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Volumn 124, Issue 1, 2005, Pages 227-245

Randomized algorithms for robust stability and guaranteed cost control of stochastic jump parameter systems with uncertain switching policies

Author keywords

Guaranteed cost control; Markovian jump parameter systems; Matrix inequalities; Randomized algorithms; Robust control

Indexed keywords

CONTROL SYSTEM STABILITY; COST EFFECTIVENESS; PARAMETER ESTIMATION; ROBUST CONTROL; STOCHASTIC CONTROL SYSTEMS; STOCHASTIC SYSTEMS; UNCERTAINTY ANALYSIS;

EID: 13844275692     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10957-004-6474-9     Document Type: Article
Times cited : (18)

References (19)
  • 1
    • 0002256901 scopus 로고
    • Random Differential Equations in Control Theory
    • Edited by A. T. Bharucha-Reid, Academic Press, New York, NY
    • WONHAM, W. M., Random Differential Equations in Control Theory; Probabilistic Methods in Applied Mathematics, Edited by A. T. Bharucha-Reid, Academic Press, New York, NY, Vol. 2, pp. 131-212, 1970.
    • (1970) Probabilistic Methods in Applied Mathematics , vol.2 , pp. 131-212
    • Wonham, W.M.1
  • 3
    • 0032205380 scopus 로고    scopus 로고
    • Stochastic Stability and Guaranteed Cost Control of Discrete-Time Uncertain Systems with Markovian Jumping Parameters
    • BOUKAS, E. K., and SHI, P., Stochastic Stability and Guaranteed Cost Control of Discrete-Time Uncertain Systems with Markovian Jumping Parameters, International Journal of Robust and Nonlinear Control, Vol. 8, pp. 1155-1167, 1998.
    • (1998) International Journal of Robust and Nonlinear Control , vol.8 , pp. 1155-1167
    • Boukas, E.K.1    Shi, P.2
  • 5
    • 0002394672 scopus 로고
    • ∞ Control of Markovian Jump Systems and Solutions to Associated Piecewise-Deterministic Differential Games
    • Edited by G. J. Olsder, Birkhauser, Boston, Massachusetts
    • ∞ Control of Markovian Jump Systems and Solutions to Associated Piecewise-Deterministic Differential Games, New Trends in Dynamic Games and Applications, Edited by G. J. Olsder, Birkhauser, Boston, Massachusetts, pp. 61-92, 1995.
    • (1995) New Trends in Dynamic Games and Applications , pp. 61-92
    • Pan, Z.1    Basar, T.2
  • 7
    • 0032680079 scopus 로고    scopus 로고
    • On Stabilization of Uncertain Linear Systems with Jump Parameters
    • BOUKAS, E. K., SHI, P., and BENJELLOUN, K., On Stabilization of Uncertain Linear Systems with Jump Parameters, International Journal of Control, Vol. 72, pp. 842-850, 1999.
    • (1999) International Journal of Control , vol.72 , pp. 842-850
    • Boukas, E.K.1    Shi, P.2    Benjelloun, K.3
  • 8
    • 0036576781 scopus 로고    scopus 로고
    • On Avoiding Vertexization of Robustness Problems: The Approximate Feasibility Concept
    • BARMISH, B. R., and SHCHERBAKOV, P. S., On Avoiding Vertexization of Robustness Problems: The Approximate Feasibility Concept, IEEE Transactions on Automatic Control, Vol. 47, pp. 819-824, 2002.
    • (2002) IEEE Transactions on Automatic Control , vol.47 , pp. 819-824
    • Barmish, B.R.1    Shcherbakov, P.S.2
  • 9
    • 0034916989 scopus 로고    scopus 로고
    • Probabilistic Robust Design with Linear Quadratic Regulators
    • POLYAK, B. T., and TEMPO, R., Probabilistic Robust Design with Linear Quadratic Regulators, Systems and Control Letters, Vol. 43, pp. 343-353. 2001.
    • (2001) Systems and Control Letters , vol.43 , pp. 343-353
    • Polyak, B.T.1    Tempo, R.2
  • 10
    • 0035508269 scopus 로고    scopus 로고
    • Stochastic Algorithms for Exact and Approximate Feasibility of Robust LMIs
    • CALAFIORE, G., and POLYAK, B. T., Stochastic Algorithms for Exact and Approximate Feasibility of Robust LMIs, IEEE Transactions on Automatic Control, Vol. 46, pp. 1755-1759, 2001.
    • (2001) IEEE Transactions on Automatic Control , vol.46 , pp. 1755-1759
    • Calafiore, G.1    Polyak, B.T.2
  • 11
    • 0038729656 scopus 로고    scopus 로고
    • The Ellipsoid Algorithm for Probabilistic Robust Controller Design
    • KANEV, S., DE SCHUTTER, B., and VERHAEGEN, M., The Ellipsoid Algorithm for Probabilistic Robust Controller Design, Systems and Control Letters, Vol. 49, pp. 365-375, 2003.
    • (2003) Systems and Control Letters , vol.49 , pp. 365-375
    • Kanev, S.1    De Schutter, B.2    Verhaegen, M.3
  • 12
    • 0035709264 scopus 로고    scopus 로고
    • Randomized Algorithms to Solve ParameterDependent Linear Matrix Inequalities and Their Computational Complexity
    • Orlando, Florida
    • OISHI, Y., and KIMURA, H., Randomized Algorithms to Solve ParameterDependent Linear Matrix Inequalities and Their Computational Complexity, Proceedings of the 40th IEEE Conference on Decision and Control, Orlando, Florida, pp. 2025-2030, 2001.
    • (2001) Proceedings of the 40th IEEE Conference on Decision and Control , pp. 2025-2030
    • Oishi, Y.1    Kimura, H.2
  • 13
    • 3042551158 scopus 로고    scopus 로고
    • Common Lyapunov Functions and Gradient Algorithms
    • LIBERZON, D., and TEMPO, R., Common Lyapunov Functions and Gradient Algorithms, IEEE Transactions on Automatic Control, Vol. 49, pp. 990-994, 2004.
    • (2004) IEEE Transactions on Automatic Control , vol.49 , pp. 990-994
    • Liberzon, D.1    Tempo, R.2
  • 16
    • 0025464943 scopus 로고
    • Controllability, Stabilizability, and Continuous-Time Markovian Jump Linear-Quadratic Control
    • JI, Y., and CHIZECK, H. J., Controllability, Stabilizability, and Continuous-Time Markovian Jump Linear-Quadratic Control, IEEE Transactions on Automatic Control. Vol. 35, pp. 777-788, 1990.
    • (1990) IEEE Transactions on Automatic Control , vol.35 , pp. 777-788
    • Ji, Y.1    Chizeck, H.J.2
  • 17
    • 0001978653 scopus 로고    scopus 로고
    • Radial and Uniform Distributions in Vector and Matrix Spaces for Probabilistic Robustness
    • Edited by D. Miller and L. Qiu, Springer Verlag, London, England
    • CALAFIORE, G., DABBENE, F., and TEMPO, R., Radial and Uniform Distributions in Vector and Matrix Spaces for Probabilistic Robustness, Topics in Control and Its Applications, Edited by D. Miller and L. Qiu, Springer Verlag, London, England, pp. 17-31, 1999.
    • (1999) Topics in Control and Its Applications , pp. 17-31
    • Calafiore, G.1    Dabbene, F.2    Tempo, R.3
  • 18
    • 0034472726 scopus 로고    scopus 로고
    • Randomized Algorithms for Probabilistic Robustness with Real and Complex Structured Uncertainty
    • CALAFIORE, G., DABBENE, F., and TEMPO, R., Randomized Algorithms for Probabilistic Robustness with Real and Complex Structured Uncertainty, IEEE Transactions on Automatic Control, Vol. 45, pp. 2218-2235, 2001.
    • (2001) IEEE Transactions on Automatic Control , vol.45 , pp. 2218-2235
    • Calafiore, G.1    Dabbene, F.2    Tempo, R.3
  • 19
    • 0022012321 scopus 로고
    • Probabilistic Mechanism for Small Disturbance Instabilities in Electric Power Systems
    • LOPARO, K. A., and BLANKENSHIP, G. L., A Probabilistic Mechanism for Small Disturbance Instabilities in Electric Power Systems, IEEE Transactions on Circuits and Systems, Vol. 32, pp. 177-184, 1985.
    • (1985) IEEE Transactions on Circuits and Systems , vol.32 , pp. 177-184
    • Loparo, K.A.1    Blankenship, G.L.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.