functions , 2016, Neural Networks.

[27]  Jiaowan Luo,et al.  Comparison principle and stability of Ito stochastic differential delay equations with Poisson jump and Markovian switching , 2006 .

[28]  Zhong-Ping Jiang,et al.  Decentralized output-feedback control of large-scale nonlinear systems with sensor noise , 2012, Autom..

[29]  Bao Shi,et al.  Input‐to‐state stability for discrete‐time nonlinear impulsive systems with delays , 2013 .

[30]  Jun Hu,et al.  A survey on sliding mode control for networked control systems , 2021, Int. J. Syst. Sci..

[31]  Eduardo D. Sontag,et al.  Input to State Stability , 2019, Encyclopedia of Systems and Control.

[32]  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.

[33]  Hao Shen,et al.  On input-to-state stability of impulsive stochastic systems , 2014, J. Frankl. Inst..

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

[35]  Björn Rüffer,et al.  Integral input-to-state stability of interconnected iISS systems by means of a lower-dimensional comparison system , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[36]  Lei Liu,et al.  New Criteria on Exponential Stability for Stochastic Delay Differential Systems Based on Vector Lyapunov Function , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[37]  Wei Chen,et al.  New result on the mean-square exponential input-to-state stability of stochastic delayed recurrent neural networks , 2018 .

[38]  Debasish Chatterjee,et al.  Stability analysis of deterministic and stochastic switched systems via a comparison principle and multiple Lyapunov functions , 2006, SIAM J. Control. Optim..

[39]  Soumya Kundu,et al.  A multiple-comparison-systems method for distributed stability analysis of large-scale nonlinear systems , 2016, Autom..

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

[41]  Zhong-Ping Jiang,et al.  Output Feedback Stabilization and Estimation of the Region of Attraction for Nonlinear Systems: A Vector Control Lyapunov Function Perspective , 2016, IEEE Transactions on Automatic Control.

[42]  Jessica Fuerst,et al.  Stochastic Differential Equations And Applications , 2016 .

[43]  Rongwei Guo,et al.  Input-to-state stability for discrete-time stochastic nonlinear systems , 2015, 2015 34th Chinese Control Conference (CCC).

[44]  Yutaka Yamamoto,et al.  Stabilization of Switched Linear Systems With Quantized Output and Switching Delays , 2017, IEEE Transactions on Automatic Control.

[45]  David J. Hill,et al.  Uniform stability and ISS of discrete-time impulsive hybrid systems , 2010 .