5 papers
Output Feedback Exponential Stabilization for a 1-d Wave PDE with Dynamic Boundary
Zhan-Dong Mei
We study the output feedback exponential stabilization for a 1-d wave PDE with dynamic boundary. With only one measurement, we construct an infinite-dimensional state observer to t…
Exponential Stability of a Class of Infinite Dimensional Coupled Systems
Zhan-Dong Mei
This paper is concerned with exponential stability of a class of infinite dimensional coupled systems. It is proved that under some admissibility conditions, the considered infinit…
Stabilization of parallel-flow heat exchangers with arbitrary delayed boundary feedback
Zhan-Dong Mei
This paper is concerned with the stabilization of parallel-flow heat exchangers equation with boundary control and arbitrarily delayed observation. The observer and predictor-based…
Perturbations of Admissibility, Exact Controllability, Exact Observability and Regularity
Zhan-Dong Mei, Ji-Gen Peng
This paper is concerned with the notions of admissibility, exact controllability, exact observability and regularity of linear systems in the Banach space setting. It is proved tha…
Riemann-Liouville Fractional Cosine Functions
Zhan-Dong Mei, Ji-Gen Peng
In this paper, a new notion, named Riemann-Liouville fractional cosine function is presented. It is proved that a Riemann-Liouville -order fractional cosine function is equivale…