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Volumn 6, Issue 9-10, 1996, Pages 1015-1022

Robust state-feedback stabilization of jump linear systems via LMIs

Author keywords

Jump linear systems; Linear matrix inequality; Robust control

Indexed keywords

BOUNDARY CONDITIONS; CONTROL SYSTEM ANALYSIS; FEEDBACK CONTROL; MARKOV PROCESSES; MATRIX ALGEBRA; PROBABILITY; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY;

EID: 0030287949     PISSN: 10498923     EISSN: None     Source Type: Journal    
DOI: 10.1002/(sici)1099-1239(199611)6:9/10<1015::aid-rnc266>3.0.co;2-0     Document Type: Article
Times cited : (173)

References (24)
  • 1
    • 0001682716 scopus 로고
    • Analytical design of controllers in systems with random attributes
    • Krasovskii, N. N. and E. A. Lidskii, 'Analytical design of controllers in systems with random attributes', Automation and Remote Control, 22, 1021-1025 (1961).
    • (1961) Automation and Remote Control , vol.22 , pp. 1021-1025
    • Krasovskii, N.N.1    Lidskii, E.A.2
  • 2
    • 84930581460 scopus 로고
    • Feedback control of a class of linear systems with jump parameters
    • Sworder, D. D., 'Feedback control of a class of linear systems with jump parameters', IEEE Trans. Aut. Control, 14(1), 9-14 (1969).
    • (1969) IEEE Trans. Aut. Control , vol.14 , Issue.1 , pp. 9-14
    • Sworder, D.D.1
  • 3
    • 10644222017 scopus 로고
    • Utilization of repair capability in a stochastic dynamic system
    • Sworder, D. D., 'Utilization of repair capability in a stochastic dynamic system', J. Economic Dynamics and Control, 5, 371-385 (1983).
    • (1983) J. Economic Dynamics and Control , vol.5 , pp. 371-385
    • Sworder, D.D.1
  • 4
    • 0002256901 scopus 로고
    • Random differential equations in control theory
    • A. T. Bharucha-Reid, (Ed), Academic Press, New York
    • Wonham, W. M., 'Random differential equations in control theory', In A. T. Bharucha-Reid, (Ed), Probabilistic Methods in Applied Mathematics, volume 2, Academic Press, New York, 1970, pp. 131-212.
    • (1970) Probabilistic Methods in Applied Mathematics , vol.2 , pp. 131-212
    • Wonham, W.M.1
  • 5
    • 0022115071 scopus 로고
    • Output feedback for a class of linear systems
    • Mariton, M., and B. Bertrand, 'Output feedback for a class of linear systems', IEEE Trans. Aut. Control, AC-30(9), 898-900 (1985).
    • (1985) IEEE Trans. Aut. Control , vol.AC-30 , Issue.9 , pp. 898-900
    • Mariton, M.1    Bertrand, B.2
  • 6
    • 0026105106 scopus 로고
    • Control of nonlinear systems with Markovian parameter changes
    • Mariton, M., 'Control of nonlinear systems with Markovian parameter changes', IEEE Trans. Aut. Control, 36(2), 233-238 (1991).
    • (1991) IEEE Trans. Aut. Control , vol.36 , Issue.2 , pp. 233-238
    • Mariton, M.1
  • 7
    • 0022010727 scopus 로고
    • Optimal adaptive LQG control for systems with finite state process parameters
    • Caines, P. E. and H. F. Chen, 'Optimal adaptive LQG control for systems with finite state process parameters', IEEE Trans. Aut. Control, 30(2), 185-189 (1985).
    • (1985) IEEE Trans. Aut. Control , vol.30 , Issue.2 , pp. 185-189
    • Caines, P.E.1    Chen, H.F.2
  • 8
    • 0024063627 scopus 로고
    • Controllability, observability and discrete-time Markovian jump linear quadratic control
    • Ji, Y., and H. J. Chizeck, 'Controllability, observability and discrete-time Markovian jump linear quadratic control', Int. J. Control, 48(2), 481-498 (1988).
    • (1988) Int. J. Control , vol.48 , Issue.2 , pp. 481-498
    • Ji, Y.1    Chizeck, H.J.2
  • 9
    • 37549011586 scopus 로고
    • Jump linear quadratic Gaussian control in continuous time
    • Ji, Y. and H. J. Chizeck, 'Jump linear quadratic Gaussian control in continuous time', IEEE Trans. Aut. Control, 37(12), 1884-1892 (1992).
    • (1992) IEEE Trans. Aut. Control , vol.37 , Issue.12 , pp. 1884-1892
    • Ji, Y.1    Chizeck, H.J.2
  • 10
    • 0022881962 scopus 로고
    • An algorithm for a solution of stochastic adaptive linear quadratic optimal control problem
    • Rishel, R. and L. Harris, 'An algorithm for a solution of stochastic adaptive linear quadratic optimal control problem', IEEE Trans. Aut. Control, 31(12), 1166-1170 (1986).
    • (1986) IEEE Trans. Aut. Control , vol.31 , Issue.12 , pp. 1166-1170
    • Rishel, R.1    Harris, L.2
  • 11
    • 0023450511 scopus 로고
    • Optimal stabilization of families of linear stochastic differential equations with jump coefficients and multiplicative noise
    • Hopkins, W. E., 'Optimal stabilization of families of linear stochastic differential equations with jump coefficients and multiplicative noise', SIAM J. Control and Opt., vol 25, 1587-1599 (1987).
    • (1987) SIAM J. Control and Opt. , vol.25 , pp. 1587-1599
    • Hopkins, W.E.1
  • 12
    • 0022135889 scopus 로고
    • A homotopy algorithm for solving coupled Riccati equations
    • Mariton, M., and P. Bertrand, 'A homotopy algorithm for solving coupled Riccati equations', Opt. Contr. Appl. & Methods, 6, 351-357 (1985).
    • (1985) Opt. Contr. Appl. & Methods , vol.6 , pp. 351-357
    • Mariton, M.1    Bertrand, P.2
  • 13
    • 0022440544 scopus 로고
    • Optimal control of linear systems with parameter uncertainty
    • Hopkins, W. E., 'Optimal control of linear systems with parameter uncertainty, IEEE Trans. Aut. Control, 31(1), 72-74, (1986)
    • (1986) IEEE Trans. Aut. Control , vol.31 , Issue.1 , pp. 72-74
    • Hopkins, W.E.1
  • 14
    • 0025540489 scopus 로고
    • Homotopy methods for the solution of general modified algebraic Riccati equations
    • Honolulu, Hawaii, December
    • Richter, S. and A. S. Hodel, 'Homotopy methods for the solution of general modified algebraic Riccati equations', Proc. IEEE Conf. on Decision and Control, Honolulu, Hawaii, December 1990, pp. 971-976.
    • (1990) Proc. IEEE Conf. on Decision and Control , pp. 971-976
    • Richter, S.1    Hodel, A.S.2
  • 15
    • 0028494290 scopus 로고
    • Solution and asymptotic behavior of coupled Riccati equations in jump linear systems
    • Abou-Kandil, H., G. Freiling and G. Jank, 'Solution and asymptotic behavior of coupled Riccati equations in jump linear systems', IEEE Trans. Aut. Control, 39(8), 1631-1636 (1994).
    • (1994) IEEE Trans. Aut. Control , vol.39 , Issue.8 , pp. 1631-1636
    • Abou-Kandil, H.1    Freiling, G.2    Jank, G.3
  • 16
    • 0026711643 scopus 로고
    • Stochastic stability properties of jump linear systems
    • Feng, X., K. A. Loparo, Y. Ji and H. J. Chizeck, 'Stochastic stability properties of jump linear systems', IEEE Trans. Aut. Control, 37(1), 38-53 (1992).
    • (1992) IEEE Trans. Aut. Control , vol.37 , Issue.1 , pp. 38-53
    • Feng, X.1    Loparo, K.A.2    Ji, Y.3    Chizeck, H.J.4
  • 17
  • 18
    • 0030106462 scopus 로고    scopus 로고
    • Semidefinite programming
    • Vandenberghe, L. and S. Boyd, 'Semidefinite programming', SIAM Review, 38(1), 49-95 (1996).
    • (1996) SIAM Review , vol.38 , Issue.1 , pp. 49-95
    • Vandenberghe, L.1    Boyd, S.2
  • 19
    • 10644271658 scopus 로고
    • Moment and correlation functions of solutions of some matrix differential equations
    • Morrison, J. A., 'Moment and correlation functions of solutions of some matrix differential equations', J. Math. Phys., 13(3), 299-306 (1972).
    • (1972) J. Math. Phys. , vol.13 , Issue.3 , pp. 299-306
    • Morrison, J.A.1
  • 21
    • 0027335047 scopus 로고
    • μ synthesis by script D sign-script K sign iterations with constant scaling
    • San Francisco, California
    • Apkarian, P., J. P. Chretien P. Gahinet and J. M. Biannic, 'μ synthesis by script D sign-script K sign iterations with constant scaling', Proceedings of American Control Conference, San Francisco, California, 1993, pp. 3192-3196.
    • (1993) Proceedings of American Control Conference , pp. 3192-3196
    • Apkarian, P.1    Chretien, J.P.2    Gahinet, P.3    Biannic, J.M.4
  • 23
    • 0029547241 scopus 로고
    • Solving non-standard Riccati equations using LMI optimization
    • New Orleans, Louisiana, December
    • Ait-Rami, M. and L. El Ghaoui, 'Solving non-standard Riccati equations using LMI optimization', Proc. IEEE Conf. on Decision and Control, New Orleans, Louisiana, pp. 3855-56, December 1995.
    • (1995) Proc. IEEE Conf. on Decision and Control , pp. 3855-3856
    • Ait-Rami, M.1    El Ghaoui, L.2
  • 24


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.