Exponential Stability of Interval Dynamical Systems with Quadratic Nonlinearity

Author: Ivlev Ruslan  

Publisher: Springer Publishing Company

ISSN: 1385-3139

Source: Reliable Computing, Vol.13, Iss.3, 2007-06, pp. : 283-291

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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.