메뉴 건너뛰기




Volumn 323, Issue 2, 2006, Pages 1430-1443

Finite time stability and stabilization of a class of continuous systems

Author keywords

Control Lyapunov function; Finite time stability; Finite time stabilization; Lyapunov functions

Indexed keywords


EID: 33751079336     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2005.11.046     Document Type: Article
Times cited : (432)

References (21)
  • 1
    • 0000166837 scopus 로고
    • Stability of motion: General problem
    • (Lyapunov centenary issue)
    • Lyapunov A.M. Stability of motion: General problem. Internat. J. Control 55 3 (1992) 520-790 (Lyapunov centenary issue)
    • (1992) Internat. J. Control , vol.55 , Issue.3 , pp. 520-790
    • Lyapunov, A.M.1
  • 2
    • 0038034164 scopus 로고    scopus 로고
    • Higher-order sliding mode stabilization for a class of nonholonomic perturbed systems
    • Floquet T., Barbot J.P., and Perruquetti W. Higher-order sliding mode stabilization for a class of nonholonomic perturbed systems. Automatica J. IFAC 39 6 (2003) 1077-1083
    • (2003) Automatica J. IFAC , vol.39 , Issue.6 , pp. 1077-1083
    • Floquet, T.1    Barbot, J.P.2    Perruquetti, W.3
  • 4
    • 0022751616 scopus 로고
    • Finite time controllers
    • Haimo V.T. Finite time controllers. SIAM J. Control Optim. 24 4 (1986) 760-770
    • (1986) SIAM J. Control Optim. , vol.24 , Issue.4 , pp. 760-770
    • Haimo, V.T.1
  • 5
    • 0000761428 scopus 로고    scopus 로고
    • Finite time stability of continuous autonomous systems
    • Bhat S.P., and Bernstein D.S. Finite time stability of continuous autonomous systems. SIAM J. Control Optim. 38 3 (2000) 751-766
    • (2000) SIAM J. Control Optim. , vol.38 , Issue.3 , pp. 751-766
    • Bhat, S.P.1    Bernstein, D.S.2
  • 6
    • 0037162403 scopus 로고    scopus 로고
    • Finite-time stabilization and stabilizability of a class of controllable systems
    • Hong Y. Finite-time stabilization and stabilizability of a class of controllable systems. Systems Control Lett. 46 (2002) 231-236
    • (2002) Systems Control Lett. , vol.46 , pp. 231-236
    • Hong, Y.1
  • 7
    • 0037162417 scopus 로고    scopus 로고
    • Finite-time control for robot manipulators
    • Hong Y., Xu Y., and Huang J. Finite-time control for robot manipulators. Systems Control Lett. 46 (2002) 243-253
    • (2002) Systems Control Lett. , vol.46 , pp. 243-253
    • Hong, Y.1    Xu, Y.2    Huang, J.3
  • 8
    • 0034438725 scopus 로고    scopus 로고
    • W. Perruquetti, S. Drakunov, Finite time stability and stabilisation, in: IEEE Conference on Decision and Control, Sydney, Australia, 2000
  • 9
    • 0024717674 scopus 로고
    • A universal construction of Arststein's theorem on nonlinear stabilization
    • Sontag E. A universal construction of Arststein's theorem on nonlinear stabilization. Systems Control Lett. 13 (1989) 117-123
    • (1989) Systems Control Lett. , vol.13 , pp. 117-123
    • Sontag, E.1
  • 10
    • 0346939254 scopus 로고
    • Uniqueness and Nonuniqueness Criteria for Ordinary Differential Equations
    • World Scientific, Singapore
    • Agarwal R.P., and Lakshmikantham V. Uniqueness and Nonuniqueness Criteria for Ordinary Differential Equations. Ser. Real Anal. vol. 6 (1993), World Scientific, Singapore
    • (1993) Ser. Real Anal. , vol.6
    • Agarwal, R.P.1    Lakshmikantham, V.2
  • 12
    • 0024607453 scopus 로고
    • Stabilization of nonlinear systems in the plane
    • Kawski M. Stabilization of nonlinear systems in the plane. Systems Control Lett. 12 (1989) 169-175
    • (1989) Systems Control Lett. , vol.12 , pp. 169-175
    • Kawski, M.1
  • 13
    • 0002585302 scopus 로고
    • On the inversion of Lyapunov's second theorem on stability of motion
    • Kurzweil J. On the inversion of Lyapunov's second theorem on stability of motion. Amer. Math. Soc. Transl. 24 (1963) 19-77
    • (1963) Amer. Math. Soc. Transl. , vol.24 , pp. 19-77
    • Kurzweil, J.1
  • 16
    • 0034426073 scopus 로고    scopus 로고
    • A smooth Lyapunov function from a class-KL estimate involving two positive semidefinite functions
    • Teel A.R., and Praly L. A smooth Lyapunov function from a class-KL estimate involving two positive semidefinite functions. ESAIM Control Optim. Calc. Var. 5 (2000) 313-367
    • (2000) ESAIM Control Optim. Calc. Var. , vol.5 , pp. 313-367
    • Teel, A.R.1    Praly, L.2
  • 17
    • 1542289139 scopus 로고    scopus 로고
    • E. Moulay, W. Perruquetti, Finite time stability of nonlinear systems, in: IEEE Conference on Decision and Control, Hawaii, USA, 2003, pp. 3641-3646
  • 18
    • 0020848962 scopus 로고
    • Stabilization with relaxed controls
    • Artstein Z. Stabilization with relaxed controls. Nonlinear Anal. 7 11 (1983) 1163-1173
    • (1983) Nonlinear Anal. , vol.7 , Issue.11 , pp. 1163-1173
    • Artstein, Z.1
  • 19
    • 0001232090 scopus 로고
    • Continuous selections
    • Mickael E. Continuous selections. Anal. Math. 63 2 (1956) 361-382
    • (1956) Anal. Math. , vol.63 , Issue.2 , pp. 361-382
    • Mickael, E.1
  • 21
    • 0030368266 scopus 로고    scopus 로고
    • S.P. Bhat, D. Bernstein, Continuous, bounded, finite-time stabilization of the translational and rotational double integrator, in: IEEE Conference on Control Applications, Dearborn, MI, 1996, pp. 185-190


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.