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Volumn 44, Issue 9, 2008, Pages 2266-2273

On the Liapunov-Krasovskii methodology for the ISS of systems described by coupled delay differential and difference equations

Author keywords

Continuous time difference equations; Delay differential equations; Input to state stability; Liapunov Krasovskii functional; Neutral systems

Indexed keywords

AEROSPACE ENGINEERING; CONTROL THEORY; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); EQUATIONS OF STATE; EQUIVALENT CIRCUITS; FEEDBACK CONTROL; INVARIANCE; LINEAR CONTROL SYSTEMS; MATHEMATICAL OPERATORS; NETWORKS (CIRCUITS); PARTIAL DIFFERENTIAL EQUATIONS; SYSTEM STABILITY; TECHNOLOGY;

EID: 50049086623     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2008.01.010     Document Type: Article
Times cited : (83)

References (28)
  • 2
    • 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 , Issue.10 , pp. 401-426
    • Driver, R.D.1
  • 3
    • 0036756393 scopus 로고    scopus 로고
    • Stability of linear descriptor systems with delay: A Lyapunov-based approach
    • Fridman E. Stability of linear descriptor systems with delay: A Lyapunov-based approach. Journal of Mathematical Analysis and Applications 273 (2002) 24-44
    • (2002) Journal of Mathematical Analysis and Applications , vol.273 , pp. 24-44
    • Fridman, E.1
  • 4
    • 0034354179 scopus 로고    scopus 로고
    • Local asymptotic stability for nonlinear state feedback delay systems
    • Germani A., Manes C., and Pepe P. Local asymptotic stability for nonlinear state feedback delay systems. Kybernetika 36 1 (2000) 31-42
    • (2000) Kybernetika , vol.36 , Issue.1 , pp. 31-42
    • Germani, A.1    Manes, C.2    Pepe, P.3
  • 5
    • 0041807578 scopus 로고    scopus 로고
    • Input-output linearization with delay cancellation for nonlinear delay systems: The problem of the internal stability
    • Germani A., Manes C., and Pepe P. Input-output linearization with delay cancellation for nonlinear delay systems: The problem of the internal stability. International Journal of Robust and Nonlinear Control 13 9 (2003) 909-937
    • (2003) International Journal of Robust and Nonlinear Control , vol.13 , Issue.9 , pp. 909-937
    • Germani, A.1    Manes, C.2    Pepe, P.3
  • 9
    • 0035370502 scopus 로고    scopus 로고
    • Input-to-state stability for discrete-time nonlinear systems
    • Jiang Z.-P., and Wang Y. Input-to-state stability for discrete-time nonlinear systems. Automatica 37 (2001) 857-869
    • (2001) Automatica , vol.37 , pp. 857-869
    • Jiang, Z.-P.1    Wang, Y.2
  • 10
    • 0040278321 scopus 로고
    • Spline approximations for neutral functional differential equations
    • Kappel F., and Kunisch K. Spline approximations for neutral functional differential equations. SIAM Journal on Numerical Analysis 18 6 (1981) 1058-1080
    • (1981) SIAM Journal on Numerical Analysis , vol.18 , Issue.6 , pp. 1058-1080
    • Kappel, F.1    Kunisch, K.2
  • 11
    • 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. Journal of Nonlinear Analysis. Theory, Methods & Applications 64 3 (2006) 590-617
    • (2006) Journal of Nonlinear Analysis. Theory, Methods & Applications , vol.64 , Issue.3 , pp. 590-617
    • Karafyllis, I.1
  • 12
    • 33144487218 scopus 로고    scopus 로고
    • Non-uniform in time robust global asymptotic output stability for discrete-time systems
    • Karafyllis I. Non-uniform in time robust global asymptotic output stability for discrete-time systems. International Journal of Robust and Nonlinear Control 16 4 (2006) 191-214
    • (2006) International Journal of Robust and Nonlinear Control , vol.16 , Issue.4 , pp. 191-214
    • Karafyllis, I.1
  • 17
    • 0033246203 scopus 로고    scopus 로고
    • Asymptotic stability of neutral systems with multiple delays
    • Park J.H., and Won S. Asymptotic stability of neutral systems with multiple delays. Journal of Optimization Theory and Applications 103 1 (1999) 183-200
    • (1999) Journal of Optimization Theory and Applications , vol.103 , Issue.1 , pp. 183-200
    • Park, J.H.1    Won, S.2
  • 18
    • 0346148360 scopus 로고    scopus 로고
    • The Liapunov's second method for continuous time difference equations
    • Pepe P. The Liapunov's second method for continuous time difference equations. International Journal of Robust and Nonlinear Control 13 15 (2003) 1389-1405
    • (2003) International Journal of Robust and Nonlinear Control , vol.13 , Issue.15 , pp. 1389-1405
    • Pepe, P.1
  • 19
    • 9644283189 scopus 로고    scopus 로고
    • On the asymptotic stability of coupled delay differential and continuous time difference equations
    • Pepe P. On the asymptotic stability of coupled delay differential and continuous time difference equations. Automatica 41 1 (2005) 107-112
    • (2005) Automatica , vol.41 , Issue.1 , pp. 107-112
    • Pepe, P.1
  • 20
    • 33847369347 scopus 로고    scopus 로고
    • On Liapunov-Krasovskii functionals under carathéodory conditions
    • Pepe P. On Liapunov-Krasovskii functionals under carathéodory conditions. Automatica 43 4 (2007) 701-706
    • (2007) Automatica , vol.43 , Issue.4 , pp. 701-706
    • Pepe, P.1
  • 21
    • 34249106681 scopus 로고    scopus 로고
    • The problem of the absolute continuity for Liapunov-Krasovskii functionals
    • Pepe P. The problem of the absolute continuity for Liapunov-Krasovskii functionals. IEEE Transactions on Automatic Control 52 5 (2007) 953-957
    • (2007) IEEE Transactions on Automatic Control , vol.52 , Issue.5 , pp. 953-957
    • Pepe, P.1
  • 22
    • 33749983416 scopus 로고    scopus 로고
    • A Lyapunov-Krasovskii methodology for ISS and iISS of time-delay systems
    • Pepe P., and Jiang Z.-P. A Lyapunov-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
  • 23
    • 35948951603 scopus 로고    scopus 로고
    • A new Lyapunov-Krasovskii methodology for coupled delay differential and difference equations
    • Pepe P., Jiang Z.-P., and Fridman E. A new Lyapunov-Krasovskii methodology for coupled delay differential and difference equations. International Journal of Control 81 1 (2008) 107-115
    • (2008) International Journal of Control , vol.81 , Issue.1 , pp. 107-115
    • Pepe, P.1    Jiang, Z.-P.2    Fridman, E.3
  • 24
    • 0041881648 scopus 로고    scopus 로고
    • On the stability of coupled delay differential and continuous time difference equations
    • Pepe P., and Verriest E.I. On the stability of coupled delay differential and continuous time difference equations. IEEE Transactions on Automatic Control 48 8 (2003) 1422-1427
    • (2003) IEEE Transactions on Automatic Control , vol.48 , Issue.8 , pp. 1422-1427
    • Pepe, P.1    Verriest, E.I.2
  • 26
    • 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
  • 27
    • 0032124188 scopus 로고    scopus 로고
    • Connections between Razumikhin-type theorems and the ISS nonlinear small gain theorem
    • Teel A.R. Connections between Razumikhin-type theorems and the ISS nonlinear small gain theorem. IEEE Transactions on Automatic Control 43 7 (1998) 960-964
    • (1998) IEEE Transactions on Automatic Control , vol.43 , Issue.7 , pp. 960-964
    • Teel, A.R.1
  • 28
    • 51449088467 scopus 로고    scopus 로고
    • Yeganefar, N., Pepe, P., & Dambrine, M. (2008). Input-to-state stability of time-delay systems: A link with exponential stability, IEEE Transactions on Automatic Control (in press)
    • Yeganefar, N., Pepe, P., & Dambrine, M. (2008). Input-to-state stability of time-delay systems: A link with exponential stability, IEEE Transactions on Automatic Control (in press)


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.