Robustness of exponentially κ-dissipative dynamical systems with perturbations

Abstract

We study the robustness of exponentially κ-dissipative dynamical systems with perturbed parameters ϵ ∈ E(⊂ ℝ). In particular, under some proper assumptions, we will construct a family of compact sets {Aϵ}ϵ∈E, which is positive invariant, uniformly exponentially attracting and equi-continuous. At last, an application to a Kirchhoff wave model is given.