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Volumn 218, Issue 9, 2012, Pages 5629-5640

Robust finite-time H ∞ control of singular stochastic systems via static output feedback

Author keywords

Linear matrix inequalities; Parametric uncertainties; Singular stochastic finite time boundedness; Singular stochastic finite time stabilization; Singular stochastic systems; Static output feedback

Indexed keywords

CLOSED-LOOP; FINITE TIME STABILIZATION; FINITE-TIME BOUNDEDNESS; FIXED PARAMETERS; ILLUSTRATIVE EXAMPLES; LINEAR MATRIX EQUALITY; PARAMETRIC UNCERTAINTIES; STATIC OUTPUT FEEDBACK; SUFFICIENT CONDITIONS; TIME VARYING;

EID: 83555165153     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2011.11.057     Document Type: Article
Times cited : (127)

References (45)
  • 1
    • 0004050029 scopus 로고
    • Lectures notes in control and information sciences
    • Springer New York
    • L. Dai Lectures notes in control and information sciences Singular Control Systems vol. 118 1989 Springer New York
    • (1989) Singular Control Systems , vol.118 VOL.
    • Dai, L.1
  • 4
    • 63849315569 scopus 로고    scopus 로고
    • Delay-dependent robust stabilization of uncertain singular systems with state delay
    • Z. Wu, and W. Zhou Delay-dependent robust stabilization of uncertain singular systems with state delay ICIC Express Letters 1 2 2007 169 176
    • (2007) ICIC Express Letters , vol.1 , Issue.2 , pp. 169-176
    • Wu, Z.1    Zhou, W.2
  • 5
    • 39549108678 scopus 로고    scopus 로고
    • New bounded real lemma for discrete-time singular systems
    • G. Zhang, Y. Xia, and P. Shi New bounded real lemma for discrete-time singular systems Automatica 44 3 2008 886 890
    • (2008) Automatica , vol.44 , Issue.3 , pp. 886-890
    • Zhang, G.1    Xia, Y.2    Shi, P.3
  • 6
    • 0031108713 scopus 로고    scopus 로고
    • ∞ control for descriptor systems: A matrix inequalities approach
    • ∞ control for descriptor systems: a matrix inequalities approach Automatica 3 4 1997 669 673
    • (1997) Automatica , vol.3 , Issue.4 , pp. 669-673
    • Masubuchi, I.1    Kamime, Y.2    Ohara, A.3    Suda, N.4
  • 7
    • 26444527425 scopus 로고    scopus 로고
    • 2 state-feedback control for continuous-time descriptor systems with parameter uncertainties
    • 2 state-feedback control for continuous-time descriptor systems with parameter uncertainties Circuits, Systems and Signal Processing 24 4 2005 431 443
    • (2005) Circuits, Systems and Signal Processing , vol.24 , Issue.4 , pp. 431-443
    • Xia, Y.1    Shi, P.2    Liu, G.3    Rees, D.4
  • 9
  • 10
    • 28244499344 scopus 로고    scopus 로고
    • Stabilization of stochastic singular nonlinear hybrid systems
    • E.K. Boukas Stabilization of stochastic singular nonlinear hybrid systems Nonlinear Analysis 64 2 2006 217 228
    • (2006) Nonlinear Analysis , vol.64 , Issue.2 , pp. 217-228
    • Boukas, E.K.1
  • 11
    • 67349244709 scopus 로고    scopus 로고
    • Stability and stabilization of continuous singular hybrid systems
    • Y. Xia, E.K. Boukas, P. Shi, and J. Zhang Stability and stabilization of continuous singular hybrid systems Automatica 45 6 2009 1504 1509
    • (2009) Automatica , vol.45 , Issue.6 , pp. 1504-1509
    • Xia, Y.1    Boukas, E.K.2    Shi, P.3    Zhang, J.4
  • 12
    • 0003182919 scopus 로고    scopus 로고
    • Stability of stochastic differential equations with Markovian switching
    • X.R. Mao Stability of stochastic differential equations with Markovian switching Stochastic Processes and their Applications 79 1999 45 67
    • (1999) Stochastic Processes and Their Applications , vol.79 , pp. 45-67
    • Mao, X.R.1
  • 13
    • 33646934047 scopus 로고    scopus 로고
    • Robust stability and stabilization of uncertain discrete-time Markovian jump linear systems
    • C.E. Souza Robust stability and stabilization of uncertain discrete-time Markovian jump linear systems IEEE Transactions on Automatic Control 51 5 2006 836 841
    • (2006) IEEE Transactions on Automatic Control , vol.51 , Issue.5 , pp. 836-841
    • Souza, C.E.1
  • 14
    • 31344474160 scopus 로고    scopus 로고
    • On designing of sliding mode control for stochastic jump systems
    • P. Shi, Y. Xia, G. Liu, and D. Rees On designing of sliding mode control for stochastic jump systems IEEE Transactions on Automatic Control 51 1 2006 97 103
    • (2006) IEEE Transactions on Automatic Control , vol.51 , Issue.1 , pp. 97-103
    • Shi, P.1    Xia, Y.2    Liu, G.3    Rees, D.4
  • 15
    • 77952166462 scopus 로고    scopus 로고
    • State estimation and sliding mode control of Markovian jump singular systems
    • L. Wu, P. Shi, and H. Gao State estimation and sliding mode control of Markovian jump singular systems IEEE Transactions on Automatic Control 55 5 2010 1213 1219
    • (2010) IEEE Transactions on Automatic Control , vol.55 , Issue.5 , pp. 1213-1219
    • Wu, L.1    Shi, P.2    Gao, H.3
  • 16
    • 0033345091 scopus 로고    scopus 로고
    • Control of Markovian jump discrete-time systems with norm bounded uncertainty and unknown delay
    • P. Shi, E.K. Boukas, and R.K. Agarwal Control of Markovian jump discrete-time systems with norm bounded uncertainty and unknown delay IEEE Transactions on Automatic Control 44 11 1999 2139 2144
    • (1999) IEEE Transactions on Automatic Control , vol.44 , Issue.11 , pp. 2139-2144
    • Shi, P.1    Boukas, E.K.2    Agarwal, R.K.3
  • 17
    • 24344487926 scopus 로고    scopus 로고
    • On robust stability of singular systems with random abrupt changes
    • E.K. Boukas On robust stability of singular systems with random abrupt changes Nonlinear Analysis 63 3 2005 301 310
    • (2005) Nonlinear Analysis , vol.63 , Issue.3 , pp. 301-310
    • Boukas, E.K.1
  • 18
    • 79960042355 scopus 로고    scopus 로고
    • Robust stochastic stabilization and H-infinity control for neutral stochastic systems with distributed delays
    • J. Qiu, H. He, and P. Shi Robust stochastic stabilization and H-infinity control for neutral stochastic systems with distributed delays Circuits Systems, and Signal Processing 30 2 2011 287 301
    • (2011) Circuits Systems, and Signal Processing , vol.30 , Issue.2 , pp. 287-301
    • Qiu, J.1    He, H.2    Shi, P.3
  • 19
    • 77953651134 scopus 로고    scopus 로고
    • Robustness and reliability of decentralized stochastic singularly-perturbed computer controlled systems with multiple time-varying delays
    • K.C. Yao, and F.Q. Cai Robustness and reliability of decentralized stochastic singularly-perturbed computer controlled systems with multiple time-varying delays ICIC Express Letters 3 3A 2009 379 384
    • (2009) ICIC Express Letters , vol.3 , Issue.A3 , pp. 379-384
    • Yao, K.C.1    Cai, F.Q.2
  • 20
    • 0038293070 scopus 로고    scopus 로고
    • ∞ filtering for uncertain Markovian jump systems with mode-dependent time delays
    • ∞ filtering for uncertain Markovian jump systems with mode-dependent time delays IEEE Transactions on Automatic Control 48 5 2003 900 907
    • (2003) IEEE Transactions on Automatic Control , vol.48 , Issue.5 , pp. 900-907
    • Xu, S.1    Chen, T.2    Lam, J.3
  • 22
    • 79960139447 scopus 로고    scopus 로고
    • Dissipativity of diffusion itô processes with markovain switching and problems of robust stabilization
    • P.V. Pakshin Dissipativity of diffusion itô processes with markovain switching and problems of robust stabilization Automation and Remote Control 68 2007 1502 1518
    • (2007) Automation and Remote Control , vol.68 , pp. 1502-1518
    • Pakshin, P.V.1
  • 24
    • 0032205380 scopus 로고    scopus 로고
    • Stochastic stability and guaranteed cost control of discrete-time uncertain systems with Markovian jumping parameters
    • E.K. Boukas, and P. Shi Stochastic stability and guaranteed cost control of discrete-time uncertain systems with Markovian jumping parameters International Journal of Robust Nonlinear Control 8 1998 1155 1167
    • (1998) International Journal of Robust Nonlinear Control , vol.8 , pp. 1155-1167
    • Boukas, E.K.1    Shi, P.2
  • 25
    • 79953061579 scopus 로고    scopus 로고
    • Gain scheduled PI tracking control on stochastic nonlinear systems with partially known transition probabilities
    • Y. Yin, P. Shi, and F. Liu Gain scheduled PI tracking control on stochastic nonlinear systems with partially known transition probabilities Journal of Franklin Institute 348 4 2011 685 702
    • (2011) Journal of Franklin Institute , vol.348 , Issue.4 , pp. 685-702
    • Yin, Y.1    Shi, P.2    Liu, F.3
  • 26
    • 0035452456 scopus 로고    scopus 로고
    • Finite-time control of linear systems subject to parametric uncertainties and disturbances
    • F. Amato, M. Ariola, and P. Dorato Finite-time control of linear systems subject to parametric uncertainties and disturbances Automatica 37 2001 1459 1463
    • (2001) Automatica , vol.37 , pp. 1459-1463
    • Amato, F.1    Ariola, M.2    Dorato, P.3
  • 27
    • 0043192304 scopus 로고    scopus 로고
    • Optimal control of non-homogenous prey-predator models during infinite and finite-time intervals
    • A. EI-Gohary, and A.S. AI-Ruzaiza Optimal control of non-homogenous prey-predator models during infinite and finite-time intervals Applied Mathematics Computation 146 2003 495 508
    • (2003) Applied Mathematics Computation , vol.146 , pp. 495-508
    • Ei-Gohary, A.1    Ai-Ruzaiza, A.S.2
  • 28
    • 0037420941 scopus 로고    scopus 로고
    • Optimal control of an angular motion of a rigid body during infinite and finite-time intervals
    • A. EI-Gohary Optimal control of an angular motion of a rigid body during infinite and finite-time intervals Applied Mathematics Computation 141 2003 541 551
    • (2003) Applied Mathematics Computation , vol.141 , pp. 541-551
    • Ei-Gohary, A.1
  • 29
    • 14244269055 scopus 로고
    • Finite-time stochastic stability and the analysis of trackng systems
    • H.J. Kushner Finite-time stochastic stability and the analysis of trackng systems IEEE Transactions on Automatic Control 11 1966 219 227
    • (1966) IEEE Transactions on Automatic Control , vol.11 , pp. 219-227
    • Kushner, H.J.1
  • 30
    • 0001965541 scopus 로고
    • Finite time stability under perturbing forces and on product spaces
    • L. Weiss, and E.F. Infante Finite time stability under perturbing forces and on product spaces IEEE Transactions on Automatic Control 12 1967 54 59
    • (1967) IEEE Transactions on Automatic Control , vol.12 , pp. 54-59
    • Weiss, L.1    Infante, E.F.2
  • 31
    • 29244452125 scopus 로고    scopus 로고
    • Finite-time stabilzation via dynamic output feedback
    • F. Amato, M. Ariola, and P. Dorato Finite-time stabilzation via dynamic output feedback Automatica 42 2006 337 342
    • (2006) Automatica , vol.42 , pp. 337-342
    • Amato, F.1    Ariola, M.2    Dorato, P.3
  • 34
    • 63349101030 scopus 로고    scopus 로고
    • Finite-time stability and stabilization of nonlinear stochastic hybrid systems
    • Y. Yang, J.M. Li, and G.P. Chen Finite-time stability and stabilization of nonlinear stochastic hybrid systems Journal of Mathematic Analysis and Application 356 3 2009 338 345
    • (2009) Journal of Mathematic Analysis and Application , vol.356 , Issue.3 , pp. 338-345
    • Yang, Y.1    Li, J.M.2    Chen, G.P.3
  • 37
    • 65049088106 scopus 로고    scopus 로고
    • Finite-time stability of linear time-varying systems with jumps
    • F. Amato, R. Ambrosinob, M. Ariola, and C. Cosentino Finite-time stability of linear time-varying systems with jumps Automatica 45 2009 1354 1358
    • (2009) Automatica , vol.45 , pp. 1354-1358
    • Amato, F.1    Ambrosinob, R.2    Ariola, M.3    Cosentino, C.4
  • 39
    • 77953910302 scopus 로고    scopus 로고
    • Finite-time tracking control of bank-to-turn missiles using terminal sliding mode
    • Z. Wang, S. Li, and S. Fei Finite-time tracking control of bank-to-turn missiles using terminal sliding mode ICIC Express Letters 3 4B 2009 1373 1380
    • (2009) ICIC Express Letters , vol.3 , Issue.B4 , pp. 1373-1380
    • Wang, Z.1    Li, S.2    Fei, S.3
  • 40
    • 77950626955 scopus 로고    scopus 로고
    • Finite-time control of discrete-time linear systems: Analysis and design conditions
    • F. Amato, M. Ariola, and C. Cosentino Finite-time control of discrete-time linear systems: Analysis and design conditions Automatica 46 2010 919 924
    • (2010) Automatica , vol.46 , pp. 919-924
    • Amato, F.1    Ariola, M.2    Cosentino, C.3
  • 42
    • 79951957345 scopus 로고    scopus 로고
    • Stochastic finite-time boundedness of Markovian jumping neural network with uncertain transition probabilities
    • S. He, and F. Liu Stochastic finite-time boundedness of Markovian jumping neural network with uncertain transition probabilities Applied Mathematical Modelling 35 2011 2631 2638
    • (2011) Applied Mathematical Modelling , vol.35 , pp. 2631-2638
    • He, S.1    Liu, F.2
  • 43
    • 0042711046 scopus 로고    scopus 로고
    • ∞ output feedback control of singular systems with time delay
    • ∞ output feedback control of singular systems with time delay Control Theory and Applications 20 2003 323 328
    • (2003) Control Theory and Applications , vol.20 , pp. 323-328
    • Xia, Y.1    Jia, Y.2
  • 44
    • 27844468655 scopus 로고    scopus 로고
    • Static output feedback control for stochastic hybrid systems: LMI approach
    • E.K. Boukas Static output feedback control for stochastic hybrid systems: LMI approach Automatic 42 1 2006 183 188
    • (2006) Automatic , vol.42 , Issue.1 , pp. 183-188
    • Boukas, E.K.1


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