New approach to delay-dependent H∞ control for continuous-time Markovian jump systems with time-varying delay and deficient transition descriptions

Journal of the Franklin Institute

Volumn 352, Issue 1, 2015, Pages 189-215

  Qiu, Jianbin ^a,b   Wei, Yanling ^a   Karimi, Hamid Reza ^c  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

^b UNIVERSITY OF DUISBURG ESSEN   (Germany)

^c UNIVERSITY OF AGDER   (Norway)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROLLERS; FEEDBACK; LINEAR MATRIX INEQUALITIES; LINEAR SYSTEMS; MARKOV PROCESSES; RANDOM PROCESSES; STOCHASTIC SYSTEMS; SYSTEM STABILITY; TIME VARYING CONTROL SYSTEMS;

CONTROLLER SYNTHESIS; DELAY DEPENDENT STABILITY ANALYSIS; LYAPUNOV-KRASOVSKII; MARKOV STOCHASTIC PROCESS; MARKOVIAN JUMP LINEAR SYSTEM (MJLSS); MARKOVIAN JUMP SYSTEMS; STABILITY ANALYSIS; TIME-VARYING DELAY;

CONTINUOUS TIME SYSTEMS;

EID: 84919425618     PISSN: 00160032     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jfranklin.2014.10.022     Document Type: Article

References (40)

1. ∞ analysis for time-delay systems with Markovian jumping parameters J. Frankl. Inst. 340 6-7 2003 423 434
2. Y. Shi, and B. Yu Output feedback stabilization of networked control systems with random delays modeled by Markov chains IEEE Trans. Autom. Control 54 7 2009 1668 1674
3. ∞ control of network control systems with random time delays in both forward and backward communication links Automatica 47 4 2011 754 760
4. ∞ guaranteed cost control for uncertain Markovian jump systems with mode-dependent distributed delays and input delays J. Frankl. Inst. 346 10 2009 945 957
5. ∞ fuzzy control design for T-S fuzzy systems with state delays Automatica 44 3 2008 868 874
6. C. Lin, Z. Wang, and F. Yang Observer-based networked control for continuous-time systems with random sensor delays Automatica 45 2 2009 578 584
7. P. Shi, M.S. Mahmoud, S.K. Nguang, and A. Ismail Robust filtering for jumping systems with mode-dependent delays Signal Process. 86 1 2006 140 152
8. ∞ control for singular Markovian jump systems with time delay Optimal Control Appl. Methods 30 5 2008 443 461
9. E.K. Boukas Stochastic Switching Systems: Analysis and Design 2005 Birkhauser Boston
10. ∞ control for nonlinear stochastic systems with Markovian jump parameters and interval time-varying delays J. Optim. Theory Appl. 151 1 2011 100 120
11. ∞ control for uncertain stochastic T-S fuzzy systems with time-varying state and input delays Int. J. Syst. Sci. 42 5 2011 877 887
12. ∞ control for uncertain stochastic time delay systems with Markovian jump parameters and nonlinear disturbances Int. J. Adapt. Control Signal Process. 28 3-5 2014 464 478
13. ∞ filtering for Markovian jump systems with time-varying delays and partly unknown transition probabilities Commun. Nonlinear Sci. Numer. Simul. 17 7 2012 3070 3081
14. ∞ filtering for a class of discrete-time singular Markovian jump systems with time-varying delays ISA Trans. 53 4 2014 1054 1060
15. ∞ filtering for stochastic systems with Markovian switching and partly unknown transition probabilities Circuits Syst. Signal Process. 32 2 2013 559 583
16. L. Zhang, and J. Lam Necessary and sufficient conditions for analysis and synthesis of Markov jump linear systems with incomplete transition descriptions IEEE Trans. Autom. Control 55 7 2010 1695 1701
17. ∞ filtering for singular Markovian jump systems with time delay Int. J. Robust Nonlinear Control 20 8 2010 939 957
18. Y. Zhang, Y. He, M. Wu, and J. Zhang Stabilization for Markovian jump systems with partial information on transition probability based on free-connection weighting matrices Automatica 47 1 2011 79 84
19. L. Sheng, and M. Gao Stabilization for Markovian jump nonlinear systems with partly unknown transition probabilities via fuzzy control Fuzzy Sets Syst. 161 21 2010 2780 2792
20. J. Xiong, J. Lam, H. Gao, and D.W.C. Ho On robust stabilization of Markovian jump systems with uncertain switching probabilities Automatica 41 5 2005 897 903
21. M. Karan, P. Shi, and C.Y. Kaya Transition probability bounds for the stochastic stability robustness of continuous- and discrete-time Markovian jump linear systems Automatica 42 12 2006 2159 2168
22. ∞ control of time-delay systems with Markovian jump parameters Int. J. Robust Nonlinear Control 13 8 2003 755 784
23. K. Benjelloun, and E.K. Boukas Mean square stochastic stability of linear time-delay system with Markovian jumping parameters IEEE Trans. Autom. Control 43 10 1998 1456 1460
24. ∞ filtering for Markovian jump systems with mode-dependent time delays Signal Process. 89 2 2009 187 196
25. Z. Wang, Y. Liu, and X. Liu Exponential stabilization of a class of stochastic system with Markovian jump parameters and mode-dependent mixed time-delays IEEE Trans. Autom. Control 55 7 2010 1656 1662
26. Z. Fei, H. Gao, and P. Shi New results on stabilization of Markovian jump systems with time delay Automatica 45 10 2009 2300 2306
27. ∞ control and filtering for uncertain Markovian jump systems with time-varying delays IEEE Trans. Circuits Syst. I: Regular Papers 54 9 2007 2070 2077
28. ∞ performance analysis and filtering for Markovian jump systems with interval time-varying delays Int. J. Adapt. Control Signal Process. 24 8 2010 633 642
29. ∞ analysis for uncertain Markovian jump systems with time-varying delays J. Frankl. Inst. 347 5 2010 863 874
30. K. Zhou, J.C. Doyle, and K. Glover Robust and Optimal Control 1996 Prentice-Hall Englewood Cliffs, NJ
31. K. Gu, V.L. Kharitonov, and J. Chen Stability of Time-Delay Systems 2003 Springer-Verlag Berlin, Germany
32. K. Gu, Y. Zhang, and S. Xu Small gain problem in coupled differential-difference equations time-varying delays, and direct Lyapunov method Int. J. Robust Nonlinear Control 21 4 2011 429 451
33. X. Li, and H. Gao A new model transformation of discrete-time systems with time-varying delay and its application to stability analysis IEEE Trans. Autom. Control 56 9 2011 2172 2178
34. Z. Li, Z. Fei, and H. Gao Stability and stabilisation of Markovian jump systems with time-varying delay an input-output approach IET Control Theory Appl. 6 17 2012 2601 2610
35. ∞ control of jump linear systems with time-delay Int. J. Control 74 4 2001 329 340
36. T. Coleman, M. Branch, and A. Grace Optimization Toolbox for Use with Matlab 1999 MathWorks, Inc. Natick, MA
37. ∞ static output feedback control of discrete-time piecewise-affine systems with norm-bounded uncertainties Int. J. Robust Nonlinear Control 21 7 2011 790 814
38. H. Wu, and H. Li New approach to delay-dependent stability analysis and stabilization for continuous-time fuzzy systems with time-varying delay IEEE Trans. Fuzzy Syst. 15 3 2007 482 493
39. K.S. Narendra, and S.S. Tripathi Identification and optimization of aircraft dynamics J. Aircr. 10 4 1973 193 199
40. D.P. de Farias, J.C. Geromel, J.B.R. do Val, and O.L.V. Costa Output feedback control of Markov jump linear systems in continuous-time IEEE Trans. Autom. Control 45 5 2000 944 949