메뉴 건너뛰기




Volumn 114, Issue 1, 2002, Pages 69-96

Numerical solution for linear-quadratic control problems of Markov jump linear systems and weak detectability concept

Author keywords

detectability and observability of stochastic systems; Markov systems; multivariable control; mumerical methods for stochastic systems; optimal control

Indexed keywords

ALGEBRA; LINEAR CONTROL SYSTEMS; MARKOV PROCESSES; NUMERICAL METHODS; OBSERVABILITY; RICCATI EQUATIONS; STOCHASTIC CONTROL SYSTEMS;

EID: 0036265553     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1015412121001     Document Type: Article
Times cited : (14)

References (12)
  • 1
    • 0028494290 scopus 로고
    • Solution and Asymptotic Behavior of Coupled Riccati Equations in Jump Linear Systems
    • ABOU-KANDIL, H., FREILING, G., and JANK, G., Solution and Asymptotic Behavior of Coupled Riccati Equations in Jump Linear Systems, IEEE Transactions on Automatic Control, Vol. 39, pp. 1631-1636, 1994.
    • (1994) IEEE Transactions on Automatic Control , vol.39 , pp. 1631-1636
    • Abou-Kandil, H.1    Freiling, G.2    Jank, G.3
  • 3
    • 0029406643 scopus 로고
    • Lyapunov Iterations for Optimal Control of Jump Linear Systems at Steady State
    • GAJIC, Z., and BORNO, I., Lyapunov Iterations for Optimal Control of Jump Linear Systems at Steady State, IEEE Transactions on Automatic Control, Vol. 40, pp. 1971-1975, 1995.
    • (1995) IEEE Transactions on Automatic Control , vol.40 , pp. 1971-1975
    • Gajic, Z.1    Borno, I.2
  • 4
    • 0242460383 scopus 로고    scopus 로고
    • Monotonicity of Algebraic Lyapunov Iterations for Optimal Control of Jump Parameter Linear Systems
    • GAJIC, Z., and LOSADA, R., Monotonicity of Algebraic Lyapunov Iterations for Optimal Control of Jump Parameter Linear Systems, Systems and Control Letters, Vol. 41, pp. 175-181, 2000.
    • (2000) Systems and Control Letters , vol.41 , pp. 175-181
    • Gajic, Z.1    Losada, R.2
  • 5
    • 0030287555 scopus 로고    scopus 로고
    • LMI Optimization for Nonstandard Riccati Equations Arising in Stochastic Control
    • RAMI, M. A., and GHAOUI, L. E., LMI Optimization for Nonstandard Riccati Equations Arising in Stochastic Control, IEEE Transactions on Automatic Control, Vol. 41, pp. 1666-1671, 1996.
    • (1996) IEEE Transactions on Automatic Control , vol.41 , pp. 1666-1671
    • Rami, M.A.1    Ghaoui, L.E.2
  • 6
    • 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
  • 8
    • 0029504870 scopus 로고
    • Discrete-Time LQ-Optimal Control Problems for Infinite Markov Jump Parameter Systems
    • COSTA, O. L. V., and FRAGOSO, M. D., Discrete-Time LQ-Optimal Control Problems for Infinite Markov Jump Parameter Systems, IEEE Transactions on Automatic Control, Vol. 40, pp. 2076-2088, 1995.
    • (1995) IEEE Transactions on Automatic Control , vol.40 , pp. 2076-2088
    • Costa, O.L.V.1    Fragoso, M.D.2
  • 9
    • 0025479535 scopus 로고
    • Jump Linear-Quadratic Gaussian Control: Steady-State Solution and Testable Conditions
    • JI, Y., and CHIZECK, H. J., Jump Linear-Quadratic Gaussian Control: Steady-State Solution and Testable Conditions, Control Theory and Advanced Technology, Vol. 6, pp. 289-319, 1990.
    • (1990) Control Theory and Advanced Technology , vol.6 , pp. 289-319
    • Ji, Y.1    Chizeck, H.J.2
  • 10
    • 0042427746 scopus 로고    scopus 로고
    • On the Detectability and Observability of Continuous-Time Markov Jump Linear Systems
    • submitted.
    • COSTA, E. F., and DO VAL, J. B. R., On the Detectability and Observability of Continuous-Time Markov Jump Linear Systems, SIAM Journal on Control and Optimization (submitted).
    • SIAM Journal on Control and Optimization
    • Costa, E.F.1    Do Val, J.B.R.2
  • 11
    • 0033077957 scopus 로고    scopus 로고
    • 2-Control of Markovian Jump Linear Systems via Convex Analysis
    • 2-Control of Markovian Jump Linear Systems via Convex Analysis, Automatica, Vol. 35, pp. 259-268, 1999.
    • (1999) Automatica , vol.35 , pp. 259-268
    • Costa, O.L.V.1    Do Val, J.B.R.2    Geromel, J.C.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.