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Volumn 45, Issue 12, 2009, Pages 1709-1720

Preservation of stability of dynamical systems under homomorphisms

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EID: 77949280042     PISSN: 00122661     EISSN: None     Source Type: Journal    
DOI: 10.1134/S0012266109120015     Document Type: Article
Times cited : (5)

References (22)
  • 3
    • 77949280504 scopus 로고    scopus 로고
    • Analysis of Coordinate and Other Transformations of Models of Dynamical Systems by the Reduction Method
    • Vassilyev, S. N., Kozlov, R. I., and Ul'yanov, S. A., Analysis of Coordinate and Other Transformations of Models of Dynamical Systems by the Reduction Method, Tr. Inst. Mat. Mekh. Ural. Otd. RAN, Ekaterinburg, 2009, vol. 15, no. 3, pp. 38-55.
    • (2009) Tr. Inst. Mat. Mekh. Ural. Otd. RAN , vol.15 , Issue.3 , pp. 38-55
    • Vassilyev, S.N.1    Kozlov, R.I.2    Ul'yanov, S.A.3
  • 4
    • 0041823021 scopus 로고
    • The Comparison Method in Systems Analysis. I-IV
    • 1982, vol. 18, no. 2, pp. 197-205; vol. 18, no. 6, pp. 938-947
    • Vassilyev, S. N., The Comparison Method in Systems Analysis. I-IV, Differ. Uravn., 1981, vol. 17, no. 9, pp. 1562-1573; vol. 17, no. 11, pp. 1545-1554; 1982, vol. 18, no. 2, pp. 197-205; vol. 18, no. 6, pp. 938-947.
    • (1981) Differ. Uravn. , vol.17 , Issue.9 , pp. 1562-1573
    • Vassilyev, S.N.1
  • 5
    • 0141461634 scopus 로고
    • The Comparison Method in the Dynamics of Systems. I, II
    • 1975, vol. 11, no. 3, pp. 403-417
    • Matrosov, V. M., The Comparison Method in the Dynamics of Systems. I, II, Differ. Uravn., 1974, vol. 10, no. 9, pp. 1547-1559; 1975, vol. 11, no. 3, pp. 403-417.
    • (1974) Differ. Uravn. , vol.10 , Issue.9 , pp. 1547-1559
    • Matrosov, V.M.1
  • 8
    • 33646910241 scopus 로고    scopus 로고
    • Perspectives and Results on the Stability and Stabilizability of Hybrid Systems
    • DeCarlo, R. A., Branicky, M. S., and Petterson, S., Perspectives and Results on the Stability and Stabilizability of Hybrid Systems, Proc. IEEE, 2000, vol. 88, no. 7, pp. 1069-1082.
    • (2000) Proc. IEEE , vol.88 , Issue.7 , pp. 1069-1082
    • Decarlo, R.A.1    Branicky, M.S.2    Petterson, S.3
  • 9
    • 33750367185 scopus 로고    scopus 로고
    • Ellipsoidal Techniques for Hybrid Dynamics: The Reachability Problem
    • Kurzhanski, A. B., Mitchell, I. M., and Varaiya, P., Ellipsoidal Techniques for Hybrid Dynamics: the Reachability Problem, J. Optim. Theory Appl., 2006, vol. 128(3), pp. 499-521.
    • (2006) J. Optim. Theory Appl. , vol.128 , Issue.3 , pp. 499-521
    • Kurzhanski, A.B.1    Mitchell, I.M.2    Varaiya, P.3
  • 11
    • 4444384361 scopus 로고
    • A Remark on the Lyapunov Second Method
    • Persidskii, K. P., A Remark on the Lyapunov Second Method, Izv. Akad. Nauk KazSSR Mat. Mekh., 1947, vol. 42, no. 1, pp. 48-55.
    • (1947) Izv. Akad. Nauk KazSSR Mat. Mekh. , vol.42 , Issue.1 , pp. 48-55
    • Persidskii, K.P.1
  • 12
    • 0002971745 scopus 로고
    • The Application of Differential Inequalities to the Theory of Stability
    • Corduneanu, C., The Application of Differential Inequalities to the Theory of Stability, An. Ştiinţ. Univ. AI. I. Cuza Iaşi, Mat., 1960, vol. 6, pp. 47-58.
    • (1960) An. Ştiinţ. Univ. AI.I. Cuza Iaşi, Mat. , vol.6 , pp. 47-58
    • Corduneanu, C.1
  • 13
    • 77949278420 scopus 로고    scopus 로고
    • A Reduction Method and Qualitative Analysis of Dynamical Systems. I, II
    • Vassilyev, S. N., A Reduction Method and Qualitative Analysis of Dynamical Systems. I, II, Izv. Ross. Akad. Nauk Teor. Sist. Upr., 2006, no. 1, pp. 21-29; no. 2, pp. 5-17.
    • (2006) Izv. Ross. Akad. Nauk Teor. Sist. Upr. , Issue.1-2
    • Vassilyev, S.N.1
  • 14
    • 0003723014 scopus 로고
    • Translated under the title Pryamoi metod Lyapunova v teorii ustoichivosti, Moscow: Mir, 1980, New York: Springer-Verlag
    • Rouche, N., Habets, P., and Laloy, M., Stability Theory by Liapunov's Direct Method, New York: Springer-Verlag, 1977. Translated under the title Pryamoi metod Lyapunova v teorii ustoichivosti, Moscow: Mir, 1980.
    • (1977) Stability Theory by Liapunov's Direct Method
    • Rouche, N.1    Habets, P.2    Laloy, M.3
  • 16
    • 77949289524 scopus 로고    scopus 로고
    • Stability of Solutions in Different Variables
    • Kavinov, A. V. and Krishchenko, A. P., Stability of Solutions in Different Variables, Differ. Uravn., 2007, vol. 43, no. 11, pp. 1470-1473.
    • (2007) Differ. Uravn. , vol.43 , Issue.11 , pp. 1470-1473
    • Kavinov, A.V.1    Krishchenko, A.P.2
  • 17
    • 0009407383 scopus 로고
    • Über die Invarianz der Stabilität bei einem Phasenraum-Homöomorphismus
    • Thomas, J., Über die Invarianz der Stabilität bei einem Phasenraum-Homöomorphismus, J. Angewandte Math., 1964, vol. 213, pp. 147-150.
    • (1964) J. Angewandte Math. , vol.213 , pp. 147-150
    • Thomas, J.1
  • 18
    • 77949296031 scopus 로고    scopus 로고
    • A Remark on the Stability of a Certain Class of Hybrid Systems
    • Vassilyev, S. N., A Remark on the Stability of a Certain Class of Hybrid Systems, Izv. Irkutsk. Gos. Univ. Mat., 2009, vol. 2, no. 2, pp. 1-8.
    • (2009) Izv. Irkutsk. Gos. Univ. Mat. , vol.2 , Issue.2 , pp. 1-8
    • Vassilyev, S.N.1
  • 19
    • 77949302571 scopus 로고    scopus 로고
    • Homomorphisms of Impulsive Differential Equations with Impulses at Unfixed Times and Comparison Method
    • Vassilyev, S. N., Homomorphisms of Impulsive Differential Equations with Impulses at Unfixed Times and Comparison Method, Internat. J. of Hybrid Systems, 2002, vol. 2, no. 3, pp. 289-296.
    • (2002) Internat. J. Of Hybrid Systems , vol.2 , Issue.3 , pp. 289-296
    • Vassilyev, S.N.1
  • 21
    • 0003165287 scopus 로고
    • Impulsive Stabilization of Nonlinear Systems
    • Liu, X., Impulsive Stabilization of Nonlinear Systems, J. Math. Control and Information, 1993, no. 10, pp. 11-19.
    • (1993) J. Math. Control and Information , Issue.10 , pp. 11-19
    • Liu, X.1
  • 22
    • 52849096320 scopus 로고    scopus 로고
    • Stability and Attractivity of Solutions of Differential Equations with Impulses at Fixed Times
    • Sivasundaram, S. and Vassilyev, S. N., Stability and Attractivity of Solutions of Differential Equations with Impulses at Fixed Times, J. Appl. Math. Stoch. Anal., 2000, vol. 13, no. 1, pp. 77-84.
    • (2000) J. Appl. Math. Stoch. Anal. , vol.13 , Issue.1 , pp. 77-84
    • Sivasundaram, S.1    Vassilyev, S.N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.