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Volumn 137, Issue 2, 2008, Pages 335-345

On state feedback stabilization of singular systems with random abrupt changes

(1)  Boukas, E K a  

a GERAD   (Canada)

Author keywords

Jump linear systems; Linear matrix inequality; Robust stochastic stabilization; Singular systems; State feedback controller; Stochastic stabilization

Indexed keywords

CONTINUOUS TIME SYSTEMS; CONTROLLERS; FEEDBACK CONTROL; LINEAR SYSTEMS; NONLINEAR CONTROL SYSTEMS; ROBUSTNESS (CONTROL SYSTEMS); STABILIZATION; STATE FEEDBACK; STOCHASTIC SYSTEMS;

EID: 42449158561     PISSN: 00223239     EISSN: 15732878     Source Type: Journal    
DOI: 10.1007/s10957-007-9338-2     Document Type: Article
Times cited : (10)

References (31)
  • 2
    • 0026105106 scopus 로고
    • Control of nonlinear systems with Markovian parameter changes
    • Mariton, M.: Control of nonlinear systems with Markovian parameter changes. IEEE Trans. Automat. Contr. 36, 233-238 (1991)
    • (1991) IEEE Trans. Automat. Contr. , vol.36 , pp. 233-238
    • Mariton, M.1
  • 3
    • 0033177495 scopus 로고    scopus 로고
    • Exponential stability of stochastic systems with Markovian jumping parameters
    • Boukas, E.K., Hang, H.: Exponential stability of stochastic systems with Markovian jumping parameters. Automatica 35, 1437-1441 (1999)
    • (1999) Automatica , vol.35 , pp. 1437-1441
    • Boukas, E.K.1    Hang, H.2
  • 4
    • 0035533683 scopus 로고    scopus 로고
    • Robust stability and stability of Markov jump linear uncertain systems with mode-dependent time delays
    • Boukas, E.K., Liu, Z.K.: Robust stability and stability of Markov jump linear uncertain systems with mode-dependent time delays. J. Optim. Theory Appl. 209, 587-600 (2001)
    • (2001) J. Optim. Theory Appl. , vol.209 , pp. 587-600
    • Boukas, E.K.1    Liu, Z.K.2
  • 6
    • 0025464943 scopus 로고
    • Controllability, stabilizability, and continuous-time Markovian jump linear quadratic control
    • Ji, Y., Chizeck, H.J.: Controllability, stabilizability, and continuous-time Markovian jump linear quadratic control. IEEE Trans. Automat. Contr. 35, 777-788 (1990)
    • (1990) IEEE Trans. Automat. Contr. , vol.35 , pp. 777-788
    • Ji, Y.1    Chizeck, H.J.2
  • 7
    • 0003182919 scopus 로고    scopus 로고
    • Stability of stochastic differential equations with Markovian switching
    • Mao, X.: Stability of stochastic differential equations with Markovian switching. Stoch. Process. Their Appl. 79, 45-67 (1999)
    • (1999) Stoch. Process. Their Appl. , vol.79 , pp. 45-67
    • Mao, X.1
  • 9
    • 0039415671 scopus 로고    scopus 로고
    • ∞-control for Markovian jumping linear systems with parametric uncertainty
    • ∞-control for Markovian jumping linear systems with parametric uncertainty. J. Optim. Theory Appl. 95, 75-99 (1997)
    • (1997) J. Optim. Theory Appl. , vol.95 , pp. 75-99
    • Shi, P.1    Boukas, E.K.2
  • 10
    • 0033890408 scopus 로고    scopus 로고
    • ∞ control of uncertain Markovian jump systems with time delay
    • 1
    • ∞ control of uncertain Markovian jump systems with time delay. IEEE Trans. Automat. Contr. 45(1), 77-83 (2000)
    • (2000) IEEE Trans. Automat. Contr. , vol.45 , pp. 77-83
    • Cao, Y.Y.1    Lam, J.2
  • 11
    • 0035704569 scopus 로고    scopus 로고
    • ∞ control of discrete-time Markovian jump linear systems with mode-dependent time delays
    • ∞ control of discrete-time Markovian jump linear systems with mode-dependent time delays. IEEE Trans. Automat. Contr. 46, 1918-1924 (2001)
    • (2001) IEEE Trans. Automat. Contr. , vol.46 , pp. 1918-1924
    • Boukas, E.K.1    Liu, Z.K.2
  • 12
    • 0035836301 scopus 로고    scopus 로고
    • ∞ control of jump linear systems with time delay
    • ∞ control of jump linear systems with time delay. Int. J. Contr. 74, 329-340 (2001)
    • (2001) Int. J. Contr. , vol.74 , pp. 329-340
    • Boukas, E.K.1    Liu, Z.K.2    Liu, G.X.3
  • 14
    • 0029265995 scopus 로고
    • Feedback control of nonlinear differential-algebraic equation systems
    • Kumar, A., Daoutidis, P.: Feedback control of nonlinear differential-algebraic equation systems. AIChE J. 41, 619-636 (1995)
    • (1995) AIChE J. , vol.41 , pp. 619-636
    • Kumar, A.1    Daoutidis, P.2
  • 15
  • 16
    • 0019437158 scopus 로고
    • The semistate description of nonlinear time-variable circuits
    • Newcomb, R.W.: The semistate description of nonlinear time-variable circuits. IEEE Trans. Circuits Syst. 28, 62-71 (1981)
    • (1981) IEEE Trans. Circuits Syst. , vol.28 , pp. 62-71
    • Newcomb, R.W.1
  • 17
    • 0035709199 scopus 로고    scopus 로고
    • A Lyapunov-based approach to stability of descriptor systems with delay
    • Orlando, Florida
    • Fridman, E.: A Lyapunov-based approach to stability of descriptor systems with delay. In: Proceedings of the 40th IEEE Conference on Control and Decision, Orlando, Florida, pp. 2850-2855 (2001)
    • (2001) Proceedings of the 40th IEEE Conference on Control and Decision , pp. 2850-2855
    • Fridman, E.1
  • 18
    • 0041764935 scopus 로고    scopus 로고
    • Semiglobal stabilization and output regulation of singular linear systems with input saturation
    • Lan, W., Huang, J.: Semiglobal stabilization and output regulation of singular linear systems with input saturation. IEEE Trans. Automat. Contr. 48, 1274-1280 (2003)
    • (2003) IEEE Trans. Automat. Contr. , vol.48 , pp. 1274-1280
    • Lan, W.1    Huang, J.2
  • 19
    • 0036646914 scopus 로고    scopus 로고
    • Robust stability and stabilization of discrete-time singular systems with state delay and parameter uncertainty
    • Xu, S., Dooren, P.V., Stefan, R., Lam, J.: Robust stability and stabilization of discrete-time singular systems with state delay and parameter uncertainty. IEEE Trans. Automat. Contr. 47, 1122-1128 (2002)
    • (2002) IEEE Trans. Automat. Contr. , vol.47 , pp. 1122-1128
    • Xu, S.1    Dooren, P.V.2    Stefan, R.3    Lam, J.4
  • 20
    • 2442543340 scopus 로고    scopus 로고
    • Robust stability and stabilization of discrete-time singular systems: An equivalent characterization
    • Xu, S., Lam, J.: Robust stability and stabilization of discrete-time singular systems: an equivalent characterization. IEEE Trans. Automat. Contr. 49, 568-574 (2004)
    • (2004) IEEE Trans. Automat. Contr. , vol.49 , pp. 568-574
    • Xu, S.1    Lam, J.2
  • 21
    • 0032598164 scopus 로고    scopus 로고
    • Stabilization of discrete-time singular systems: A matrix inequalities approach
    • Xu, S., Yang, C.: Stabilization of discrete-time singular systems: a matrix inequalities approach. Automatica 35, 1613-1617 (1999)
    • (1999) Automatica , vol.35 , pp. 1613-1617
    • Xu, S.1    Yang, C.2
  • 22
    • 0031097615 scopus 로고    scopus 로고
    • Assignment and controllability subspaces in descriptor systems
    • Fletcher, L.R.: Assignment and controllability subspaces in descriptor systems. Int. J. Contr. 66, 677-709 (1997)
    • (1997) Int. J. Contr. , vol.66 , pp. 677-709
    • Fletcher, L.R.1
  • 23
    • 0029639903 scopus 로고
    • A generalized Lyapunov theorem for descriptor systems
    • Takaba, K., Morihira, N., Katayama, T.: A generalized Lyapunov theorem for descriptor systems. Syst. Control Lett. 24, 49-51 (1995)
    • (1995) Syst. Control Lett. , vol.24 , pp. 49-51
    • Takaba, K.1    Morihira, N.2    Katayama, T.3
  • 25
    • 0036539410 scopus 로고    scopus 로고
    • Robust D-stability analysis for uncertain discrete singular systems with state delay
    • Xu, S., Lam, J., Zhang, L.: Robust D-stability analysis for uncertain discrete singular systems with state delay. IEEE Trans. Circuits Syst. I. 49, 551-555 (2002)
    • (2002) IEEE Trans. Circuits Syst. I. , vol.49 , pp. 551-555
    • Xu, S.1    Lam, J.2    Zhang, L.3
  • 26
    • 1442278774 scopus 로고    scopus 로고
    • Robust stability for uncertain discrete singular systems with state delay
    • Xu, S., Lam, J.: Robust stability for uncertain discrete singular systems with state delay. Asian J. Control 5, 399-405 (2003)
    • (2003) Asian J. Control , vol.5 , pp. 399-405
    • Xu, S.1    Lam, J.2
  • 27
    • 0141857530 scopus 로고    scopus 로고
    • Delay-dependent stability analysis of singular linear continuous-time systems
    • 2
    • Boukas, E.K., Liu, Z.K.: Delay-dependent stability analysis of singular linear continuous-time systems. IEE Proc. Control Theory Appl. 150(2), 325-330 (2003)
    • (2003) IEE Proc. Control Theory Appl. , vol.150 , pp. 325-330
    • Boukas, E.K.1    Liu, Z.K.2
  • 28
    • 1542335593 scopus 로고    scopus 로고
    • Delay-dependent stabilization of singularly perturbed jump linear systems
    • 3
    • Boukas, E.K., Liu, Z.K.: Delay-dependent stabilization of singularly perturbed jump linear systems. Int. J. Contr. 77(3), 310-319 (2004)
    • (2004) Int. J. Contr. , vol.77 , pp. 310-319
    • Boukas, E.K.1    Liu, Z.K.2
  • 29
    • 24344451748 scopus 로고    scopus 로고
    • ∞ control design for singular continuous-time delay systems with parametric uncertainties
    • 1
    • ∞ control design for singular continuous-time delay systems with parametric uncertainties. Nonlinear Dyn. Syst. Theory 4(1), 59-71 (2004)
    • (2004) Nonlinear Dyn. Syst. Theory , vol.4 , pp. 59-71
    • Shi, P.1    Boukas, E.K.2
  • 31
    • 42449113413 scopus 로고    scopus 로고
    • On robust stability of singular systems with random abrupt changes
    • Boukas, E.K.: On robust stability of singular systems with random abrupt changes. Int. J. Hybrid. Syst. (2005)
    • (2005) Int. J. Hybrid. Syst.
    • Boukas, E.K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.