메뉴 건너뛰기




Volumn 154, Issue 1, 2004, Pages 279-288

Boundedness of the solutions of impulsive differential systems with time-varying delay

Author keywords

Boundedness; Impulsive; Lyapunov function; Razumikhin technique; Time varying delay

Indexed keywords

FUNCTIONS; INTEGRATION; LYAPUNOV METHODS; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; PERTURBATION TECHNIQUES;

EID: 2942558809     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(03)00712-4     Document Type: Article
Times cited : (33)

References (16)
  • 1
    • 0032162944 scopus 로고    scopus 로고
    • Razumikhin type stability theorems for impulsive functional differential equations
    • Shen J., Yan J. Razumikhin type stability theorems for impulsive functional differential equations. Nonlinear Anal. 33:1998;519-531.
    • (1998) Nonlinear Anal. , vol.33 , pp. 519-531
    • Shen, J.1    Yan, J.2
  • 3
    • 0037168946 scopus 로고    scopus 로고
    • New Razumikhin type theorems for impulsive functional differential equations
    • Luo Z., Shen J. New Razumikhin type theorems for impulsive functional differential equations. Appl. Math. Comput. 125:2002;375-386.
    • (2002) Appl. Math. Comput. , vol.125 , pp. 375-386
    • Luo, Z.1    Shen, J.2
  • 4
    • 0038970785 scopus 로고    scopus 로고
    • Existence and uniqueness of solutions for impulsive functional differential equations on the PC space with applications
    • Shen J.H. Existence and uniqueness of solutions for impulsive functional differential equations on the PC space with applications. Acta Sci. Nat. Univ. Norm. Hunan. 19:1996;13-17.
    • (1996) Acta Sci. Nat. Univ. Norm. Hunan , vol.19 , pp. 13-17
    • Shen, J.H.1
  • 5
    • 18344403338 scopus 로고    scopus 로고
    • Impulsive control for the stabilization and synchronization of Lorenz systems
    • Sun J.T., Zhang Y.P., Wu Q.D. Impulsive control for the stabilization and synchronization of Lorenz systems. Phys. Lett. A. 298:2002;153-160.
    • (2002) Phys. Lett. A , vol.298 , pp. 153-160
    • Sun, J.T.1    Zhang, Y.P.2    Wu, Q.D.3
  • 6
    • 0033117256 scopus 로고    scopus 로고
    • Razumikhin techniques in impulsive functional differential equations
    • Shen J.H. Razumikhin techniques in impulsive functional differential equations. Nonlinear Anal. 36:1999;119-130.
    • (1999) Nonlinear Anal. , vol.36 , pp. 119-130
    • Shen, J.H.1
  • 7
    • 0037617589 scopus 로고    scopus 로고
    • Less conservative conditions for asymptotic stability of impulsive control systems
    • Sun J.T., Zhang Y.P., Wu Q.D. Less conservative conditions for asymptotic stability of impulsive control systems. IEEE Trans. Automat. Contr. 48:2003;829-831.
    • (2003) IEEE Trans. Automat. Contr. , vol.48 , pp. 829-831
    • Sun, J.T.1    Zhang, Y.P.2    Wu, Q.D.3
  • 8
    • 0001487315 scopus 로고    scopus 로고
    • Existence and uniqueness results for impulsive delay differential equations
    • Ballinger G., Liu X. Existence and uniqueness results for impulsive delay differential equations. DCDIS. 5:1999;579-591.
    • (1999) DCDIS , vol.5 , pp. 579-591
    • Ballinger, G.1    Liu, X.2
  • 9
    • 0034810544 scopus 로고    scopus 로고
    • Razumikhin technique for boundedness of the solutions of impulsive integrodifferential equations
    • Hristova S.G., Roberts L.F. Razumikhin technique for boundedness of the solutions of impulsive integrodifferential equations. Math. Comput. Model. 34:2001;839-847.
    • (2001) Math. Comput. Model. , vol.34 , pp. 839-847
    • Hristova, S.G.1    Roberts, L.F.2
  • 10
    • 0030119989 scopus 로고    scopus 로고
    • Stability theorems for delay differential equations with impulses
    • Yu J.S., Zhang B.G. Stability theorems for delay differential equations with impulses. J. Math. Anal. Appl. 198:1996;285-297.
    • (1996) J. Math. Anal. Appl. , vol.198 , pp. 285-297
    • Yu, J.S.1    Zhang, B.G.2
  • 11
    • 0037131984 scopus 로고    scopus 로고
    • Impulsive robust control of uncertain Lur'e systems
    • Sun J.T., Zhang Y.P., Wang L., Wu Q.D. Impulsive robust control of uncertain Lur'e systems. Phys. Lett. A. 304:2002;130-135.
    • (2002) Phys. Lett. A , vol.304 , pp. 130-135
    • Sun, J.T.1    Zhang, Y.P.2    Wang, L.3    Wu, Q.D.4
  • 12
    • 0035313610 scopus 로고    scopus 로고
    • Uniform asymptotic stability of impulsive delay differential equations
    • Liu X.Z., Ballinger G. Uniform asymptotic stability of impulsive delay differential equations. Comput. Math. Appl. 41:2001;903-915.
    • (2001) Comput. Math. Appl. , vol.41 , pp. 903-915
    • Liu, X.Z.1    Ballinger, G.2
  • 15
    • 0037175415 scopus 로고    scopus 로고
    • On stability of impulsive differential systems
    • Soliman A.A. On stability of impulsive differential systems. Appl. Math. Comput. 133:2002;105-117.
    • (2002) Appl. Math. Comput. , vol.133 , pp. 105-117
    • Soliman, A.A.1
  • 16
    • 0037169626 scopus 로고    scopus 로고
    • Stability criteria of perturbed impulsive differential systems
    • Soliman A.A. Stability criteria of perturbed impulsive differential systems. Appl. Math. Comput. 134:2003;445-457.
    • (2003) Appl. Math. Comput. , vol.134 , pp. 445-457
    • Soliman, A.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.