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Volumn 99, Issue 2, 1998, Pages 359-379

Necessary and Sufficient Condition for Robust Stability and Stabilizability of Continuous-Time Linear Systems with Markovian Jumps

Author keywords

Continuous time linear systems; Linear systems with Markovian jumps; Parameter uncertainties; Riccati equation

Indexed keywords

CONTINUOUS TIME SYSTEMS; MARKOV PROCESSES; RICCATI EQUATIONS; SYSTEM STABILITY;

EID: 0345777616     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021722210476     Document Type: Article
Times cited : (45)

References (23)
  • 2
    • 0023310712 scopus 로고
    • A Stabilization Algorithm for a Class of Uncertain Linear Systems
    • PETERSEN, I. R., A Stabilization Algorithm for a Class of Uncertain Linear Systems, System and Control Letters, Vol. 8, No. 4, pp. 351-357, 1987.
    • (1987) System and Control Letters , vol.8 , Issue.4 , pp. 351-357
    • Petersen, I.R.1
  • 3
    • 0028497130 scopus 로고
    • Optimal Guaranteed Cost and Filtering for Uncertain Linear Systems
    • PETERSEN, I. R., and MCFARLANE, D. C., Optimal Guaranteed Cost and Filtering for Uncertain Linear Systems, IEEE Transactions on Automatic Control, Vol. 39, No. 9, pp. 1971-1977, 1994.
    • (1994) IEEE Transactions on Automatic Control , vol.39 , Issue.9 , pp. 1971-1977
    • Petersen, I.R.1    McFarlane, D.C.2
  • 4
    • 0029327727 scopus 로고
    • Robust Production and Maintenance Planning in Stochastic Manufacturing Systems
    • BOUKAS, E. K., ZHANG, Q., and YIN, G., Robust Production and Maintenance Planning in Stochastic Manufacturing Systems, IEEE Transactions on Automatic Control, Vol. 40, No. 6, 1098-1102, 1995.
    • (1995) IEEE Transactions on Automatic Control , vol.40 , Issue.6 , pp. 1098-1102
    • Boukas, E.K.1    Zhang, Q.2    Yin, G.3
  • 6
    • 0025464943 scopus 로고
    • Controllability and Stabilizability and Continuous-Time Jump Linear-Quadratic Control
    • JI, Y., and CHIZECH, H. J., Controllability and Stabilizability and Continuous-Time Jump Linear-Quadratic Control, IEEE Transactions on Automatic Control, Vol. 35, No. 7, pp. 777-788, 1990.
    • (1990) IEEE Transactions on Automatic Control , vol.35 , Issue.7 , pp. 777-788
    • Ji, Y.1    Chizech, H.J.2
  • 10
    • 0029371118 scopus 로고
    • Robust Stability of Linear Piecewise Deterministic Systems under Matching Conditions
    • BOUKAS, E. K., Robust Stability of Linear Piecewise Deterministic Systems under Matching Conditions, Control Theory and Advanced Technology, Vol. 10, No. 4, Part 3, pp. 1541-1549, 1995.
    • (1995) Control Theory and Advanced Technology , vol.10 , Issue.4 PART 3 , pp. 1541-1549
    • Boukas, E.K.1
  • 11
    • 0029452506 scopus 로고
    • Stability of Discrete-Time Linear Systems with Markovian Jumping Parameters
    • BOUKAS, E. K., and YANG, H., Stability of Discrete-Time Linear Systems with Markovian Jumping Parameters, Mathematics of Control, Signals, and Systems, Vol. 8, pp. 390-402, 1995.
    • (1995) Mathematics of Control, Signals, and Systems , vol.8 , pp. 390-402
    • Boukas, E.K.1    Yang, H.2
  • 13
    • 0000809393 scopus 로고
    • Optimal Stationary Control for Dynamic Systems with Markov Perturbations
    • MOROZAN, T., Optimal Stationary Control for Dynamic Systems with Markov Perturbations, Stochastic Analysis and Applications, Vol. 1, No. 3, pp. 299-325, 1983.
    • (1983) Stochastic Analysis and Applications , vol.1 , Issue.3 , pp. 299-325
    • Morozan, T.1
  • 14
    • 21844522876 scopus 로고
    • Stability and Control for Linear Systems with Jump Markov Perturbations
    • MOROZAN, T., Stability and Control for Linear Systems with Jump Markov Perturbations, Stochastic Analysis and Applications, Vol. 13, No. 1, pp. 91-110, 1995.
    • (1995) Stochastic Analysis and Applications , vol.13 , Issue.1 , pp. 91-110
    • Morozan, T.1
  • 15
    • 85033910475 scopus 로고    scopus 로고
    • Parametrized Riccati Equations for Controlled Linear Differential Systems with Jump Markov Perturbations
    • Institute of Mathematics, Romanian Academy of Sciences
    • MOROZAN, T., Parametrized Riccati Equations for Controlled Linear Differential Systems with Jump Markov Perturbations, Technical Report 20/1996, Institute of Mathematics, Romanian Academy of Sciences, 1996.
    • (1996) Technical Report 20/1996
    • Morozan, T.1
  • 17
    • 0029533561 scopus 로고
    • ∞-Control of Large-Scale Jump Linear Systems via Averaging and Aggregation
    • New Orleans, Louisiana
    • ∞-Control of Large-Scale Jump Linear Systems via Averaging and Aggregation, Proceedings of the 34th IEEE Conference on Decision and Control, New Orleans, Louisiana, Vol. 3, pp. 2574-2579, 1995.
    • (1995) Proceedings of the 34th IEEE Conference on Decision and Control , vol.3 , pp. 2574-2579
    • Pan, Z.1    Basar, T.2
  • 18
    • 0030377957 scopus 로고    scopus 로고
    • Random Evolutionary Time-Scale Decomposition in Robust Control of Jump Linear Systems
    • Kobe, Japan
    • PAN, Z., and BASAR, T., Random Evolutionary Time-Scale Decomposition in Robust Control of Jump Linear Systems, Proceedings of the 35th IEEE Conference on Decision and Control, Kobe, Japan, Vol. 1, pp. 517-522, 1996.
    • (1996) Proceedings of the 35th IEEE Conference on Decision and Control , vol.1 , pp. 517-522
    • Pan, Z.1    Basar, T.2
  • 19
    • 0029547241 scopus 로고
    • Solving Nonstandard Riccati Equations Unsuing LMI Optimization
    • New Orleans, Louisiana
    • ELGHAOUI, L., and AIT RAMI, M., Solving Nonstandard Riccati Equations Unsuing LMI Optimization, Proceedings of the 34th Conference on Decision and Control, New Orleans, Louisiana, Vol. 4, pp. 3855-3856, 1995.
    • (1995) Proceedings of the 34th Conference on Decision and Control , vol.4 , pp. 3855-3856
    • Elghaoui, L.1    Ait Rami, M.2
  • 20
    • 0029507913 scopus 로고
    • Asymptotic Study of Estimation in Filtering for Linear Systems with Jumps Parameters
    • New Orleans, Louisiana
    • DUFOUR, F. ELLIOTT, R. J., and TSOI, A., Asymptotic Study of Estimation in Filtering for Linear Systems with Jumps Parameters, Proceedings of the 34th Conference on Decision and Control, New Orleans, Louisiana, Vol. 4, pp. 3349-3353, 1995.
    • (1995) Proceedings of the 34th Conference on Decision and Control , vol.4 , pp. 3349-3353
    • Dufour, F.1    Elliott, R.J.2    Tsoi, A.3
  • 21
    • 0039415671 scopus 로고    scopus 로고
    • ∞-Control for Markovian Jumping Linear Systems with Parametric Uncertainty
    • ∞-Control for Markovian Jumping Linear Systems with Parametric Uncertainty, Journal of Optimization Theory and Applications, Vol. 95, No. 2, pp. 75-99, 1997.
    • (1997) Journal of Optimization Theory and Applications , vol.95 , Issue.2 , pp. 75-99
    • Shi, P.1    Boukas, E.K.2
  • 23
    • 0030106616 scopus 로고    scopus 로고
    • Quadratic Stability and Stabilizability of Linear Systems with Frobenius Norm-Bounded Uncertainties
    • LEE, J. H., KWON, W. H., and LEE, J. W., Quadratic Stability and Stabilizability of Linear Systems with Frobenius Norm-Bounded Uncertainties, IEEE Transactions on Automatic Control, Vol. 41, No. 3, pp. 453-456, 1996.
    • (1996) IEEE Transactions on Automatic Control , vol.41 , Issue.3 , pp. 453-456
    • Lee, J.H.1    Kwon, W.H.2    Lee, J.W.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.