Finite-time boundedness analysis for a new multi-layer switched system with time-delay

In this paper, the finite-time boundedness problem of a multi-layer switched system subject to average dwell time switching signal, Markov jump and time-varying polytopic uncertainties is investigated. The sufficient conditions guaranteed the conclusion are shown in the form of linear matrix inequalities to ease the formulation, and the switched Lyapunov-Krasovskii approach is used in detail proofs. At last, an illustrative example is employed to demonstrate the efficiency of the main result.

[1]  Huijun Gao,et al.  Asynchronously switched control of switched linear systems with average dwell time , 2010, Autom..

[2]  Jinde Cao,et al.  A Novel Finite-Time Stability Criterion for Linear Discrete-Time Stochastic System with Applications to Consensus of Multi-Agent System , 2015, Circuits Syst. Signal Process..

[3]  Feng Jun.  Finite-time Control of Linear Singular Systems with Parametric Uncertainties and Disturbances , 2005 .

[4]  Fei Liu,et al.  Stochastic finite-time boundedness of Markovian jumping neural network with uncertain transition probabilities , 2011 .

[5]  Sophie Tarbouriech,et al.  Finite-Time Stabilization of Linear Time-Varying Continuous Systems , 2009, IEEE Transactions on Automatic Control.

[6]  Zhigang Zeng,et al.  Robust Passivity and Passification for a Class of Singularly Perturbed Nonlinear Systems with Time-Varying Delays and Polytopic Uncertainties via Neural Networks , 2013, Circuits Syst. Signal Process..

[7]  S. Zhong,et al.  Finite-time filtering for switched linear systems with a mode-dependent average dwell time , 2015 .

[8]  Shouming Zhong,et al.  Finite-time H∞ control for a class of discrete-time Markovian jump systems with partly unknown time-varying transition probabilities subject to average dwell time switching , 2015, Int. J. Syst. Sci..

[9]  P. Dorato,et al.  Finite time stability under perturbing forces and on product spaces , 1967, IEEE Transactions on Automatic Control.

[10]  Hamid Reza Karimi,et al.  Finite-time boundedness for uncertain discrete neural networks with time-delays and Markovian jumps , 2014, Neurocomputing.

[11]  A. Morse,et al.  Stability of switched systems with average dwell-time , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[12]  Ming Zeng,et al.  Extended finite-time H∞ control for uncertain switched linear neutral systems with time-varying delays , 2015, Neurocomputing.

[13]  Lixian Zhang,et al.  Stability and stabilization of Markovian jump linear systems with partly unknown transition probabilities , 2009, Autom..

[14]  Dan Zhang,et al.  Estimator Design for Discrete-Time Switched Neural Networks With Asynchronous Switching and Time-Varying Delay , 2012, IEEE Transactions on Neural Networks and Learning Systems.

[15]  Jian Xiao,et al.  Parameter-dependent finite-time observer design for time-varying polytopic uncertain switched systems , 2014, J. Frankl. Inst..

[16]  Hong Zhu,et al.  Finite-time H∞ estimation for discrete-time Markov jump systems with time-varying transition probabilities subject to average dwell time switching , 2015, Commun. Nonlinear Sci. Numer. Simul..

[17]  Francesco Amato,et al.  Finite-time control of linear systems subject to parametric uncertainties and disturbances , 2001, Autom..

[18]  Pagavathigounder Balasubramaniam,et al.  Stochastic Stability Analysis for Switched Genetic Regulatory Networks with Interval Time-Varying Delays Based on Average Dwell Time Approach , 2014 .

[19]  Yun Zou,et al.  Finite-time boundedness and finite-time l2 gain analysis of discrete-time switched linear systems with average dwell time , 2013, J. Frankl. Inst..

[20]  G. Zhai,et al.  Quadratic stabilizability of switched linear systems with polytopic uncertainties , 2003 .

[21]  Alexandre Trofino,et al.  Mode-Independent ${\cal H}_{\infty}$ Filters for Markovian Jump Linear Systems , 2006, IEEE Transactions on Automatic Control.

[22]  A. Morse.  Supervisory control of families of linear set-point controllers Part I. Exact matching , 1996, IEEE Trans. Autom. Control..

[23]  James Lam,et al.  New approach to mixed H/sub 2//H/sub /spl infin// filtering for polytopic discrete-time systems , 2005, IEEE Transactions on Signal Processing.

[24]  Tsung-Chih Lin,et al.  ROBUST ADAPTIVE FUZZY SLIDING MODE CONTROL FOR A CLASS OF UNCERTAIN DISCRETE-TIME NONLINEAR SYSTEMS , 2012 .

[25]  Peng Shi,et al.  Asynchronous I2-I∞ filtering for discrete-time stochastic Markov jump systems with randomly occurred sensor nonlinearities , 2014, Autom..

[26]  Y. ORLOV,et al.  Finite Time Stability and Robust Control Synthesis of Uncertain Switched Systems , 2004, SIAM J. Control. Optim..

[27]  Gang Feng,et al.  Finite-time stabilization by state feedback control for a class of time-varying nonlinear systems , 2012, Autom..

[28]  Hamid Reza Karimi,et al.  Fault detection for discrete-time Markov jump linear systems with partially known transition probabilities , 2010, Int. J. Control.

[29]  Guo-Ping Liu,et al.  Parameter-dependent Lyapunov functional for stability of time-delay systems with polytopic-type uncertainties , 2004, IEEE Transactions on Automatic Control.

[30]  Dan Zhang,et al.  Exponential state estimation for Markovian jumping neural networks with time-varying discrete and distributed delays , 2012, Neural Networks.

[31]  P. Dorato.  SHORT-TIME STABILITY IN LINEAR TIME-VARYING SYSTEMS , 1961 .

[32]  Qing Lu,et al.  Robust finite-time state estimation of uncertain neural networks with Markovian jump parameters , 2015, Neurocomputing.

[33]  James Lam,et al.  Improved results on H∞ model reduction for Markovian jump systems with partly known transition probabilities , 2014, Syst. Control. Lett..

[34]  Shihua Li,et al.  Finite-time stability and stabilization of switched linear systems , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[35]  Jing Wang,et al.  Memory feedback controller design for stochastic Markov jump distributed delay systems with input saturation and partially known transition rates , 2015 .

[36]  Peng Shi,et al.  Stochastic finite-time state estimation for discrete time-delay neural networks with Markovian jumps , 2015, Neurocomputing.

[37]  Francesco Amato,et al.  Finite-time control of discrete-time linear systems , 2005, IEEE Transactions on Automatic Control.

[38]  Fei Liu,et al.  Finite-time boundedness of uncertain time-delayed neural network with Markovian jumping parameters , 2013, Neurocomputing.