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Volumn 30, Issue 8, 2009, Pages 1069-1075

Finite-time stability with respect to a closed invariant set for a class of discontinuous systems

Author keywords

Closed invariant set; Discontinuous system; Filippov solution; Finite time stability

Indexed keywords

CLOSED INVARIANT SET; DISCONTINUOUS SYSTEM; DISCONTINUOUS SYSTEMS; FILIPPOV SOLUTION; FILIPPOV SOLUTIONS; FINITE-TIME STABILITY; INVARIANT SET; LIPSCHITZ CONTINUOUS; LYAPUNOV THEOREMS; RIGHT-HAND SIDES;

EID: 68949220243     PISSN: 02534827     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10483-009-0814-y     Document Type: Article
Times cited : (6)

References (19)
  • 1
    • 49749205421 scopus 로고
    • On the stability of motion
    • V. M. Matrosov 1962 On the stability of motion J. Appl. Math. Mech. 26 1337 1353
    • (1962) J. Appl. Math. Mech. , vol.26 , pp. 1337-1353
    • Matrosov, V.M.1
  • 2
    • 38049158016 scopus 로고
    • On the comparison principle of stability of discontinuous systems (in Chinese)
    • J. He 1982 On the comparison principle of stability of discontinuous systems (in Chinese) Journal of Xiamen University (Natural Science) 13 2 117 126
    • (1982) Journal of Xiamen University (Natural Science) , vol.13 , Issue.2 , pp. 117-126
    • He, J.1
  • 5
    • 68949202767 scopus 로고    scopus 로고
    • Matrosov stability theorems for a class of nonautonomous and nonsmooth switched system (in Chinese)
    • X. W. Mu G. F. Cheng F. J. Tang 2007 Matrosov stability theorems for a class of nonautonomous and nonsmooth switched system (in Chinese) Acta Mathematicae Applicatae Sinica 30 1 168 175
    • (2007) Acta Mathematicae Applicatae Sinica , vol.30 , Issue.1 , pp. 168-175
    • Mu, X.W.1    Cheng, G.F.2    Tang, F.J.3
  • 6
    • 68949206135 scopus 로고    scopus 로고
    • Uniformly ultimate boundedness for a class of discontinuous nonautonomous systems (in Chinese)
    • G. F. Cheng X.W. Mu Z. S. Ding 2007 Uniformly ultimate boundedness for a class of discontinuous nonautonomous systems (in Chinese) Acta Mathematicae Applicatae Sinica 30 4 675 681
    • (2007) Acta Mathematicae Applicatae Sinica , vol.30 , Issue.4 , pp. 675-681
    • Cheng, G.F.1    Mu, X.W.2    Ding, Z.S.3
  • 7
    • 38049113004 scopus 로고    scopus 로고
    • On stability of discontinuous systems via vector Lyapunov functions
    • X. W. Mu G. F. Cheng Z. S. Ding 2007 On stability of discontinuous systems via vector Lyapunov functions Appl. Math. Mech -Engl. Ed. 28 12 1613 1620
    • (2007) Appl. Math. Mech -Engl. Ed. , vol.28 , Issue.12 , pp. 1613-1620
    • Mu, X.W.1    Cheng, G.F.2    Ding, Z.S.3
  • 11
    • 0032070908 scopus 로고    scopus 로고
    • Continuous, finite-time stabilization of the translational and rotational double integrators
    • S. P. Bhat D. S. Bernstein 1998 Continuous, finite-time stabilization of the translational and rotational double integrators IEEE Transactions on Automatic Control 43 5 678 682
    • (1998) IEEE Transactions on Automatic Control , vol.43 , Issue.5 , pp. 678-682
    • Bhat, S.P.1    Bernstein, D.S.2
  • 13
    • 0037162403 scopus 로고    scopus 로고
    • Finite-time stabilization and stabilizability of a class controllable systems
    • Y. Hong 2002 Finite-time stabilization and stabilizability of a class controllable systems Systems and Control Letters 46 2 231 236
    • (2002) Systems and Control Letters , vol.46 , Issue.2 , pp. 231-236
    • Hong, Y.1
  • 14
    • 23244467962 scopus 로고    scopus 로고
    • Finite time stability and robust control synthesis of uncertain switched systems
    • Y. Orlov 2005 Finite time stability and robust control synthesis of uncertain switched systems SIAM Journal of Control and Optimization 43 4 1253 1271
    • (2005) SIAM Journal of Control and Optimization , vol.43 , Issue.4 , pp. 1253-1271
    • Orlov, Y.1
  • 17
    • 3843115602 scopus 로고    scopus 로고
    • Existence of caratheodory solutions in nonlinear systems with discontinuous switching feedback controllers
    • S. J. Kim I. J. Ha 2004 Existence of caratheodory solutions in nonlinear systems with discontinuous switching feedback controllers IEEE Transactions on Automatic Control 49 7 1167 1171
    • (2004) IEEE Transactions on Automatic Control , vol.49 , Issue.7 , pp. 1167-1171
    • Kim, S.J.1    Ha, I.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.