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Finite‐time control of impulsive hybrid dynamical systems in pest management
Authors:Hong Zhang  Paul Georgescu
Abstract:This paper deals with the dynamics of a class of hybrid dynamical systems, which are subject to time‐dependent impulsive perturbations within a finite‐time interval and describe control strategies for integrated pest management. By using suitably defined Lyapunov functionals, sufficient conditions for the finite‐time contractive stability of the null solution are found by means of monotonicity arguments. Finally, a numerical simulation illustrates the theoretical analysis. Copyright © 2014 John Wiley & Sons, Ltd.
Keywords:hybrid dynamical systems  impulsive perturbations  finite‐time stability  economic injury level
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