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Volumn 42, Issue 6, 2004, Pages 2221-2238

Global asymptotic controllability implies input-to-state stabilization

Author keywords

Asymptotic controllability; Input to state stability; Lyapunov functions; Nonsmooth analysis

Indexed keywords

ASYMPTOTIC CONTROLLABILITY; INPUT-TO-STATE STABILITY; LYAPUNOV FUNCTION; NONSMOOTH ANALYSIS;

EID: 10244242681     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0363012903422333     Document Type: Review
Times cited : (44)

References (26)
  • 1
    • 0020848962 scopus 로고
    • Stabilization with relaxed controls
    • Z. ARTSTEIN, Stabilization with relaxed controls, Nonlinear Anal., 7 (1983), pp. 1163-1173.
    • (1983) Nonlinear Anal. , vol.7 , pp. 1163-1173
    • Artstein, Z.1
  • 2
    • 0034259137 scopus 로고    scopus 로고
    • p input to state stabilizability of affine in control, nonlinear systems subject to actuator saturation
    • p input to state stabilizability of affine in control, nonlinear systems subject to actuator saturation, J. Franklin Inst., 337 (2000), pp. 691-712.
    • (2000) J. Franklin Inst. , vol.337 , pp. 691-712
    • Bao, X.1    Lin, Z.2
  • 3
    • 0001215663 scopus 로고
    • Asymptotic stability and feedback stabilization
    • R. Brockett, R. Millman, and H. Sussmann, eds., Birkhäuser, Boston
    • R. BROCKETT, Asymptotic stability and feedback stabilization, in Differential Geometric Control Theory, R. Brockett, R. Millman, and H. Sussmann, eds., Birkhäuser, Boston, 1983, pp. 181-191.
    • (1983) Differential Geometric Control Theory , pp. 181-191
    • Brockett, R.1
  • 4
    • 0035693709 scopus 로고    scopus 로고
    • p stabilization of the double integrator subject to input saturation
    • p stabilization of the double integrator subject to input saturation, ESAIM Control Optim. Calc. Var., 6 (2001), pp. 291-331.
    • (2001) ESAIM Control Optim. Calc. Var. , vol.6 , pp. 291-331
    • Chitour, Y.1
  • 5
    • 0029356582 scopus 로고
    • On the continuity and incremental-gain properties of certain saturated linear feedback loops
    • Y. CHITOUR, W. LIU, AND E. SONTAG, On the continuity and incremental-gain properties of certain saturated linear feedback loops, Internat. J. Robust Nonlinear Control, 5 (1995), pp. 413-440.
    • (1995) Internat. J. Robust Nonlinear Control , vol.5 , pp. 413-440
    • Chitour, Y.1    Liu, W.2    Sontag, E.3
  • 7
    • 0030191874 scopus 로고    scopus 로고
    • Inverse optimality in robust stabilization
    • R. FREEMAN AND P. KOKOTOVIĆ, Inverse optimality in robust stabilization, SIAM J. Control Optim., 34 (1996), pp. 1365-1391.
    • (1996) SIAM J. Control Optim. , vol.34 , pp. 1365-1391
    • Freeman, R.1    Kokotović, P.2
  • 9
    • 0032026987 scopus 로고    scopus 로고
    • Inverse optimal design of input-to-state stabilizing nonlinear controllers
    • M. KRSTIĆ AND Z. LI, Inverse optimal design of input-to-state stabilizing nonlinear controllers, IEEE Trans. Automat. Control, 43 (1998), pp. 336-350.
    • (1998) IEEE Trans. Automat. Control , vol.43 , pp. 336-350
    • Krstić, M.1    Li, Z.2
  • 11
    • 0033197348 scopus 로고    scopus 로고
    • A Lyapunov characterization of robust stabilization
    • Y. LEDYAEV AND E. SONTAG, A Lyapunov characterization of robust stabilization, Nonlinear Anal., 37 (1999), pp. 813-840.
    • (1999) Nonlinear Anal. , vol.37 , pp. 813-840
    • Ledyaev, Y.1    Sontag, E.2
  • 12
    • 0037076843 scopus 로고    scopus 로고
    • Universal construction of feedback laws achieving ISS and integral-ISS disturbance attenuation
    • D. LIBERZON, E. SONTAG, AND Y. WANG, Universal construction of feedback laws achieving ISS and integral-ISS disturbance attenuation, Systems Control Lett., 46 (2002), pp. 111-127.
    • (2002) Systems Control Lett. , vol.46 , pp. 111-127
    • Liberzon, D.1    Sontag, E.2    Wang, Y.3
  • 13
    • 0031192976 scopus 로고    scopus 로고
    • ∞-almost disturbance decoupling with internal stability for linear systems subject to input saturation
    • ∞-almost disturbance decoupling with internal stability for linear systems subject to input saturation, IEEE Trans. Automat. Control, 42 (1997), pp. 992-995.
    • (1997) IEEE Trans. Automat. Control , vol.42 , pp. 992-995
    • Lin, Z.1
  • 14
    • 0030192731 scopus 로고    scopus 로고
    • On finite-gain stabilizability of linear systems subject to input saturation
    • W. LIU, Y. CHITOUR, AND E. SONTAG, On finite-gain stabilizability of linear systems subject to input saturation, SIAM J. Control Optim., 34 (1996), pp. 1190-1219.
    • (1996) SIAM J. Control Optim. , vol.34 , pp. 1190-1219
    • Liu, W.1    Chitour, Y.2    Sontag, E.3
  • 15
    • 0029726983 scopus 로고    scopus 로고
    • Stabilization in spite of matched unmodelled dynamics and an equivalent definition of input-to-state stability
    • L. PRALY AND Y. WANG, Stabilization in spite of matched unmodelled dynamics and an equivalent definition of input-to-state stability, Math. Control Signals Systems, 9 (1996), pp. 1-33.
    • (1996) Math. Control Signals Systems , vol.9 , pp. 1-33
    • Praly, L.1    Wang, Y.2
  • 16
    • 0034433016 scopus 로고    scopus 로고
    • Existence of Lipschitz and semiconcave control-Lyapunov functions
    • L. RIFFORD, Existence of Lipschitz and semiconcave control-Lyapunov functions, SIAM J. Control Optim., 39 (2000), pp. 1043-1064.
    • (2000) SIAM J. Control Optim. , vol.39 , pp. 1043-1064
    • Rifford, L.1
  • 17
    • 0038537294 scopus 로고    scopus 로고
    • Semiconcave control-Lyapunov functions and stabilizing feedbacks
    • L. RIFFORD, Semiconcave control-Lyapunov functions and stabilizing feedbacks, SIAM J. Control Optim., 41 (2002), pp. 659-681.
    • (2002) SIAM J. Control Optim. , vol.41 , pp. 659-681
    • Rifford, L.1
  • 18
    • 0020749108 scopus 로고
    • A Lyapunov-like characterization of asymptotic controllability
    • E. SONTAG, A Lyapunov-like characterization of asymptotic controllability, SIAM J. Control Optim., 21 (1983), pp. 462-471.
    • (1983) SIAM J. Control Optim. , vol.21 , pp. 462-471
    • Sontag, E.1
  • 19
    • 0024647058 scopus 로고
    • Smooth stabilization implies coprime factorization
    • E. SONTAG, Smooth stabilization implies coprime factorization, IEEE Trans. Automat. Control, 34 (1989), pp. 435-443.
    • (1989) IEEE Trans. Automat. Control , vol.34 , pp. 435-443
    • Sontag, E.1
  • 20
    • 0025419843 scopus 로고
    • Further facts about input to state stabilization
    • E. SONTAG, Further facts about input to state stabilization, IEEE Trans. Automat. Control, 35 (1990), pp. 473-476.
    • (1990) IEEE Trans. Automat. Control , vol.35 , pp. 473-476
    • Sontag, E.1
  • 21
    • 0003626635 scopus 로고    scopus 로고
    • Mathematical control theory, deterministic finite dimensional systems, 2nd ed.
    • Springer-Verlag, New York
    • E. SONTAG, Mathematical Control Theory, Deterministic Finite Dimensional Systems, 2nd ed., Texts Appl. Math. 6, Springer-Verlag, New York, 1998.
    • (1998) Texts Appl. Math. , vol.6
    • Sontag, E.1
  • 22
    • 0002415375 scopus 로고    scopus 로고
    • Stability and stabilization: Discontinuities and the effect of disturbances
    • F. Clarke and R. J. Stern, eds., Kluwer, Dordrecht, The Netherlands
    • E. SONTAG, Stability and stabilization: Discontinuities and the effect of disturbances, in Nonlinear Analysis, Differential Equations, and Control, F. Clarke and R. J. Stern, eds., Kluwer, Dordrecht, The Netherlands, 1999, pp. 551-598.
    • (1999) Nonlinear Analysis, Differential Equations, and Control , pp. 551-598
    • Sontag, E.1
  • 23
    • 0000454435 scopus 로고    scopus 로고
    • The ISS philosophy as a unifying framework for stability-like behavior
    • Lecture Notes in Control and Inform. Sci. 259, A. Isidori, F. Lamnabhi-Lagarrigue, and W. Respondek, eds., Springer-Verlag, London
    • E. SONTAG, The ISS philosophy as a unifying framework for stability-like behavior, in Nonlinear Control in the Year 2000, Vol. 2, Lecture Notes in Control and Inform. Sci. 259, A. Isidori, F. Lamnabhi-Lagarrigue, and W. Respondek, eds., Springer-Verlag, London, 2000, pp. 443-468.
    • (2000) Nonlinear Control in the Year 2000 , vol.2 , pp. 443-468
    • Sontag, E.1
  • 25
    • 0037110902 scopus 로고    scopus 로고
    • Brockett's stabilization condition under state constraints
    • R. STERN, Brockett's stabilization condition under state constraints, Systems Control Lett., 47 (2002), pp. 335-341.
    • (2002) Systems Control Lett. , vol.47 , pp. 335-341
    • Stern, R.1
  • 26
    • 0028712602 scopus 로고
    • A general result on the stabilization of linear systems using bounded controls
    • H. SUSSMANN, E. D. SONTAG, AND Y. YANG, A general result on the stabilization of linear systems using bounded controls, IEEE Trans. Automat. Control, 39 (1994), pp. 2411-2425.
    • (1994) IEEE Trans. Automat. Control , vol.39 , pp. 2411-2425
    • Sussmann, H.1    Sontag, E.D.2    Yang, Y.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.