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Lyapunov stability for impulsive control affine systems

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Abstract This article studies several notions of Lyapunov stability for impulsive control affine systems in the setting of nonautonomous dynamical systems. It presents some relations between the stability of an… Click to show full abstract

Abstract This article studies several notions of Lyapunov stability for impulsive control affine systems in the setting of nonautonomous dynamical systems. It presents some relations between the stability of an impulsive control affine system and the stability of its adjacent control system. Stability of compact sets and their components are specially investigated. Lyapunov functionals are employed to characterize each type of stability of closed sets.

Keywords: impulsive control; stability impulsive; control; control affine; lyapunov stability

Journal Title: Journal of Differential Equations
Year Published: 2019

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