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Volumn 42, Issue 3, 1997, Pages 378-382

A new general sufficient condition for almost sure stability of jump linear systems

Author keywords

Almost sure stability; Jump linear systems; Stochastic stability

Indexed keywords

DISCRETE TIME CONTROL SYSTEMS; EIGENVALUES AND EIGENFUNCTIONS; LINEAR CONTROL SYSTEMS; LYAPUNOV METHODS; MARKOV PROCESSES; MATRIX ALGEBRA; PROBABILITY; STATE SPACE METHODS;

EID: 0031099290     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.557580     Document Type: Article
Times cited : (65)

References (19)
  • 1
    • 0011255931 scopus 로고
    • Limiting theorems for noncommutative operators
    • R. Bellman, "Limiting theorems for noncommutative operators," Duke Math. J., vol. 21, p. 456, 1960.
    • (1960) Duke Math. J. , vol.21 , pp. 456
    • Bellman, R.1
  • 2
    • 0011248763 scopus 로고
    • Stability of systems with randomly time-varying parameters
    • A. R. Bergen, "Stability of systems with randomly time-varying parameters," IRE Trans., vol. AC-5, p. 265, 1960.
    • (1960) IRE Trans. , vol.AC-5 , pp. 265
    • Bergen, A.R.1
  • 3
    • 84936892579 scopus 로고
    • Stability of circuits with randomly time-varying parameters
    • J. E. Bertram and P. E. Sarachik, "Stability of circuits with randomly time-varying parameters," IRE Trans., Special Issue, vol. PGIT-5, p. 260, 1959.
    • (1959) IRE Trans. , vol.PGIT-5 , Issue.SPEC. ISSUE , pp. 260
    • Bertram, J.E.1    Sarachik, P.E.2
  • 5
    • 0022518706 scopus 로고
    • Discrete-time Markovian-jump quadratic optimal control
    • H. J. Chizeck, A. S. Willsky, and D. Castanon, "Discrete-time Markovian-jump quadratic optimal control," Int. J. Contr., vol. 43, no. 1, pp. 213-231, 1986.
    • (1986) Int. J. Contr. , vol.43 , Issue.1 , pp. 213-231
    • Chizeck, H.J.1    Willsky, A.S.2    Castanon, D.3
  • 6
    • 33845392294 scopus 로고
    • Stability analysis for discrete-time linear systems with Markovi an jumping parameters
    • O. L. V. Costa and M. D. Fragoso, "Stability analysis for discrete-time linear systems with Markovi an jumping parameters," J. Math. Anal. Appl., vol. 179, pp. 154-178, 1993.
    • (1993) J. Math. Anal. Appl. , vol.179 , pp. 154-178
    • Costa, O.L.V.1    Fragoso, M.D.2
  • 7
    • 84904783359 scopus 로고
    • Statistical stability and output signal moments of a class of systems with random variation of structure
    • B. S. Darkhovskii and V. S. Leibovich, "Statistical stability and output signal moments of a class of systems with random variation of structure," Auto. Remote Contr., vol. 32, no. 10, pp. 1560-1567, 1971.
    • (1971) Auto. Remote Contr. , vol.32 , Issue.10 , pp. 1560-1567
    • Darkhovskii, B.S.1    Leibovich, V.S.2
  • 8
    • 0000465776 scopus 로고
    • Almost sure and δ-moment stability of jump linear systems
    • Y. Fang, K. A. Loparo, and X. Feng, "Almost sure and δ-moment stability of jump linear systems," Int. J. Contr., vol. 59, no. 5, pp. 1281-1307, 1994.
    • (1994) Int. J. Contr. , vol.59 , Issue.5 , pp. 1281-1307
    • Fang, Y.1    Loparo, K.A.2    Feng, X.3
  • 9
    • 0001305048 scopus 로고
    • Stability of discrete time jump linear systems
    • _, "Stability of discrete time jump linear systems," J. Math. Syst., Estimation Contr., vol. 5, no. 3, pp. 275-321, 1995.
    • (1995) J. Math. Syst., Estimation Contr. , vol.5 , Issue.3 , pp. 275-321
  • 10
  • 11
    • 0026711643 scopus 로고
    • Stochastic stability properties of jump linear systems
    • X. Feng, K. A. Loparo, Y. Ji, and H. J. Chizeck, "Stochastic stability properties of jump linear systems," IEEE Trans Automat. Contr., vol. 37, no. 1, pp. 38-53, 1992.
    • (1992) IEEE Trans Automat. Contr. , vol.37 , Issue.1 , pp. 38-53
    • Feng, X.1    Loparo, K.A.2    Ji, Y.3    Chizeck, H.J.4
  • 13
    • 0025479535 scopus 로고
    • Jump linear quadratic Gaussian control: Steady state solution and testable conditions
    • Y. Ji and H. J. Chizeck, "Jump linear quadratic Gaussian control: Steady state solution and testable conditions," Contr. Theory Advanced Tech., vol. 6, no. 3, pp. 289-319, 1990.
    • (1990) Contr. Theory Advanced Tech. , vol.6 , Issue.3 , pp. 289-319
    • Ji, Y.1    Chizeck, H.J.2
  • 14
    • 0025464943 scopus 로고
    • Controllability, stabilizability, and continuous time Markovian jump linear quadratic control
    • _, "Controllability, stabilizability, and continuous time Markovian jump linear quadratic control," IEEE Trans. Automat. Contr., vol. 35, no. 7, pp. 777-788, 1990.
    • (1990) IEEE Trans. Automat. Contr. , vol.35 , Issue.7 , pp. 777-788
  • 15
    • 0026169870 scopus 로고
    • Stability and control of discrete-time jump linear systems
    • Y. Ji, H. J. Chizeck, X. Feng, and K. A. Loparo, "Stability and control of discrete-time jump linear systems," Contr. Theory Advanced Tech., vol. 7, no. 2, pp. 247-270, 1991.
    • (1991) Contr. Theory Advanced Tech. , vol.7 , Issue.2 , pp. 247-270
    • Ji, Y.1    Chizeck, H.J.2    Feng, X.3    Loparo, K.A.4
  • 16
    • 0007390824 scopus 로고
    • On the stability of systems with random parameters
    • I. I. Kats and N. N. Krasovskii, "On the stability of systems with random parameters," Prkil. Met. Mek., vol. 24, p. 809, 1960.
    • (1960) Prkil. Met. Mek. , vol.24 , pp. 809
    • Kats, I.I.1    Krasovskii, N.N.2
  • 19
    • 0011230339 scopus 로고
    • Analysis of linear systems with randomly time-varying parameters
    • Poly. Inst. Brooklyn
    • A. Rosenbloom, "Analysis of linear systems with randomly time-varying parameters," in Proc. Symp. Inf. Nets, Poly. Inst. Brooklyn, 1954, vol. III, p. 145.
    • (1954) Proc. Symp. Inf. Nets , vol.3 , pp. 145
    • Rosenbloom, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.