메뉴 건너뛰기




Volumn 223, Issue 7, 2009, Pages 1017-1025

H∞ model reduction for discrete singular Markovian jump systems

Author keywords

Linear matrix inequality (LMI); Markovian jump; Model reduction; Partially known transition probabilities; Singular systems

Indexed keywords

LINEAR MATRIX INEQUALITY (LMI); MARKOVIAN JUMP; MODEL REDUCTION; PARTIALLY KNOWN TRANSITION PROBABILITIES; SINGULAR SYSTEMS;

EID: 70350417867     PISSN: 09596518     EISSN: None     Source Type: Journal    
DOI: 10.1243/09596518JSCE797     Document Type: Article
Times cited : (10)

References (27)
  • 1
    • 0032165770 scopus 로고    scopus 로고
    • A model reduction method of 2D systems
    • Kando, H., Vkai, H., and Morita, Y. A model reduction method of 2D systems. Int. J. System Sci., 1998, 29, 989-1005.
    • (1998) Int. J. System Sci. , vol.29 , pp. 989-1005
    • Kando, H.1    Vkai, H.2    Morita, Y.3
  • 2
    • 0030192441 scopus 로고    scopus 로고
    • Model reduction by the low-frequency approximation balancing method for unstable systems
    • Chiu, T. Model reduction by the low-frequency approximation balancing method for unstable systems. IEEE Trans. Autom. Control, 1996, 41, 995-997.
    • (1996) IEEE Trans. Autom. Control , vol.41 , pp. 995-997
    • Chiu, T.1
  • 3
    • 56649099174 scopus 로고    scopus 로고
    • L2-l∞ model reduction for switched LPV systems with average dwell time
    • Zhang, L. and Shi, P. l2-l∞ model reduction for switched LPV systems with average dwell time. IEEE Trans. Autom. Control, 2008, 53, 2443-2448.
    • (2008) IEEE Trans. Autom. Control , vol.53 , pp. 2443-2448
    • Zhang, L.1    Shi, P.2
  • 4
    • 55049112642 scopus 로고    scopus 로고
    • H∞ model reduction for switched linear discrete-time systems with polyopic uncertainties
    • Zhang, L., Shi, P., Boukas, E. K., and Wang, C. H∞ model reduction for switched linear discrete-time systems with polyopic uncertainties. Automatica, 2008, 44, 2944-2949.
    • (2008) Automatica , vol.44 , pp. 2944-2949
    • Zhang, L.1    Shi, P.2    Boukas, E.K.3    Wang, C.4
  • 5
    • 60749084774 scopus 로고    scopus 로고
    • μ-dependent model reduction for uncertain discrete-time switched linear systems with average dwell time
    • Zhang, L., Boukas, E. K., and Shi, P. μ-dependent model reduction for uncertain discrete-time switched linear systems with average dwell time. Int. J. Control, 2009, 82, 378-388.
    • (2009) Int. J. Control , vol.82 , pp. 378-388
    • Zhang, L.1    Boukas, E.K.2    Shi, P.3
  • 8
    • 24144437382 scopus 로고    scopus 로고
    • H∞ model reduction for uncertain two-dimensional discrete systems
    • Gao, H., Lam, J., Wang, C., and Xu, S. H∞ model reduction for uncertain two-dimensional discrete systems. Optimal Control Applic. Methods, 2005, 26, 199-222.
    • (2005) Optimal Control Applic. Methods , vol.26 , pp. 199-222
    • Gao, H.1    Lam, J.2    Wang, C.3    Xu, S.4
  • 9
    • 60749113963 scopus 로고    scopus 로고
    • H∞ model reduction for discrete-time Markov jump linear systems with partially known transition probabilities
    • Zhang, L., Boukas, E. K., and Shi, P. H∞ model reduction for discrete-time Markov jump linear systems with partially known transition probabilities. Int. J. Control 2009, 82, 343-351.
    • (2009) Int. J. Control , vol.82 , pp. 343-351
    • Zhang, L.1    Boukas, E.K.2    Shi, P.3
  • 10
    • 0043013342 scopus 로고    scopus 로고
    • H∞ model reduction of Markovian jump linear systems
    • Zhang, L., Huang, B., and Lam, J. H∞ model reduction of Markovian jump linear systems. Systems Control Lett., 2003, 50, 103-118.
    • (2003) Systems Control Lett. , vol.50 , pp. 103-118
    • Zhang, L.1    Huang, B.2    Lam, J.3
  • 11
    • 70350408656 scopus 로고    scopus 로고
    • H∞ model reduction for discrete time-delay systems: Delay-independent and dependent approaches
    • Gao, H., Lam, J., Wang, C., and Xu, S. H∞ model reduction for discrete time-delay systems: delay- independent and dependent approaches. Int. J. Control, 2004, 49, 1187-1191.
    • (2004) Int. J. Control , vol.49 , pp. 1187-1191
    • Gao, H.1    Lam, J.2    Wang, C.3    Xu, S.4
  • 12
    • 4043174781 scopus 로고    scopus 로고
    • H∞ model reduction in the stochastic framework
    • Xu, S. and Chen, T. H∞ model reduction in the stochastic framework. SIAM J. Control Optimization, 2003, 42, 1293-1309.
    • (2003) SIAM J. Control Optimization , vol.42 , pp. 1293-1309
    • Xu, S.1    Chen, T.2
  • 18
    • 0037440977 scopus 로고    scopus 로고
    • H∞ model reduction for discrete-time singular systems
    • Xu, S. and Lam, J. H∞ model reduction for discrete- time singular systems. Systems Control Lett., 2003, 48, 121-133.
    • (2003) Systems Control Lett. , vol.48 , pp. 121-133
    • Xu, S.1    Lam, J.2
  • 19
    • 21844434176 scopus 로고    scopus 로고
    • H ∞ model reduction of 2-D dingular roesser models
    • DOI 10.1007/s11045-005-1678-1
    • Xu, H., Zou, Y., Xu, S., Lam, J., and Wang, Q. H∞ model reduction of 2-D singular Roesser models. Multidimensional Systems and Signal Processing, 2005, 16, 285-304. (Pubitemid 40952261)
    • (2005) Multidimensional Systems and Signal Processing , vol.16 , Issue.3 , pp. 285-304
    • Xu, H.1    Zou, Y.2    Xu, S.3    Lam, J.4    Wang, Q.5
  • 21
    • 27844468655 scopus 로고    scopus 로고
    • Static output feedback control for stochastic hybrid systems: LMI approach
    • Boukas, E. K. Static output feedback control for stochastic hybrid systems: LMI approach. Automatica, 2006, 42, 183-188.
    • (2006) Automatica , vol.42 , pp. 183-188
    • Boukas, E.K.1
  • 22
    • 28244459610 scopus 로고    scopus 로고
    • On stability and stabilizability of singular stochastic systems with delays
    • DOI 10.1007/s10957-005-6538-5
    • Boukas, E. K., Xu, S., and Lam, J. On stability and stabilizability of singular stochastic systems with delays. J. Optimization Theory Applic., 2005, 127, 249-262. (Pubitemid 41705504)
    • (2005) Journal of Optimization Theory and Applications , vol.127 , Issue.2 , pp. 249-262
    • Boukas, E.K.1    Xu, S.2    Lam, J.3
  • 23
    • 46149088295 scopus 로고    scopus 로고
    • Descriptor discrete-time systems with random abrupt changes: Stability and stabilisation
    • Boukas, E. K. and Xia, Y. Descriptor discrete-time systems with random abrupt changes: stability and stabilisation. Int. J. Control, 2008, 81, 1311-1318.
    • (2008) Int. J. Control , vol.81 , pp. 1311-1318
    • Boukas, E.K.1    Xia, Y.2
  • 24
    • 53149088166 scopus 로고    scopus 로고
    • Control for discrete singular hybrid systems
    • Xia, Y., Zhang, J., and Boukas, E. K. Control for discrete singular hybrid systems. Automatica, 2008, 44, 2635-2641.
    • (2008) Automatica , vol.44 , pp. 2635-2641
    • Xia, Y.1    Zhang, J.2    Boukas, E.K.3
  • 25
    • 33847062511 scopus 로고    scopus 로고
    • Robust H∞ control of descriptor discrete-time Markovian jump systems
    • DOI 10.1080/00207170600999322, PII 770504205
    • Lam, J., Shu, Z., Xu, S., and Boukas, E. K. Robust H∞ control of descriptor discrete-time Markovian jump systems. Int. J. Control, 2007, 80, 374-385. (Pubitemid 46269099)
    • (2007) International Journal of Control , vol.80 , Issue.3 , pp. 374-385
    • Lam, J.1    Shu, Z.2    Xu, S.3    Boukas, E.-K.4
  • 26
    • 67649207216 scopus 로고    scopus 로고
    • H∞ control for discrete-time Markovian jump linear systems with partly unknown transition probabilities
    • Zhang, L. and Boukas, E. K. H∞ control for discrete-time Markovian jump linear systems with partly unknown transition probabilities. Int. J. Robust Nonlinear Control, 2009, 19, 868-883.
    • (2009) Int. J. Robust Nonlinear Control , vol.19 , pp. 868-883
    • Zhang, L.1    Boukas, E.K.2
  • 27
    • 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 Advd Technol., 1990, 6, 289-319
    • (1990) Control Theory Advd Technol , vol.6 , pp. 289-319
    • Ji, Y.1    Chizeck, H.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.