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Volumn 46, Issue 6, 2015, Pages 1080-1093

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

Author keywords

average dwell time; H control; H finite time stability; Markov jump systems; time varying transition probabilities

Indexed keywords

LYAPUNOV FUNCTIONS; MARKOV PROCESSES; MULTIVARIABLE CONTROL SYSTEMS; SWITCHING; TIME VARYING CONTROL SYSTEMS;

EID: 84918772798     PISSN: 00207721     EISSN: 14645319     Source Type: Journal    
DOI: 10.1080/00207721.2013.808716     Document Type: Article
Times cited : (53)

References (38)
  • 1
    • 20344397953 scopus 로고    scopus 로고
    • Finite-Time control of discrete-Time linear systems
    • Amato, F., and Ariola, M. (2005). Finite-Time Control of Discrete-Time Linear Systems. IEEE Transactions on Automatic Control, 50(5), 724-729.
    • (2005) IEEE Transactions on Automatic Control , vol.50 , Issue.5 , pp. 724-729
    • Amato, F.1    Ariola, M.2
  • 2
    • 77950626955 scopus 로고    scopus 로고
    • Finite-Time control of discrete-Time linear systems: Analysis and design conditions
    • Amato, F., Ariola, M., and Cosentino, C. (2010). Finite-Time Control of Discrete-Time Linear Systems: Analysis and Design Conditions. Automatica, 46, 919-924.
    • (2010) Automatica , vol.46 , pp. 919-924
    • Amato, F.1    Ariola, M.2    Cosentino, C.3
  • 3
    • 0035452456 scopus 로고    scopus 로고
    • Finite-Time control of linear systems subject to parametric uncertainties and disturbances
    • Amato, F., Ariola, M., and Dorato, P. (2001). Finite-Time Control of Linear Systems Subject to Parametric Uncertainties and Disturbances. Automatica, 37(9), 1459-1463.
    • (2001) Automatica , vol.37 , Issue.9 , pp. 1459-1463
    • Amato, F.1    Ariola, M.2    Dorato, P.3
  • 4
    • 0000761428 scopus 로고    scopus 로고
    • Finite-Time stability of continuous autonomous systems
    • Bhat, S., and Bernstein, D. (2000). Finite-Time Stability of Continuous Autonomous Systems. SIAM Journal on Control and Optimization, 38(3), 751-766.
    • (2000) SIAM Journal on Control and Optimization , vol.38 , Issue.3 , pp. 751-766
    • Bhat, S.1    Bernstein, D.2
  • 5
    • 84861723475 scopus 로고    scopus 로고
    • H control of a class of discrete-Time markov jump linear systems with piecewise-constant tps subject to average dwell timeswitching
    • Chen, L., Leng, Y., Guo, H., Shi, P., and Zhang, L. (2012). H Control of a Class of Discrete-Time Markov Jump Linear Systems With Piecewise-Constant TPs Subject to Average Dwell TimesWitching. Journal of the Franklin Institute, 349, 1989-2003.
    • (2012) Journal of the Franklin Institute , vol.349 , pp. 1989-2003
    • Chen, L.1    Leng, Y.2    Guo, H.3    Shi, P.4    Zhang, L.5
  • 6
    • 79251613915 scopus 로고    scopus 로고
    • Output feedback control for stochastic markovian jumping systems via sliding mode design
    • Chen, B., Niu, Y., and Huang, H. (2011). Output Feedback Control for Stochastic Markovian Jumping Systems Via Sliding Mode Design. Optimal Control Applications and Methods, 32, 83-94.
    • (2011) Optimal Control Applications and Methods , vol.32 , pp. 83-94
    • Chen, B.1    Niu, Y.2    Huang, H.3
  • 7
    • 84952252413 scopus 로고
    • Business-cycle phases and their transitional dynamics
    • Filardo, A. (1994). Business-Cycle Phases and Their Transitional Dynamics. Journal of Business and Economic Statistics, 12(3), 299-308.
    • (1994) Journal of Business and Economic Statistics , vol.12 , Issue.3 , pp. 299-308
    • Filardo, A.1
  • 8
    • 78651313705 scopus 로고    scopus 로고
    • Further results on exponential estimates of markovian jump systems with mode-dependent time-varying delays
    • Gao, H., Fei, Z., Lam, J., and Du, B. (2011). Further Results on Exponential Estimates of Markovian Jump Systems With Mode-Dependent Time-Varying Delays. IEEE Transactions on Automatic Control, 56(6), 223-229.
    • (2011) IEEE Transactions on Automatic Control , vol.56 , Issue.6 , pp. 223-229
    • Gao, H.1    Fei, Z.2    Lam, J.3    Du, B.4
  • 9
    • 77958589171 scopus 로고    scopus 로고
    • Stabilisation of descriptormarkovian jump systemswith partially unknown transition probabilities
    • Gao, M., Sheng, L., and Cui, B. (2010). Stabilisation of DescriptorMarkovian Jump SystemsWith Partially Unknown Transition Probabilities. International Journal of Systems Science, 41(12), 1525-1536.
    • (2010) International Journal of Systems Science , vol.41 , Issue.12 , pp. 1525-1536
    • Gao, M.1    Sheng, L.2    Cui, B.3
  • 10
    • 0037162403 scopus 로고    scopus 로고
    • Finite-Time stabilization and stability of a class of controllable systems
    • Hong, Y. (2002). Finite-Time Stabilization and Stability of a Class of Controllable Systems. Systems and Control Letters, 48(4), 231-236.
    • (2002) Systems and Control Letters , vol.48 , Issue.4 , pp. 231-236
    • Hong, Y.1
  • 11
    • 84862793995 scopus 로고    scopus 로고
    • H filtering for networked systems with partly known distribution transmission delays
    • Hu, S., Yue, D., and Liu, J. (2012). H Filtering for Networked Systems With Partly Known Distribution Transmission Delays. Information Sciences, 194, 270-282.
    • (2012) Information Sciences , vol.194 , pp. 270-282
    • Hu, S.1    Yue, D.2    Liu, J.3
  • 12
    • 14844340820 scopus 로고    scopus 로고
    • Global finite-Time stabilization of a class of uncertain nonlinear systems
    • Huang, X., Lin, W., and Yang, B. (2005). Global Finite-Time Stabilization of a Class of Uncertain Nonlinear Systems. Automatica, 41(5), 881-888.
    • (2005) Automatica , vol.41 , Issue.5 , pp. 881-888
    • Huang, X.1    Lin, W.2    Yang, B.3
  • 13
    • 0001682716 scopus 로고
    • Analysis and design of controllers in systems with random attributes
    • Krasovskii, N., and Lidskii, E. (1961). Analysis and Design of Controllers in Systems With Random Attributes. Automatic Remote Control, 22, 1021-1025.
    • (1961) Automatic Remote Control , vol.22 , pp. 1021-1025
    • Krasovskii, N.1    Lidskii, E.2
  • 14
    • 79551634062 scopus 로고    scopus 로고
    • Finite-Time boundedness and l2-gain analysis for switched delay systems with norm-bounded disturbance
    • Lin, X., Du, H., and Li, S. (2011). Finite-Time Boundedness and L2-gain Analysis for Switched Delay Systems With Norm-Bounded Disturbance. Applied Mathematics and Computation, 217(12), 982-993.
    • (2011) Applied Mathematics and Computation , vol.217 , Issue.12 , pp. 982-993
    • Lin, X.1    Du, H.2    Li, S.3
  • 15
    • 77956169825 scopus 로고    scopus 로고
    • Delay-dependent h fltering for discrete-Time singular markovian jump systems with time-varying delay and partially unknown transition probabilities
    • Lin, J., Fei, S., and Shen, J. (2011). Delay-Dependent H Fltering for Discrete-Time Singular Markovian Jump Systems With Time-Varying Delay and Partially Unknown Transition Probabilities. Signal Processing, 91, 277-289.
    • (2011) Signal Processing , vol.91 , pp. 277-289
    • Lin, J.1    Fei, S.2    Shen, J.3
  • 16
    • 77955187550 scopus 로고    scopus 로고
    • Finite-Time filtering for non-linear stochastic systems with partially known transition jump rates
    • Luan, X., Liu, F., and Shi, P. (2010). Finite-Time Filtering for Non-Linear Stochastic Systems With Partially Known Transition Jump Rates. IET Control Theory and Applications, 4(5), 735-745.
    • (2010) IET Control Theory and Applications , vol.4 , Issue.5 , pp. 735-745
    • Luan, X.1    Liu, F.2    Shi, P.3
  • 17
    • 73649124180 scopus 로고    scopus 로고
    • Switched controller design for stabilization of nonlinear hybrid systems with time-varying delays in state and control
    • Phat, V. (2010). Switched Controller Design for Stabilization of Nonlinear Hybrid Systems With Time-Varying Delays in State and Control. Journal of the Franklin Institute, 347(1), 195-207.
    • (2010) Journal of the Franklin Institute , vol.347 , Issue.1 , pp. 195-207
    • Phat, V.1
  • 18
    • 21344459434 scopus 로고    scopus 로고
    • Global finite-Time stabilization by output feedback for planar systemswithout observable linearization
    • Qian, C., and Li, J. (2005). Global Finite-Time Stabilization by Output Feedback for Planar SystemsWithout Observable Linearization. IEEE Transactions on Automatic Control, 50(6), 549-564.
    • (2005) IEEE Transactions on Automatic Control , vol.50 , Issue.6 , pp. 549-564
    • Qian, C.1    Li, J.2
  • 19
    • 84870588089 scopus 로고    scopus 로고
    • Robust stability of markovian jump discrete-Time neural networks with partly unknown transition probabilities and mixed mode-dependent delays
    • Sheng, L., and Gao, M. (2013). Robust Stability of Markovian Jump Discrete-Time Neural Networks With Partly Unknown Transition Probabilities and MixedMode-Dependent Delays. International Journal of Systems, 44(2), 252-264.
    • (2013) International Journal of Systems , vol.44 , Issue.2 , pp. 252-264
    • Sheng, L.1    Gao, M.2
  • 20
    • 33748924329 scopus 로고    scopus 로고
    • Robust stabilization of markovian delay systems with delay-dependent exponential estimates
    • Shu, Z., Lam, J., and Xu, S. (2006). Robust Stabilization of Markovian Delay Systems With Delay-Dependent Exponential Estimates. Automatica, 46, 2001-2008.
    • (2006) Automatica , vol.46 , pp. 2001-2008
    • Shu, Z.1    Lam, J.2    Xu, S.3
  • 21
    • 77953120033 scopus 로고    scopus 로고
    • US external debt sustain ability revisited: Bayesian analysis of extended markov switching unit root test
    • Takeuchi, F. (2010). US External Debt Sustain Ability Revisited: Bayesian Analysis of Extended Markov Switching Unit Root Test. Japan and the World Economy, 22(2), 98-106.
    • (2010) Japan and the World Economy , vol.22 , Issue.2 , pp. 98-106
    • Takeuchi, F.1
  • 22
    • 84867689596 scopus 로고    scopus 로고
    • Stochastic stability analysis for discrete-Time singular markov jump systems with time-varying delay and piecewise-constant transition probabilities
    • Wu, Z., Park, J., Su, H., and Chu, J. (2012). Stochastic Stability Analysis for Discrete-Time Singular Markov Jump Systems With Time-Varying Delay and Piecewise-Constant Transition Probabilities. Journal of the Franklin Institute, 349, 2889-2902.
    • (2012) Journal of the Franklin Institute , vol.349 , pp. 2889-2902
    • Wu, Z.1    Park, J.2    Su, H.3    Chu, J.4
  • 23
    • 77952548411 scopus 로고    scopus 로고
    • State estimation for discrete markovian jumping neural networkswithtime delay
    • Wu, Z., Su, H., and Chu, J. (2010). State Estimation for Discrete Markovian Jumping Neural NetworksWithTime Delay. Neurocomputing, 73(10-12), 2247-2254.
    • (2010) Neurocomputing , vol.73 , Issue.10-12 , pp. 2247-2254
    • Wu, Z.1    Su, H.2    Chu, J.3
  • 25
    • 84868329926 scopus 로고    scopus 로고
    • H filtering for short-Time switched discrete-Time linear systems
    • Xiang, W., Xiao, J., and Iqbal, M. (2012). H Filtering for Short-Time Switched Discrete-Time Linear Systems. Circuits, Systems and Signal Processing, 31(6), 1927-1949.
    • (2012) Circuits, Systems and Signal Processing , vol.31 , Issue.6 , pp. 1927-1949
    • Xiang, W.1    Xiao, J.2    Iqbal, M.3
  • 26
    • 77956272498 scopus 로고    scopus 로고
    • Finite-Time stability and stabilization ofmarkovian switching stochastic systems with impulsive effects
    • Yang, Y., Li, J., and Chen, G. (2010). Finite-Time Stability and Stabilization ofMarkovian Switching Stochastic Systems With Impulsive Effects. Journal of Systems Engineering and Electronics, 21(2), 2254-2260.
    • (2010) Journal of Systems Engineering and Electronics , vol.21 , Issue.2 , pp. 2254-2260
    • Yang, Y.1    Li, J.2    Chen, G.3
  • 27
    • 70349884339 scopus 로고    scopus 로고
    • H estimation for piecewise homogeneous markov jump linear systems
    • Zhang, L. (2009). H Estimation for Piecewise Homogeneous Markov Jump Linear Systems. Automatica, 45(11), 2570-2576.
    • (2009) Automatica , vol.45 , Issue.11 , pp. 2570-2576
    • Zhang, L.1
  • 28
    • 67649207216 scopus 로고    scopus 로고
    • H control for discrete-Time markovian jump linear systemswith partly unknown transition probabilities
    • Zhang, L., and Boukas, E. (2009). H Control for Discrete-Time Markovian Jump Linear SystemsWith Partly Unknown Transition Probabilities. International Journal of Robust and Nonlinear Control, 19, 868-883.
    • (2009) International Journal of Robust and Nonlinear Control , vol.19 , pp. 868-883
    • Zhang, L.1    Boukas, E.2
  • 29
    • 67349252784 scopus 로고    scopus 로고
    • Mode-dendent h filtering for discrete-Time markovian jump linear systems with partly unknown transition probabilities
    • Zhang, L., and Boukas, E. (2009). Mode-Dendent H Filtering for Discrete-Time Markovian Jump Linear Systems With Partly Unknown Transition Probabilities. Automatica, 45, 1462-1467.
    • (2009) Automatica , vol.45 , pp. 1462-1467
    • Zhang, L.1    Boukas, E.2
  • 30
    • 58349098590 scopus 로고    scopus 로고
    • Stability and stabilization of markovian jump linear systems with partly unknown transition probabilities
    • Zhang, L., and Boukas, E. (2009). Stability and Stabilization of Markovian Jump Linear Systems With Partly Unknown Transition Probabilities. Automatica, 45, 463-468.
    • (2009) Automatica , vol.45 , pp. 463-468
    • Zhang, L.1    Boukas, E.2
  • 31
    • 47749117942 scopus 로고    scopus 로고
    • Exponential h filtering for uncertain discrete-Time switched linear systems with average dwell time: A dependent approach
    • Zhang, L., Boukas, E., and Shi, P. (2008). Exponential H Filtering for Uncertain Discrete-Time Switched Linear Systems With Average Dwell Time: A Dependent Approach. International Journal of Robust and Nonlinear Control, 18(11), 1188-1207.
    • (2008) International Journal of Robust and Nonlinear Control , vol.18 , Issue.11 , pp. 1188-1207
    • Zhang, L.1    Boukas, E.2    Shi, P.3
  • 32
    • 77649292084 scopus 로고    scopus 로고
    • Stability of a class of switched linear systems with uncertainties and average dwell time switching
    • Zhang, L., and Jiang, B. (2010). Stability of a Class of Switched Linear Systems With Uncertainties and Average Dwell Time Switching. International Journal Innovative Computing, Information and Control, 6(2), 667-676.
    • (2010) International Journal Innovative Computing, Information and Control , vol.6 , Issue.2 , pp. 667-676
    • Zhang, L.1    Jiang, B.2
  • 33
    • 84862784611 scopus 로고    scopus 로고
    • Robust finite-Time stabilization of uncertain singular markovian jump systems
    • Zhang, Y., Liu, C., and Mu, X. (2012). Robust Finite-Time Stabilization of Uncertain Singular Markovian Jump Systems. Applied Mathematical Modelling, 36, 5109-5121.
    • (2012) Applied Mathematical Modelling , vol.36 , pp. 5109-5121
    • Zhang, Y.1    Liu, C.2    Mu, X.3
  • 34
    • 65549095164 scopus 로고    scopus 로고
    • Discrete-Time fuzzy markovian jump systems with time-varying delays
    • Zhang, Y., Xu, S., and Zhang, B. (2009). Discrete-Time Fuzzy Markovian Jump Systems With Time-Varying Delays. IEEE Transactions on Fuzzy Systems, 17, 411-420.
    • (2009) IEEE Transactions on Fuzzy Systems , vol.17 , pp. 411-420
    • Zhang, Y.1    Xu, S.2    Zhang, B.3
  • 35
    • 84904395863 scopus 로고    scopus 로고
    • SlidingMode control for markov jump linear uncertain systems with partly unknown transition rates
    • doi: 10.1080/00207721.2012.760668
    • Zheng, B., andYang, G. (2013). SlidingMode Control for Markov Jump Linear Uncertain Systems With Partly Unknown Transition Rates. International Journal of Systems Science, doi: 10.1080/00207721.2012.760668.
    • (2013) International Journal of Systems Science
    • Zheng, B.1    Yang, G.2
  • 36
    • 77955510720 scopus 로고    scopus 로고
    • Robust exponential stability of markovian jump impulsive stochastic cohen-grossberg neural networks with mixed time delays
    • Zhu, Q., and Cao, J. (2010). Robust Exponential Stability of Markovian Jump Impulsive Stochastic Cohen-Grossberg Neural Networks With Mixed Time Delays. IEEE Transactions on Neural Networks, 21, 1314-1325.
    • (2010) IEEE Transactions on Neural Networks , vol.21 , pp. 1314-1325
    • Zhu, Q.1    Cao, J.2
  • 37
    • 84868331055 scopus 로고    scopus 로고
    • On finite-Time stochastic stability and stabilization of markovian jump systems subject to partial information on transition probabilities
    • Zuo, Z., Li, H., Liu, Y., and Wang, Y. (2012). On Finite-Time Stochastic Stability and Stabilization of Markovian Jump Systems Subject to Partial Information on Transition Probabilities. Circuits Syst Signal Process, 31(6), 1973-1983.
    • (2012) Circuits Syst Signal Process , vol.31 , Issue.6 , pp. 1973-1983
    • Zuo, Z.1    Li, H.2    Liu, Y.3    Wang, Y.4
  • 38
    • 84870288735 scopus 로고    scopus 로고
    • Finite-Time stochastic stability and stabilisation of linear discrete-Time markovian jump systems with partly unknown transition probabilities
    • Zuo, Z., Liu, Y., Wang, Y., and Li, H. (2012). Finite-Time Stochastic Stability and Stabilisation of Linear Discrete-Time Markovian Jump Systems With Partly Unknown Transition Probabilities. IET Control Theory and Applications, 6(10), 1522-1526.
    • (2012) IET Control Theory and Applications , vol.6 , Issue.10 , pp. 1522-1526
    • Zuo, Z.1    Liu, Y.2    Wang, Y.3    Li, H.4


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