Exponential Stability of Interval Dynamical Systems with Quadratic Nonlinearity

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.

• Type: Journal
• Year: 2007
• Where: RC
• Authors: Ruslan S. Ivlev, Svetlana P. Sokolova
• Keywords: Exponential Stability, Lyapunov’s Direct Method, Nonlinear Interval, RC 2007