Systems with Persistent Memory: Controllability, Stability, Identification

This text addresses systems with persistent memory that are common mathematical models used in the study of viscoelasticity and thermodynamics with memory. In particular, this class of systems is used to model non-Fickian diffusion in the presence of complex molecular structures. Hence, it has wide applications in biology.

The book focuses on the properties and controllability of the archetypal heat and wave equations with memory and introduces the dynamic approach to identification proble...