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Exponential Stability of Interval Dynamical Systems with Quadratic Nonlinearity

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Reliable Computing

Abstract

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

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Authors and Affiliations

  1. Institute of Informatics and Control Problems, Ministry of Education and Sciences, 125 Pushkin Str., 480100, Almaty, Republic of Kazakhstan

    Ruslan S. Ivlev

  2. Institute of Informatics and Automation, Russian Academy of Sciences, 39, 14-th line V.O., 199178, St. Petersburg, Russia

    Svetlana P. Sokolova

Authors
  1. Ruslan S. Ivlev
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  2. Svetlana P. Sokolova
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Correspondence to Ruslan S. Ivlev.

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Ivlev, R.S., Sokolova, S.P. Exponential Stability of Interval Dynamical Systems with Quadratic Nonlinearity. Reliable Comput 13, 283–291 (2007). https://doi.org/10.1007/s11155-006-9029-y

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  • DOI: https://doi.org/10.1007/s11155-006-9029-y

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