Exponential stability of interval dynamical systems with quadratic nonlinearity

• Autorzy: Ivlev R. , Sokolova S.
• Języki publikacji: EN

Abstrakty

EN

This article proposes an approach for investigating the exponential stability of a nonlinear interval dynamical system with the nonlincarily of a quadratic type on the basis of Lyapunov's direct method. It also constructs an inner estimate of the attraction domain to the origin for the system under consideration.

Słowa kluczowe

EN

exponential stability; quadratic nonlinearity; Lyapunov direct method; nonlinear dynamical system; attraction domain estimation

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Systems Science
• Rocznik: 2006
• Tom: Vol. 32, no 1
• Strony: 5--14
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Ivlev R.

autor

Sokolova S.

• Institute of Informatics and Control Problems, Almaly, Kazakhstan

Bibliografia

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• [3] KARL W. C., GRESCHAK J. P., VERGHESE G. C., Comments on “A necessary and sufficient condition for stability of interval matrices”, Int. J. Contr., Vol. 39, No. 4, 1984, 849-851.
• [4] BARMISH B. R., HOLLOT C. V., Counter-example to a recent on the stability of interval matrices by Bialas, Int. J. Contr. Vol. 39, No. 5, 1984, 1103-1104.
• [5] KREINOVICH V., LAKEYEV A., ROHN J., KAHL. P., Computational complexity and feasibility of data processing and interval computations. Kluwer, Dordrecht 1997.
• [6] ALEFELD G., HERZBERGER J., Introduction to interval computations, Academic Press, New York 1983.
• [7] NEUMAIER A., Interval methods for systems of equations, Cambridge University Press, Cambridge 1990.
• [8] HORN R. A., JOHNSON C. R., Matrix analysis, Cambridge University Press, Cambridge 1986.
• [9] GANTMACHER F. R., The theory of matrices, Chelsea Publishing Company, New York 1959.
• [10] DEMIDOVICH B. P., Lectures on mathematical theory of stability. Science, Moscow, 1967, (in Russian).
• [11] BARBASHIN E. A., TABUYEVA V. A., Dynamical systems with the cylinder phase space, Science, Moscow, 1969, (in Russian).