메뉴 건너뛰기




Volumn 39, Issue 1, 2000, Pages 25-48

Feedback stabilization and Lyapunov functions

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CONTROLLABILITY; CONVERGENCE OF NUMERICAL METHODS; HEURISTIC METHODS; INTEGRAL EQUATIONS; LYAPUNOV METHODS; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; ROBUSTNESS (CONTROL SYSTEMS); SAMPLING; STATE FEEDBACK;

EID: 0034458934     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0363012999352297     Document Type: Article
Times cited : (131)

References (33)
  • 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
  • 3
    • 0031630384 scopus 로고    scopus 로고
    • Lyapunov and Lagrange stability: Inverse theorems for discontinuous systems
    • A. BACCIOTTI AND L. ROSIER, Lyapunov and Lagrange stability: Inverse theorems for discontinuous systems, Math. Control Signals Systems, 11 (1998), pp. 101-128.
    • (1998) Math. Control Signals Systems , vol.11 , pp. 101-128
    • Bacciotti, A.1    Rosier, L.2
  • 4
    • 0001215663 scopus 로고
    • Asymptotic stability and feedback stabilization
    • R. W. Brockett, R. S. Millmann, and H. J. Sussmann, eds., Birkhäuser, Basel, Boston
    • R. W. BROCKETT, Asymptotic stability and feedback stabilization, in Differential Geometric Control Theory, R. W. Brockett, R. S. Millmann, and H. J. Sussmann, eds., Birkhäuser, Basel, Boston, 1983, pp. 181-191.
    • (1983) Differential Geometric Control Theory , pp. 181-191
    • Brockett, R.W.1
  • 6
    • 0011729922 scopus 로고
    • SIAM, Philadelphia, PA
    • F. H. CLARKE, Optimization and Nonsmooth Analysis, Wiley-Interscience, New York; reprinted as Classics Appl. Math. 5, SIAM, Philadelphia, PA, 1990.
    • (1990) Classics Appl. Math. , vol.5
  • 11
    • 0031098308 scopus 로고    scopus 로고
    • The synthesis of universal feedback pursuit strategies in differential games
    • F. H. CLARKE, YU. S. LEDYAEV, AND A. I. SUBBOTIN, The synthesis of universal feedback pursuit strategies in differential games, SIAM J. Control Optim., 35 (1997), pp. 552-561.
    • (1997) SIAM J. Control Optim. , vol.35 , pp. 552-561
    • Clarke, F.H.1    Ledyaev, Yu.S.2    Subbotin, A.I.3
  • 12
    • 0026626117 scopus 로고
    • Global asymptotic stabilization for controllable systems without drift
    • J.-M. CORON, Global asymptotic stabilization for controllable systems without drift, Math. Control Signals Systems, 5 (1992), pp. 295-312.
    • (1992) Math. Control Signals Systems , vol.5 , pp. 295-312
    • Coron, J.-M.1
  • 13
    • 0001921646 scopus 로고
    • A relation between continuous time-varying and discontinuous feedback stabilization
    • J.-M. CORON AND L. ROSIER, A relation between continuous time-varying and discontinuous feedback stabilization, J. Math. Systems Estim. Control, 4 (1994), pp. 67-84.
    • (1994) J. Math. Systems Estim. Control , vol.4 , pp. 67-84
    • Coron, J.-M.1    Rosier, L.2
  • 14
    • 0002272612 scopus 로고
    • Feedback stabilization of nonlinear systems: Sufficient conditions and Lyapunov and input-output techniques
    • A. Isidori, ed., Springer-Verlag, New York
    • J.-M. CORON, L. PRALY, AND A. TEEL, Feedback stabilization of nonlinear systems: Sufficient conditions and Lyapunov and input-output techniques, in Trends in Control, A. Isidori, ed., Springer-Verlag, New York, 1995, pp. 293-348.
    • (1995) Trends in Control , pp. 293-348
    • Coron, J.-M.1    Praly, L.2    Teel, A.3
  • 17
    • 0002702923 scopus 로고
    • Discontinuous vector fields and feedback control
    • J. P. LaSalle, ed., Academic Press, New York
    • H. HERMES, Discontinuous vector fields and feedback control, in Differential Equations and Dynamic Systems, J. P. LaSalle, ed., Academic Press, New York, 1967, pp. 155-165.
    • (1967) Differential Equations and Dynamic Systems , pp. 155-165
    • Hermes, H.1
  • 18
    • 0029764262 scopus 로고    scopus 로고
    • Resonance, stabilizing feedback controls, and regularity of viscosity solutions of Hamilton-Jacobi-Bellmann equations
    • H. HERMES, Resonance, stabilizing feedback controls, and regularity of viscosity solutions of Hamilton-Jacobi-Bellmann equations, Math. Control Signals Systems, 9 (1996), pp. 59-72.
    • (1996) Math. Control Signals Systems , vol.9 , pp. 59-72
    • Hermes, H.1
  • 22
    • 0033197348 scopus 로고    scopus 로고
    • A Lyapunov characterization of robust stabilization
    • YU. S. LEDYAEV AND E. D. SONTAG, A Lyapunov characterization of robust stabilization, Nonlinear Anal., 37 (1999), pp. 813-840.
    • (1999) Nonlinear Anal. , vol.37 , pp. 813-840
    • Ledyaev, Yu.S.1    Sontag, E.D.2
  • 23
  • 24
    • 0000757701 scopus 로고
    • One approach to the control of uncertain dynamical systems
    • G. LEITMANN, One approach to the control of uncertain dynamical systems, Appl. Math. Comput., 70 (1995), pp. 261-272.
    • (1995) Appl. Math. Comput. , vol.70 , pp. 261-272
    • Leitmann, G.1
  • 25
    • 0029775547 scopus 로고    scopus 로고
    • A smooth converse Lyapunov theorem for robust stability
    • Y. LIN, E. D. SONTAG, AND Y. WANG, A smooth converse Lyapunov theorem for robust stability, SIAM J. Control Optim., 34 (1996), pp. 124-160.
    • (1996) SIAM J. Control Optim. , vol.34 , pp. 124-160
    • Lin, Y.1    Sontag, E.D.2    Wang, Y.3
  • 26
    • 0028539994 scopus 로고
    • On Brockett's condition for smooth stabilizability and its necessity in a context of nonsmooth feedback
    • E. P. RYAN, On Brockett's condition for smooth stabilizability and its necessity in a context of nonsmooth feedback, SIAM J. Control Optim., 32 (1994), pp. 1597-1604.
    • (1994) SIAM J. Control Optim. , vol.32 , pp. 1597-1604
    • Ryan, E.P.1
  • 27
    • 0020749108 scopus 로고
    • A Lyapunov-like characterization of asymptotic controllability
    • E. D. 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.D.1
  • 28
    • 0003280073 scopus 로고
    • Mathematical Control Theory
    • Springer-Verlag, New York
    • E. D. SONTAG, Mathematical Control Theory, Texts in Appl. Math. 6, Springer-Verlag, New York, 1990.
    • (1990) Texts in Appl. Math. , vol.6
    • Sontag, E.D.1
  • 29
    • 0029342141 scopus 로고
    • Control of systems without drift via generic loops
    • E. D. SONTAG, Control of systems without drift via generic loops, IEEE Trans. Automat. Control, 40 (1995), pp. 1210-1219.
    • (1995) IEEE Trans. Automat. Control , vol.40 , pp. 1210-1219
    • Sontag, E.D.1
  • 33
    • 0024943237 scopus 로고
    • A Lyapunov description of stability in control systems
    • J. TSINIAS, A Lyapunov description of stability in control systems, Nonlinear Anal., 13 (1989), pp. 3-74.
    • (1989) Nonlinear Anal. , vol.13 , pp. 3-74
    • Tsinias, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.