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Volumn 54, Issue 10, 2009, Pages 2421-2425

Lyapunov functions, stability and input-to-state stability subtleties for discrete-time discontinuous systems

Author keywords

Discontinuous systems; Discrete time; Input to state stability; Lyapunov methods; Stability

Indexed keywords

DISCONTINUOUS SYSTEMS; DISCRETE-TIME; INPUT-TO-STATE STABILITY; LYAPUNOV; METHOD OF LYAPUNOV; STABILITY ANALYSIS; STABILITY PROPERTIES;

EID: 70350345554     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2009.2029297     Document Type: Article
Times cited : (64)

References (22)
  • 1
    • 0019559589 scopus 로고
    • Nonlinear regulation: The piecewise linear approach
    • Apr
    • E. D. Sontag, "Nonlinear regulation: The piecewise linear approach," IEEE Trans. Autom. Control, vol. AC-26, no. 2, pp. 346-357, Apr. 1981.
    • (1981) IEEE Trans. Autom. Control , vol.AC-26 , Issue.2 , pp. 346-357
    • Sontag, E.D.1
  • 2
    • 0035400417 scopus 로고    scopus 로고
    • Equivalence of hybrid dynamical models
    • W. P. M. H. Heemels, B. De Schutter, and A. Bemporad, "Equivalence of hybrid dynamical models," Automatica, vol. 37, pp. 1085-1091, 2001.
    • (2001) Automatica , vol.37 , pp. 1085-1091
    • Heemels, W.P.M.H.1    De Schutter, B.2    Bemporad, A.3
  • 4
  • 5
    • 0036888056 scopus 로고    scopus 로고
    • Analysis of discrete-time piecewise affine and hybrid systems
    • G. Ferrari-Trecate, F. A. Cuzzola, D. Mignone, and M. Morari, "Analysis of discrete-time piecewise affine and hybrid systems," Automatica vol. 38, no. 12, pp. 2139-2146, 2002.
    • (2002) Automatica , vol.38 , Issue.12 , pp. 2139-2146
    • Ferrari-Trecate, G.1    Cuzzola, F.A.2    Mignone, D.3    Morari, M.4
  • 6
    • 0036646909 scopus 로고    scopus 로고
    • Stability analysis of piecewise discrete-time linear systems
    • Jul
    • G. Feng, "Stability analysis of piecewise discrete-time linear systems," IEEE Trans. Autom. Control, vol. 47, no. 7, pp. 1108-1112, Jul. 2002.
    • (2002) IEEE Trans. Autom. Control , vol.47 , Issue.7 , pp. 1108-1112
    • Feng, G.1
  • 7
    • 0036857323 scopus 로고    scopus 로고
    • Stability analysis and control synthesis for switched systems: A switched Lyapunov function approach
    • Nov
    • J. Daafouz, P. Riedinger, and C. Iung, "Stability analysis and control synthesis for switched systems: A switched Lyapunov function approach," IEEE Trans. Autom. Control, vol. 47, no. 11, pp. 1883-1887, Nov. 2002.
    • (2002) IEEE Trans. Autom. Control , vol.47 , Issue.11 , pp. 1883-1887
    • Daafouz, J.1    Riedinger, P.2    Iung, C.3
  • 9
    • 23744493142 scopus 로고    scopus 로고
    • Stabilizing low complexity feedback control of constrained piecewise affine systems
    • P. Grieder, M. Kvasnica, M. Baotic, and M. Morari, "Stabilizing low complexity feedback control of constrained piecewise affine systems," Automatica, vol. 41, no. 10, pp. 1683-1694, 2005.
    • (2005) Automatica , vol.41 , Issue.10 , pp. 1683-1694
    • Grieder, P.1    Kvasnica, M.2    Baotic, M.3    Morari, M.4
  • 10
    • 36249028476 scopus 로고    scopus 로고
    • Stabilizing model predictive control of hybrid systems
    • Nov
    • M. Lazar,W. P.M. H. Heemels, S.Weiland, and A. Bemporad, "Stabilizing model predictive control of hybrid systems," IEEE Trans. Autom. Control, vol. 51, no. 11, pp. 1813-1818, Nov. 2006.
    • (2006) IEEE Trans. Autom. Control , vol.51 , Issue.11 , pp. 1813-1818
    • Lazar, M.1    Heemels, W.P.M.H.2    Weiland, S.3    Bemporad, A.4
  • 11
    • 33845764835 scopus 로고    scopus 로고
    • Constrained optimal control of hybrid systems with a linear performance index
    • Dec
    • M. Baotic, F. J. Christophersen, and M. Morari, "Constrained optimal control of hybrid systems with a linear performance index," IEEE Trans. Autom. Control, vol. 51, no. 12, pp. 1903-1919, Dec. 2006.
    • (2006) IEEE Trans. Autom. Control , vol.51 , Issue.12 , pp. 1903-1919
    • Baotic, M.1    Christophersen, F.J.2    Morari, M.3
  • 12
    • 84987438982 scopus 로고
    • Control system analysis and design via the second method of Lyapunov, II: Discrete-time systems
    • R. E. Kalman and J. E. Bertram, "Control system analysis and design via the second method of Lyapunov, II: Discrete-time systems," Trans. ASME, J. Basic Eng., vol. 82, pp. 394-400, 1960.
    • (1960) Trans. ASME, J. Basic Eng , vol.82 , pp. 394-400
    • Kalman, R.E.1    Bertram, J.E.2
  • 13
    • 0035370502 scopus 로고    scopus 로고
    • Input-to-state stability for discrete-time nonlinear systems
    • Z.-P. Jiang and Y.Wang, "Input-to-state stability for discrete-time nonlinear systems," Automatica, vol. 37, pp. 857-869, 2001.
    • (2001) Automatica , vol.37 , pp. 857-869
    • Jiang, Z.-P.1    Wang, Y.2
  • 14
    • 3042731389 scopus 로고    scopus 로고
    • Smooth Lyapunov functions and robustness of stability for difference inclusions
    • C. M. Kellett and A. R. Teel, "Smooth Lyapunov functions and robustness of stability for difference inclusions," Syst. Control Lett., vol. 52, pp. 395-405, 2004.
    • (2004) Syst. Control Lett , vol.52 , pp. 395-405
    • Kellett, C.M.1    Teel, A.R.2
  • 15
    • 3843074172 scopus 로고    scopus 로고
    • Examples when nonlinear model predictive control is nonrobust
    • G. Grimm, M. J. Messina, S. E. Tuna, and A. R. Teel, "Examples when nonlinear model predictive control is nonrobust," Automatica, vol. 40, no. 10, pp. 1729-1738, 2004.
    • (2004) Automatica , vol.40 , Issue.10 , pp. 1729-1738
    • Grimm, G.1    Messina, M.J.2    Tuna, S.E.3    Teel, A.R.4
  • 16
    • 0025419843 scopus 로고
    • Further facts about input to state stabilization
    • Apr
    • E. D. Sontag, "Further facts about input to state stabilization," IEEE Trans. Autom. Control, vol. AC-35, no. 4, pp. 473-476, Apr. 1990.
    • (1990) IEEE Trans. Autom. Control , vol.AC-35 , Issue.4 , pp. 473-476
    • Sontag, E.D.1
  • 17
    • 36048930110 scopus 로고    scopus 로고
    • On input-to-state stability of min-max nonlinear model predictive control
    • M. Lazar, D. Muñoz de la Peña, W. P. M. H. Heemels, and T. Alamo, "On input-to-state stability of min-max nonlinear model predictive control," Syst. Control Lett., vol. 57, pp. 39-48, 2008.
    • (2008) Syst. Control Lett , vol.57 , pp. 39-48
    • Lazar, M.1    Muñoz de la Peña, D.2    Heemels, W.P.M.H.3    Alamo, T.4
  • 18
    • 33751462089 scopus 로고    scopus 로고
    • Model Predictive Control of Hybrid Systems: Stability and Robustness,
    • Ph.D. dissertation, Eindhoven Univ. Technol, Eindhoven, The Netherlands
    • M. Lazar, "Model Predictive Control of Hybrid Systems: Stability and Robustness," Ph.D. dissertation, Eindhoven Univ. Technol., Eindhoven, The Netherlands, 2006.
    • (2006)
    • Lazar, M.1
  • 19
    • 56349113272 scopus 로고    scopus 로고
    • Input-to-state stability and interconnections of discontinuous dynamical systems
    • W. P. M. H. Heemels and S. Weiland, "Input-to-state stability and interconnections of discontinuous dynamical systems," Automatica, vol. 44, pp. 3079-3086, 2008.
    • (2008) Automatica , vol.44 , pp. 3079-3086
    • Heemels, W.P.M.H.1    Weiland, S.2
  • 20
    • 0000676927 scopus 로고    scopus 로고
    • D. Ne.sić, A. R. Teel, and P. V. Kokotović, Sufficient conditions for the stabilization of sampled-data nonlinear systems via discrete-time approximations, Syst. Control Lett., 38, no. 4-5, pp. 259-270, 1999.
    • D. Ne.sić, A. R. Teel, and P. V. Kokotović, "Sufficient conditions for the stabilization of sampled-data nonlinear systems via discrete-time approximations," Syst. Control Lett., vol. 38, no. 4-5, pp. 259-270, 1999.
  • 21
    • 45249096257 scopus 로고    scopus 로고
    • Global input-to-state stability and stabilization of discrete-time piece-wise affine systems
    • M. Lazar and W. P. M. H. Heemels, "Global input-to-state stability and stabilization of discrete-time piece-wise affine systems," Nonlin. Anal.: Hybrid Syst., vol. 2, pp. 721-734, 2008.
    • (2008) Nonlin. Anal.: Hybrid Syst , vol.2 , pp. 721-734
    • Lazar, M.1    Heemels, W.P.M.H.2
  • 22
    • 57949083845 scopus 로고    scopus 로고
    • Predictive control of hybrid systems: Input-to-state stability results for sub-optimal solutions
    • M. Lazar and W. P. M. H. Heemels, "Predictive control of hybrid systems: Input-to-state stability results for sub-optimal solutions," Automatica, vol. 45, no. 1, pp. 180-185, 2009.
    • (2009) Automatica , vol.45 , Issue.1 , pp. 180-185
    • Lazar, M.1    Heemels, W.P.M.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.