Robust Stability of Global Attractors for Evolutionary Systems without Uniqueness

Abstract

We establish the local input-to-state stability of multi-valued evolutionary systems with bounded disturbances with respect to the global attractor of the respective undisturbed system. We apply obtained results to disturbed reaction-diffusion equation.

Keywords

• global attractor
• multi-valued semiprocess
• local input-to-state stability
• reaction-diffusion equation