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Volumn 17, Issue 8, 2004, Pages 985-991

About lyapunov functionals construction for difference equations with continuous time

Author keywords

Difference equations with continuous time; Method of Lyapunov functionals construction; Stability

Indexed keywords

COMPUTATIONAL METHODS; DIFFERENCE EQUATIONS; INTEGER PROGRAMMING; PROBLEM SOLVING; SYSTEM STABILITY; THEOREM PROVING;

EID: 7444229299     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2003.06.011     Document Type: Article
Times cited : (23)

References (10)
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    • 0011128990 scopus 로고
    • New results in stability theory for stochastic functional differential equations (SFDEs) and their applications
    • Dynamic Publishers
    • V.B. Kolmanovskii and L.E. Shaikhet, New results in stability theory for stochastic functional differential equations (SFDEs) and their applications, In Proceedings of Dynamical Systems and Applications, Volume 1, pp. 167-171, Dynamic Publishers, (1994).
    • (1994) Proceedings of Dynamical Systems and Applications , vol.1 , pp. 167-171
    • Kolmanovskii, V.B.1    Shaikhet, L.E.2
  • 3
    • 0011102068 scopus 로고
    • A method of Lyapunov functionals construction for stochastic differential equations of neutral type
    • V.B. Kolmanovskii and L.E. Shaikhet, A method of Lyapunov functionals construction for stochastic differential equations of neutral type, Differentialniye uravneniya (in Russian) 31 (11), 1851-1857, (1995); Translated in, Differential Equations 31 (11), 1819-1825, (1996).
    • (1995) Differentialniye Uravneniya (in Russian) , vol.31 , Issue.11 , pp. 1851-1857
    • Kolmanovskii, V.B.1    Shaikhet, L.E.2
  • 4
    • 3242890434 scopus 로고    scopus 로고
    • Translated in
    • V.B. Kolmanovskii and L.E. Shaikhet, A method of Lyapunov functionals construction for stochastic differential equations of neutral type, Differentialniye uravneniya (in Russian) 31 (11), 1851-1857, (1995); Translated in, Differential Equations 31 (11), 1819-1825, (1996).
    • (1996) Differential Equations , vol.31 , Issue.11 , pp. 1819-1825
  • 5
    • 0011065214 scopus 로고    scopus 로고
    • Modern state and development perspectives of Lyapunov functionals method in the stability theory of stochastic hereditary systems
    • No. 1-2
    • L.E. Shaikhet, Modern state and development perspectives of Lyapunov functionals method in the stability theory of stochastic hereditary systems, Theory of Stochastic Processes 2 (18, No. 1-2), 248-259, (1996).
    • (1996) Theory of Stochastic Processes , vol.2 , Issue.18 , pp. 248-259
    • Shaikhet, L.E.1
  • 6
    • 0011065426 scopus 로고    scopus 로고
    • Necessary and sufficient conditions of asymptotic mean square stability for stochastic linear difference equations
    • L.E. Shaikhet, Necessary and sufficient conditions of asymptotic mean square stability for stochastic linear difference equations, Appl. Math. Lett. 10 (3), 111-115, (1997).
    • (1997) Appl. Math. Lett. , vol.10 , Issue.3 , pp. 111-115
    • Shaikhet, L.E.1
  • 7
    • 0001391701 scopus 로고    scopus 로고
    • Matrix Riccati equations and stability of stochastic linear systems with nonincreasing delays
    • V.B. Kolmanovskii and L.E. Shaikhet, Matrix Riccati equations and stability of stochastic linear systems with nonincreasing delays, Functional Differential Equations 4 (3-4), 279-293, (1997).
    • (1997) Functional Differential Equations , vol.4 , Issue.3-4 , pp. 279-293
    • Kolmanovskii, V.B.1    Shaikhet, L.E.2
  • 8
    • 0033233703 scopus 로고    scopus 로고
    • The stability of certain discrete-time Volterra equations
    • V.B. Kolmanovskii, The stability of certain discrete-time Volterra equations, Journal of Applied Mathematics and Mechanics 63 (4), 537-543, (1999).
    • (1999) Journal of Applied Mathematics and Mechanics , vol.63 , Issue.4 , pp. 537-543
    • Kolmanovskii, V.B.1
  • 9
    • 31244437798 scopus 로고    scopus 로고
    • Some peculiarities of the general method of Lyapunov functionals construction
    • V. Kolmanovskii and L. Shaikhet, Some peculiarities of the general method of Lyapunov functionals construction, Appl. Math. Lett. 15 (3), 355-360, (2002).
    • (2002) Appl. Math. Lett. , vol.15 , Issue.3 , pp. 355-360
    • Kolmanovskii, V.1    Shaikhet, L.2
  • 10
    • 0037073039 scopus 로고    scopus 로고
    • Construction of Lyapunov functionals for stochastic hereditary systems: A survey of some recent results
    • V. Kolmanovskii and L. Shaikhet, Construction of Lyapunov functionals for stochastic hereditary systems: A survey of some recent results, Mathl. Comput. Modelling 36 (6), 691-716, (2002).
    • (2002) Mathl. Comput. Modelling , vol.36 , Issue.6 , pp. 691-716
    • Kolmanovskii, V.1    Shaikhet, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.