Robustness of exponentially κ -dissipative dynamical systems with perturbations

We study the robustness of exponentially \begin{document}$κ$\end{document} -dissipative dynamical systems with perturbed parameters \begin{document}$\varepsilon∈ E(\subset\mathbb{R})$\end{document} . In particular, under some proper assumptions, we will construct a family of compact sets \begin{document}$\{\mathcal A_\varepsilon\}_{\varepsilon∈ E}$\end{document} , which is positive invariant, uniformly exponentially attracting and equi-continuous. At last, an application to a Kirchhoff wave model is given.