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Volumn 219, Issue 18, 2013, Pages 9681-9695

Dissipativity analysis and design for uncertain Markovian jump systems with time-varying delays

Author keywords

Dissipativity analysis; Markovian jump systems; Output feedback dissaptivity; State feedback dissaptivity; Time varying delays

Indexed keywords

CLOSED LOOP SYSTEMS; FEEDBACK; LINEAR MATRIX INEQUALITIES; MARKOV PROCESSES; NONLINEAR CONTROL SYSTEMS; NUMERICAL METHODS; STATE FEEDBACK; TIME DELAY; UNCERTAINTY ANALYSIS;

EID: 84893643998     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2013.03.024     Document Type: Article
Times cited : (28)

References (42)
  • 1
    • 0004178386 scopus 로고    scopus 로고
    • Third ed, Prentice-Hall, New Jersey
    • H.K. Khalil, Nonlinear Systems, Third ed, Prentice-Hall, New Jersey, 2002.
    • (2002) Nonlinear Systems
    • Khalil, H.K.1
  • 2
    • 34250464350 scopus 로고
    • Dissipative dynamical systems Part I: General theory
    • J.C. Willems, Dissipative dynamical systems part I: general theory, Arch. Ration. Mech. Anal. 45 (5) (1972) 321-351.
    • (1972) Arch. Ration. Mech. Anal. , vol.45 , Issue.5 , pp. 321-351
    • Willems, J.C.1
  • 3
    • 9144224584 scopus 로고
    • Dissipative dynamical systems: Part II: Linear systems with quadratic supply rates
    • J.C. Willems, Dissipative dynamical systems: part II: linear systems with quadratic supply rates, Arch. Ration. Mech. Anal. 45 (5) (1972) 352-393.
    • (1972) Arch. Ration. Mech. Anal. , vol.45 , Issue.5 , pp. 352-393
    • Willems, J.C.1
  • 4
    • 0017009905 scopus 로고
    • The stability of nonlinear dissipative systems
    • D.J. Hill, P.J. Moylan, The stability of nonlinear dissipative systems, IEEE Trans. Autom. Control 21 (5) (1976) 708-711.
    • (1976) IEEE Trans. Autom. Control , vol.21 , Issue.5 , pp. 708-711
    • Hill, D.J.1    Moylan, P.J.2
  • 5
    • 0019020679 scopus 로고
    • Dissipative dynamical systems: Basic input-output and state properties
    • D.J. Hill, P.J. Moylan, Dissipative dynamical systems: basic input-output and state properties, J. Franklin Inst. 309 (1980) 327-357.
    • (1980) J. Franklin Inst. , vol.309 , pp. 327-357
    • Hill, D.J.1    Moylan, P.J.2
  • 6
    • 34547863036 scopus 로고    scopus 로고
    • Dissipative analysis and synthesis of time-delay systems
    • M.S. Mahmoud, H.N. Nounou, Dissipative analysis and synthesis of time-delay systems, Mediterranean J. Meas. Control 1 (2005) 97-108.
    • (2005) Mediterranean J. Meas. Control , vol.1 , pp. 97-108
    • Mahmoud, M.S.1    Nounou, H.N.2
  • 7
    • 67349112929 scopus 로고    scopus 로고
    • Dissipativity analysis and synthesis of a class of nonlinear systems with time-varying delays
    • M.S. Mahmoud, Y. Shi, F.M. AL-Sunni, Dissipativity analysis and synthesis of a class of nonlinear systems with time-varying delays, J. Franklin Inst. 346 (2009) 570-592.
    • (2009) J. Franklin Inst. , vol.346 , pp. 570-592
    • Mahmoud, M.S.1    Shi, Y.2    Al-Sunni, F.M.3
  • 8
    • 45949110569 scopus 로고    scopus 로고
    • A passivity-based stability criterion for a class of biochemical reaction networks
    • M. Arcak, E.D. Sontag, A dissipativity-based stability criterion for a class of biochemical reaction networks, Math. Biosci. Eng. 5 (1) (2008) 1-19. (Pubitemid 351890399)
    • (2008) Mathematical Biosciences and Engineering , vol.5 , Issue.1 , pp. 1-19
    • Arcak, M.1    Sontag, E.D.2
  • 9
    • 73649087909 scopus 로고    scopus 로고
    • Dissipative control for internet-based switching systems
    • M.S. Mahmoud, H.N. Nounou, Yuanqing Xia, Dissipative control for Internet-based switching systems, J. Franklin Inst. 347 (1) (2010) 154-172.
    • (2010) J. Franklin Inst. , vol.347 , Issue.1 , pp. 154-172
    • Mahmoud, M.S.1    Nounou, H.N.2    Xia, Y.3
  • 10
    • 35048887454 scopus 로고    scopus 로고
    • Observer-based synchronization in complex dynamical networks with non-symmetric coupling
    • J.S. Wu, LC. Jiao, Observer-based synchronization in complex dynamical networks with non-symmetric coupling, Physica A 386 (2007) 469-480.
    • (2007) Physica A , vol.386 , pp. 469-480
    • Wu, J.S.1    Jiao, L.C.2
  • 11
    • 44849087645 scopus 로고    scopus 로고
    • Passivity analysis and passification of discrete-time hybrid systems
    • DOI 10.1109/TAC.2008.919564
    • A. Bemporad, G. Bianchini, F. Brogi, Dissipativity analysis and pacification of discrete-time hybrid systems, IEEE Trans. Autom. Control 53 (4) (2008) 1004-1009. (Pubitemid 351795860)
    • (2008) IEEE Transactions on Automatic Control , vol.53 , Issue.4 , pp. 1004-1009
    • Bemporad, A.1    Bianchini, G.2    Brogi, F.3
  • 14
    • 33947427956 scopus 로고    scopus 로고
    • Further improvement of free-weighting matrices technique for systems with time-varying delay
    • DOI 10.1109/TAC.2006.887907
    • Y. He, Q.G. Wang, L Xie, C. Lin, Further improvement of free-weighting matrices technique for systems with time-varying delay, IEEE Trans. Autom. Control 52 (2) (2007) 293-299. (Pubitemid 46444284)
    • (2007) IEEE Transactions on Automatic Control , vol.52 , Issue.2 , pp. 293-299
    • He, Y.1    Wang, Q.-G.2    Xie, L.3    Lin, C.4
  • 15
    • 49749140780 scopus 로고    scopus 로고
    • Delay-range-dependent robust stability and stabilization for uncertain systems with time-varying delay
    • T. Li, L. Guo, Y. Zhang, Delay-range-dependent robust stability and stabilization for uncertain systems with time-varying delay, Int. J. Robust Nonlinear Control 18 (2008) 1372-1387.
    • (2008) Int. J. Robust Nonlinear Control , vol.18 , pp. 1372-1387
    • Li, T.1    Guo, L.2    Zhang, Y.3
  • 16
    • 38849178924 scopus 로고    scopus 로고
    • An improved characterization of bounded realness for singular delay systems and its applications
    • DOI 10.1002/rnc.1215
    • S. Xu, J. Lam, Y. Zou, An improved characterization of bounded realness for singular delay systems and its applications, Int. J. Robust Nonlinear Control 18 (2008) 263-277. (Pubitemid 351192771)
    • (2008) International Journal of Robust and Nonlinear Control , vol.18 , Issue.3 , pp. 263-277
    • Xu, S.1    Lam, J.2    Zou, Y.3
  • 18
    • 0037215914 scopus 로고    scopus 로고
    • Robust Kalman filtering for continuous time-lag systems with jump parameters
    • M.S. Mahmoud, P. Shi, Robust Kalman filtering for continuous time-lag systems with jump parameters, IEEE Trans. Circuits Syst. I 50 (2003) 98-105.
    • (2003) IEEE Trans. Circuits Syst. I , vol.50 , pp. 98-105
    • Mahmoud, M.S.1    Shi, P.2
  • 19
    • 27944507807 scopus 로고    scopus 로고
    • Robust filtering for jumping systems with mode-dependent delays
    • DOI 10.1016/j.sigpro.2005.05.005, PII S0165168405001507
    • P. Shi, M.S. Mahmoud, S.K. Nguang, A. Ismail, Robust filtering for jumping systems with mode-dependent delays, J. Sign. Proces. 86 (1) (2006) 140-152. (Pubitemid 41681311)
    • (2006) Signal Processing , vol.86 , Issue.1 , pp. 140-152
    • Shi, P.1    Mahmoud, M.2    Nguang, S.K.3    Ismail, A.4
  • 20
    • 34648820255 scopus 로고    scopus 로고
    • ∞ control and filtering for uncertain Markovian jump systems with time-varying delays
    • DOI 10.1109/TCSI.2007.904640
    • ∞ control and filtering for uncertain Markovian jump systems with time-varying delays, IEEE Trans. Circuits Syst. I: Regul. Pap. 54 (9) (2007) 2070-2077. (Pubitemid 47456047)
    • (2007) IEEE Transactions on Circuits and Systems I: Regular Papers , vol.54 , Issue.9 , pp. 2070-2077
    • Xu, S.1    Lam, J.2    Mao, X.3
  • 21
    • 0035836301 scopus 로고    scopus 로고
    • ∞ control of jump linear systems with time-delay
    • ∞ control of jump linear systems with time-delay, Int. J. Control 74 (4) (2001) 329-340.
    • (2001) Int. J. Control , vol.74 , Issue.4 , pp. 329-340
    • Boukas, E.K.1    Liu, Z.K.2    Liu, G.X.3
  • 22
    • 0032205380 scopus 로고    scopus 로고
    • Stochastic stability and guaranteed cost control of discrete-time uncertain systems with markovian jumping parameters
    • E.K. Boukas, P. Shi, Stochastic stability and guaranteed cost control of discrete-time uncertain systems with Markovian jumping parameters, Int. J. Robust Nonlinear Control 8 (1998) 1155-1167. (Pubitemid 128632068)
    • (1998) International Journal of Robust and Nonlinear Control , vol.8 , Issue.13 , pp. 1155-1167
    • Boukas, E.-K.1    Shi, P.2
  • 23
    • 9944229619 scopus 로고    scopus 로고
    • Delay-dependent output feedback stabilization of Markovian jump system with time-delay
    • W.-H. Chen, Z.-H. Guan, X. Lu, Delay-dependent output feedback stabilization of Markovian jump system with time-delay, IEE Control Theory Appl. 151 (5) (2004) 561-566.
    • (2004) IEE Control Theory Appl. , vol.151 , Issue.5 , pp. 561-566
    • Chen, W.-H.1    Guan, Z.-H.2    Lu, X.3
  • 24
    • 0348041731 scopus 로고    scopus 로고
    • ∞ filtering for discrete-time linear systems with Markovian jumping parameters
    • ∞ filtering for discrete-time linear systems with Markovian jumping parameters, Int. J. Robust Nonlinear Control 13 (2003)1299-1316.
    • (2003) Int. J. Robust Nonlinear Control , vol.13 , pp. 1299-1316
    • De Souza, C.E.1    Fragoso, M.D.2
  • 25
    • 0031197472 scopus 로고    scopus 로고
    • A cone complementarity linearization algorithm for static output-feedback and related problems
    • PII S0018928697042797
    • L El Ghaoui, F. Oustry, A.M. Rami, A cone complementarity linearization algorithm for static output-feedback and related problems, IEEE Trans. Autom. Control 42 (8) (1997) 1171-1176. (Pubitemid 127760291)
    • (1997) IEEE Transactions on Automatic Control , vol.42 , Issue.8 , pp. 1171-1176
    • El Ghaoui, L.1    Oustry, F.2    AitRami, M.3
  • 26
    • 0037629903 scopus 로고    scopus 로고
    • ∞ control of time-delay systems with Markovian jump parameters
    • ∞ control of time-delay systems with Markovian jump parameters, Int. J. Robust Nonlinear Control 13 (2003) 755-784.
    • (2003) Int. J. Robust Nonlinear Control , vol.13 , pp. 755-784
    • Mahmoud, M.S.1    Shi, P.2
  • 28
    • 67049087643 scopus 로고    scopus 로고
    • ∞ control for uncertain discrete Markovian jump singular systems with mode-dependent time-delay
    • ∞ control for uncertain discrete Markovian jump singular systems with mode-dependent time-delay, Int. J. Robust Nonlinear Control 19 (2009) 965-985.
    • (2009) Int. J. Robust Nonlinear Control , vol.19 , pp. 965-985
    • Ma, S.1    Zhang, C.2
  • 29
    • 15244362027 scopus 로고    scopus 로고
    • ∞ control for uncertain discrete-time stochastic bilinear systems with Markovian switching
    • DOI 10.1002/rnc.981
    • ∞ control for uncertain discrete-time stochastic bilinear systems with Markovian switching, Int. J. Robust Nonlinear Control 15 (2005)201-217. (Pubitemid 40384287)
    • (2005) International Journal of Robust and Nonlinear Control , vol.15 , Issue.5 , pp. 201-217
    • Xu, S.1    Chen, T.2
  • 30
    • 52449120322 scopus 로고    scopus 로고
    • ∞ control of continuous-time infinite Markovian jump linear systems via LMI methods
    • ∞ control of continuous-time infinite Markovian jump linear systems via LMI methods, SIAM J. Control Optim. 47 (2) (2008) 950-974.
    • (2008) SIAM J. Control Optim. , vol.47 , Issue.2 , pp. 950-974
    • Todorov, M.G.1    Fragoso, M.D.2
  • 31
    • 67649207216 scopus 로고    scopus 로고
    • ∞ control for discrete-time Markovian jump linear systems with partly unknown transition probabilities
    • ∞ control for discrete-time Markovian jump linear systems with partly unknown transition probabilities, Int. J. Robust Nonlinear Control 19 (2009) 868-883.
    • (2009) Int. J. Robust Nonlinear Control , vol.19 , pp. 868-883
    • Zhang, L.1    Boukas, E.K.2
  • 32
    • 84870356903 scopus 로고    scopus 로고
    • A generalized approach to stabilization of linear interconnected time-delay systems
    • M.S. Mahmoud, Yuanqing Xia, A generalized approach to stabilization of linear interconnected time-delay systems, Asian J. Control 14 (6) (2012) 1539-1552.
    • (2012) Asian J. Control , vol.14 , Issue.6 , pp. 1539-1552
    • Mahmoud, M.S.1    Xia, Y.2
  • 33
    • 81855164606 scopus 로고    scopus 로고
    • Dissipativity analysis for singular systems with time-varying delays
    • Z.G. Wu, J.H. Park, H. Su, J. Chu, Dissipativity analysis for singular systems with time-varying delays, Appl. Math. Comput. 218 (8) (2011)4605-4613.
    • (2011) Appl. Math. Comput. , vol.218 , Issue.8 , pp. 4605-4613
    • Wu, Z.G.1    Park, J.H.2    Su, H.3    Chu, J.4
  • 34
    • 79960843317 scopus 로고    scopus 로고
    • Observer synthesis method for lipschitz nonlinear discrete-time systems with time-delay: An LMI approach
    • A Zemouche, M. Boutaye, Observer synthesis method for Lipschitz nonlinear discrete-time systems with time-delay: an LMI approach, Appl. Math. Comput. 218 (13) (2011) 419-429.
    • (2011) Appl. Math. Comput. , vol.218 , Issue.13 , pp. 419-429
    • Zemouche, A.1    Boutaye, M.2
  • 35
    • 84862776562 scopus 로고    scopus 로고
    • Admissibility and dissipativity analysis for discrete-time singular systems with mixed time-varying delays
    • Z.G. Wu, J.H. Park, H. Su, J. Chu, Admissibility and dissipativity analysis for discrete-time singular systems with mixed time-varying delays, Appl. Math. Comput. 218 (13) (2012) 7128-7138.
    • (2012) Appl. Math. Comput. , vol.218 , Issue.13 , pp. 7128-7138
    • Wu, Z.G.1    Park, J.H.2    Su, H.3    Chu, J.4
  • 36
    • 84863986721 scopus 로고    scopus 로고
    • Robust dissipativity analysis of neural networks with time-varying delay and randomly occurring uncertainties
    • Z.G. Wu, J.H. Park, H. Su, J. Chu, Robust dissipativity analysis of neural networks with time-varying delay and randomly occurring uncertainties, Nonlinear Dyn. 69 (3) (2012) 1323-1332.
    • (2012) Nonlinear Dyn. , vol.69 , Issue.3 , pp. 1323-1332
    • Wu, Z.G.1    Park, J.H.2    Su, H.3    Chu, J.4
  • 37
    • 84867896227 scopus 로고    scopus 로고
    • Dissipativity analysis of stochastic neural networks with time delays
    • Z.G. Wu, J.H. Park, H. Su, J. Chu, Dissipativity analysis of stochastic neural networks with time delays, Nonlinear Dyn. 70 (1) (2012) 825-839.
    • (2012) Nonlinear Dyn. , vol.70 , Issue.1 , pp. 825-839
    • Wu, Z.G.1    Park, J.H.2    Su, H.3    Chu, J.4
  • 38
    • 84871209067 scopus 로고    scopus 로고
    • Iterative solution to linear matrix inequality arising from time delay descriptor systems
    • O, Wang, P. Xu, E.Y. Lam, N. Wong, Iterative solution to linear matrix inequality arising from time delay descriptor systems, Appl. Math. Comput. 219 (9) (2012) 4176-4184.
    • (2012) Appl. Math. Comput. , vol.219 , Issue.9 , pp. 4176-4184
    • Wang, O.1    Xu, P.2    Lam, E.Y.3    Wong, N.4
  • 39
    • 84870063150 scopus 로고    scopus 로고
    • BIBO stabilization of feedback control systems with time dependent delays
    • E. Awwad, I. Gyori, F. Härtung, BIBO stabilization of feedback control systems with time dependent delays, Appl. Math. Comput. 219 (8) (2012) 3664-3676.
    • (2012) Appl. Math. Comput. , vol.219 , Issue.8 , pp. 3664-3676
    • Awwad, E.1    Gyori, I.2    Härtung, F.3
  • 41
    • 84862815769 scopus 로고    scopus 로고
    • Passivity based control for uncertain stochastic jumping systems with mode-dependent round-trip time delays
    • H. Shen, S. Xu, J. Lu, J. Zhou, Passivity based control for uncertain stochastic jumping systems with mode-dependent round-trip time delays, J. Franklin Inst. 349 (5) (2012) 1665-1680.
    • (2012) J. Franklin Inst. , vol.349 , Issue.5 , pp. 1665-1680
    • Shen, H.1    Xu, S.2    Lu, J.3    Zhou, J.4
  • 42
    • 84856689690 scopus 로고    scopus 로고
    • Passivity-based control for Markovian jump systems via retarded output feedback
    • H. Shen, S. Xu, X. Song, Passivity-based control for Markovian jump systems via retarded output feedback, Circuits Syst. Sign. Proces. 31 (1) (2012) 189-202.
    • (2012) Circuits Syst. Sign. Proces. , vol.31 , Issue.1 , pp. 189-202
    • Shen, H.1    Xu, S.2    Song, X.3


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