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Volumn 189, Issue 2, 2003, Pages 440-460

Non-autonomous systems: Asymptotic behaviour and weak invariance principles

Author keywords

Adaptive control; Asymptotic behaviour; Differential inclusions; Invariance; Non autonomous differential equations; Non linear systems; Stability

Indexed keywords


EID: 0037431269     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-0396(02)00144-4     Document Type: Article
Times cited : (16)

References (18)
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    • Limiting equations and stability of nonautonomous ordinary differential equations
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    • Z. Artstein, Limiting equations and stability of nonautonomous ordinary differential equations, in: J.P. LaSalle (Ed.), The Stability of Dynamical Systems, Appendix A, SIAM Regional Conference Series in Applied Mathematics, SIAM, Philadelphia, 1976.
    • (1976) The Stability of Dynamical Systems
    • Artstein, Z.1
  • 3
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    • Artstein, Z.1
  • 5
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    • Barbǎlat, I.1
  • 7
    • 0029321632 scopus 로고
    • An integral-invariance principle for nonlinear systems
    • AC-40
    • C.I. Byrnes, C.F. Martin, An integral-invariance principle for nonlinear systems, IEEE Trans. Automat. Control AC-40 (1995) 983-994.
    • (1995) IEEE Trans. Automat. Control , pp. 983-994
    • Byrnes, C.I.1    Martin, C.F.2
  • 10
    • 0002764036 scopus 로고
    • On certain questions in the theory of optimal control
    • A.F. Filippov, On certain questions in the theory of optimal control, SIAM J. Control 1 (1962) 76-84.
    • (1962) SIAM J. Control , vol.1 , pp. 76-84
    • Filippov, A.F.1
  • 13
    • 33646976814 scopus 로고
    • Some extensions of Liapunov's Second Method
    • J.P. LaSalle, Some extensions of Liapunov's Second Method, IRE Trans. Circuit Theory CT-7 (1960) 520-527.
    • (1960) IRE Trans. Circuit Theory CT-7 , pp. 520-527
    • LaSalle, J.P.1
  • 14
    • 0345527171 scopus 로고
    • SIAM Regional Conference Series in Applied Mathematics, SIAM, Philadelphia
    • J.P. LaSalle, The Stability of Dynamical Systems, SIAM Regional Conference Series in Applied Mathematics, SIAM, Philadelphia, 1976.
    • (1976) The Stability of Dynamical Systems
    • LaSalle, J.P.1
  • 15
    • 0029775547 scopus 로고    scopus 로고
    • A smooth converse Lyapunov theorem for robust stability
    • Y. Lin, E.D. Sontag, Y. Wang, A smooth converse Lyapunov theorem for robust stability, SIAM J. Control Optim. 34 (1996) 124-160.
    • (1996) SIAM J. Control Optim. , vol.34 , pp. 124-160
    • Lin, Y.1    Sontag, E.D.2    Wang, Y.3
  • 16
    • 0001198071 scopus 로고
    • Discontinuous feedback and universal adaptive stabilization
    • D. Hinrichsen, B. Mårtensson (Eds.), Birkhäuser, Boston
    • E.P. Ryan, Discontinuous feedback and universal adaptive stabilization, in: D. Hinrichsen, B. Mårtensson (Eds.), Control of Uncertain Systems, Birkhäuser, Boston, 1990, pp. 245-258.
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    • Ryan, E.P.1
  • 17
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    • An integral invariance principle for differential inclusions with application in adaptive control
    • E.P. Ryan, An integral invariance principle for differential inclusions with application in adaptive control, SIAM J. Control Optim. 36 (1998) 960-980.
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    • Ryan, E.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.