Improved integral inequality approach on stabilization for continuous-time systems with time-varying input delay

This study is concerned with the issue of output delay-dependent stabilization criteria for continuous-time systems with time-varying input delays. By introducing an augment Lyapunov-Krasovskii functional and a new integral inequality, a new reduced conservative condition is obtained in terms of linear matrix inequalities (LMIs). At last, numerical examples are also designated to demonstrate the effectiveness and reduced conservatism of the developed results.

[1]  Renquan Lu,et al.  A simple approach to robust D‐stability analysis for uncertain singular delay systems , 2009 .

[2]  Peng Shi,et al.  A novel approach on stabilization for linear systems with time-varying input delay , 2012, Appl. Math. Comput..

[3]  Yong He,et al.  Delay-dependent criteria for robust stability of time-varying delay systems , 2004, Autom..

[4]  Hieu Minh Trinh,et al.  Exponential Convergence of Time-Delay Systems in the Presence of Bounded Disturbances , 2013, J. Optim. Theory Appl..

[5]  Guang-Ren Duan,et al.  Stabilization of some linear systems with both state and input delays , 2012, Syst. Control. Lett..

[6]  PooGyeon Park,et al.  Reciprocally convex approach to stability of systems with time-varying delays , 2011, Autom..

[7]  Ting Shi.  Finite-time control of linear systems under time-varying sampling , 2015, Neurocomputing.

[8]  Jun Cheng,et al.  Finite-time boundedness of state estimation for neural networks with time-varying delays , 2014, Neurocomputing.

[9]  JIANQUAN LU,et al.  Synchronization in an Array of Nonlinearly Coupled Chaotic Neural Networks with Delay Coupling , 2008, Int. J. Bifurc. Chaos.

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

[11]  Shengyuan Xu,et al.  Fuzzy H ∞ filtering for nonlinear Markovian jump neutral systems , 2011, Int. J. Syst. Sci..

[12]  Pin-Lin Liu.  State feedback stabilization of time-varying delay uncertain systems: A delay decomposition approach , 2013 .

[13]  Ju H. Park,et al.  New and improved results on stability of static neural networks with interval time-varying delays , 2014, Appl. Math. Comput..

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

[15]  Jian-Ning Li,et al.  Mean-square exponential stability for stochastic discrete-time recurrent neural networks with mixed time delays , 2015, Neurocomputing.

[16]  Bing Chen,et al.  Delay-dependent stability analysis and controller synthesis for Markovian jump systems with state and input delays , 2009, Inf. Sci..

[17]  Guang-Ren Duan,et al.  Linear quadratic regulation for linear time-varying systems with multiple input delays part II: continuous-time case , 2006, 2005 International Conference on Control and Automation.

[18]  James Lam,et al.  Stabilization for state/input delay systems via static and integral output feedback , 2010, Autom..

[19]  Alexandre Seuret,et al.  Jensen's and Wirtinger's Inequalities for Time-Delay Systems , 2013, TDS.

[20]  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.

[21]  Guang-Ren Duan,et al.  Truncated predictor feedback for linear systems with long time-varying input delays , 2012, Autom..

[22]  Ya-Jun Pan,et al.  Mean-Square Exponential Stability and Stabilisation of Stochastic Singular Systems with Multiple Time-Varying Delays , 2014, Circuits, Systems, and Signal Processing.

[23]  Jiuwen Cao.  Improved Delay-Dependent Stability Conditions for MIMO Networked Control Systems with Nonlinear Perturbations , 2014, TheScientificWorldJournal.

[24]  M. Parlakçi.  Robust stability of uncertain time-varying state-delayed systems , 2006 .

[25]  Dan Zhang,et al.  Nonfragile Distributed Filtering for T–S Fuzzy Systems in Sensor Networks , 2015, IEEE Transactions on Fuzzy Systems.

[26]  Renquan Lu,et al.  H∞ filtering for singular systems with communication delays , 2010, Signal Process..

[27]  Fei Liu,et al.  Optimal finite-time passive controller design for uncertain nonlinear Markovian jumping systems , 2014, J. Frankl. Inst..

[28]  Frédéric Gouaisbaut,et al.  Wirtinger-based integral inequality: Application to time-delay systems , 2013, Autom..

[29]  Jianjun Bai,et al.  New delay-dependent robust stability criteria for uncertain neutral systems with mixed delays , 2014, J. Frankl. Inst..

[30]  Shengyuan Xu,et al.  Passivity-based control for uncertain stochastic jumping systems with mode-dependent round-trip time delays , 2012, J. Frankl. Inst..

[31]  P. T. Nam,et al.  Convergence within a polyhedron: controller design for time-delay systems with bounded disturbances , 2015 .

[32]  Yong He,et al.  Delay-dependent stabilization of linear systems with time-varying state and input delays , 2005, Autom..

[33]  Peng Shi,et al.  Robust filtering for jumping systems with mode-dependent delays , 2006, Signal Process..

[34]  Ju H. Park,et al.  Exponential synchronization criteria for Markovian jumping neural networks with time-varying delays and sampled-data control , 2014 .

[35]  Hui Li,et al.  Quantized H∞ Filtering for Singular Time-varying Delay Systems with Unreliable Communication Channel , 2012, Circuits Syst. Signal Process..

[36]  Jun Cheng,et al.  Stochastic finite-time boundedness for Markovian jumping neural networks with time-varying delays , 2014, Appl. Math. Comput..

[37]  Kun Liu,et al.  New conditions for delay-derivative-dependent stability , 2009, Autom..