메뉴 건너뛰기




Volumn 43, Issue 7, 2007, Pages 1219-1225

Razumikhin-type stability theorems for discrete delay systems

Author keywords

Discrete delay system; Lyapunov exponent; Razumikhin type theorem; Uniform stability; Uniformly asymptotic stability; Uniformly exponential stability

Indexed keywords

ASYMPTOTIC STABILITY; ESTIMATION; LYAPUNOV FUNCTIONS; STABILITY CRITERIA;

EID: 34249008964     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2006.12.032     Document Type: Article
Times cited : (86)

References (19)
  • 3
    • 0142200317 scopus 로고    scopus 로고
    • Knospe, C. R., Roozbehani, M. (2003). Stability of linear systems with interval time-delay. In Proceedings of the American control conference (Vol. 2, pp. 1458-1463).
  • 4
    • 34249082879 scopus 로고    scopus 로고
    • Liao, X. X. (2001). Theory and application of stability for dynamical systems. Beijing: National Defence Industry Press.
  • 6
    • 31744440550 scopus 로고    scopus 로고
    • Razumikhin-type theorems on exponential stability of impulsive delay systems
    • Liu B., Liu X., Teo K.L., and Wang Q. Razumikhin-type theorems on exponential stability of impulsive delay systems. IMA Journal of Applied Mathematics 71 (2006) 47-61
    • (2006) IMA Journal of Applied Mathematics , vol.71 , pp. 47-61
    • Liu, B.1    Liu, X.2    Teo, K.L.3    Wang, Q.4
  • 7
    • 0035313610 scopus 로고    scopus 로고
    • Uniform asymptotic stability of impulsive delay differential equations
    • Liu X., and Ballinger G. Uniform asymptotic stability of impulsive delay differential equations. Computers and Mathematics with Applications 41 (2001) 903-915
    • (2001) Computers and Mathematics with Applications , vol.41 , pp. 903-915
    • Liu, X.1    Ballinger, G.2
  • 8
    • 6444234243 scopus 로고    scopus 로고
    • Synchronization analysis of linearly coupled networks of discrete time systems
    • Lu W., and Chen T. Synchronization analysis of linearly coupled networks of discrete time systems. Physica D 198 (2004) 148-168
    • (2004) Physica D , vol.198 , pp. 148-168
    • Lu, W.1    Chen, T.2
  • 9
    • 0031488287 scopus 로고    scopus 로고
    • Razumikhin-type theorems on exponential stability of neural stochastic functional differential equations
    • Mao X. Razumikhin-type theorems on exponential stability of neural stochastic functional differential equations. SIAM Journal on Mathematical Analysis 28 (1997) 389-400
    • (1997) SIAM Journal on Mathematical Analysis , vol.28 , pp. 389-400
    • Mao, X.1
  • 12
    • 0032162944 scopus 로고    scopus 로고
    • Razumikhin type stability theorems for impulsive functional differential equations
    • Shen J.H., and Yan J. Razumikhin type stability theorems for impulsive functional differential equations. Nonlinear Analysis 33 (1998) 519-531
    • (1998) Nonlinear Analysis , vol.33 , pp. 519-531
    • Shen, J.H.1    Yan, J.2
  • 13
    • 0035339302 scopus 로고    scopus 로고
    • Lyapunov-Razumikhin method for impulsive functional equations and applications to the population dynamics
    • Stamova I.M., and Stamov G.T. Lyapunov-Razumikhin method for impulsive functional equations and applications to the population dynamics. Journal of Computational and Applied Mathematics 130 (2001) 163-171
    • (2001) Journal of Computational and Applied Mathematics , vol.130 , pp. 163-171
    • Stamova, I.M.1    Stamov, G.T.2
  • 14
    • 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 (1998) 960-964
    • (1998) IEEE Transactions on Automatic Control , vol.43 , pp. 960-964
    • Teel, A.R.1
  • 15
    • 0032274166 scopus 로고    scopus 로고
    • Teel, A. R., Nešić, D., & Kokotović, P. V. (1998). A note on input-to state stability of sampled-data nonlinear systems. In Proceedings of the 37th IEEE conference on decision and control (pp. 2473-2478), Tampa, FL.
  • 16
    • 0035278761 scopus 로고    scopus 로고
    • Stability of time-delay systems: Equivalence between Lyapunov and scaled small gain conditions
    • Zhang J., Knospe C.R., and Tsiotras P. Stability of time-delay systems: Equivalence between Lyapunov and scaled small gain conditions. IEEE Transactions on Automatic Control 46 (2001) 482-486
    • (2001) IEEE Transactions on Automatic Control , vol.46 , pp. 482-486
    • Zhang, J.1    Knospe, C.R.2    Tsiotras, P.3
  • 19
    • 0037400166 scopus 로고    scopus 로고
    • Networked control design for linear systems
    • Zhivoglyadov P.V., and Middleton R.H. Networked control design for linear systems. Automatica 39 (2003) 743-750
    • (2003) Automatica , vol.39 , pp. 743-750
    • Zhivoglyadov, P.V.1    Middleton, R.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.