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Volumn 43, Issue 4, 2007, Pages 701-706

On Liapunov-Krasovskii functionals under Carathéodory conditions

Author keywords

Input to state stability; Liapunov function; Liapunov methods; Liapunov stability; Neutral systems; Stability analysis; Stability criteria; Time delay

Indexed keywords

DIFFERENTIAL EQUATIONS; ELECTRIC LINES; LYAPUNOV METHODS; MATHEMATICAL OPERATORS;

EID: 33847369347     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2006.10.024     Document Type: Article
Times cited : (111)

References (9)
  • 1
    • 29244442980 scopus 로고
    • Existence and stability of solutions of a delay-differential system
    • Driver R.D. Existence and stability of solutions of a delay-differential system. Archive for Rational Mechanics and Analysis 10 (1962) 401-426
    • (1962) Archive for Rational Mechanics and Analysis , vol.10 , pp. 401-426
    • Driver, R.D.1
  • 3
    • 28844507497 scopus 로고    scopus 로고
    • Lyapunov theorems for systems described by retarded functional differential equations
    • Karafyllis I. Lyapunov theorems for systems described by retarded functional differential equations. Nonlinear Analysis: Theory, Methods & Applications 64 3 (2006) 590-617
    • (2006) Nonlinear Analysis: Theory, Methods & Applications , vol.64 , Issue.3 , pp. 590-617
    • Karafyllis, I.1
  • 5
    • 0041800918 scopus 로고
    • On the application of the second method of A. M. Lyapunov to equations with time delays (in Russian)
    • Krasovskii N.N. On the application of the second method of A. M. Lyapunov to equations with time delays (in Russian). Prikladnaya Matematika i Mekhanika 20 (1956) 315-327
    • (1956) Prikladnaya Matematika i Mekhanika , vol.20 , pp. 315-327
    • Krasovskii, N.N.1
  • 6
    • 33847371324 scopus 로고    scopus 로고
    • Niculescu, S.-I. (2001). Delay effects on stability, a robust control approach, Lecture notes in control and information sciences. Berlin: Springer.
  • 7
    • 33749983416 scopus 로고    scopus 로고
    • A Liapunov-Krasovskii methodology for ISS and iISS of time-delay systems
    • Pepe P., and Jiang Z.-P. A Liapunov-Krasovskii methodology for ISS and iISS of time-delay systems. Systems & Control Letters 55 12 (2006) 1006-1014
    • (2006) Systems & Control Letters , vol.55 , Issue.12 , pp. 1006-1014
    • Pepe, P.1    Jiang, Z.-P.2
  • 9
    • 0024647058 scopus 로고
    • Smooth stabilization implies coprime factorization
    • Sontag E.D. Smooth stabilization implies coprime factorization. IEEE Transactions on Automatic Control 34 (1989) 435-443
    • (1989) IEEE Transactions on Automatic Control , vol.34 , pp. 435-443
    • Sontag, E.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.