1 citations · 2 across the 9 of their papers we have counts for
9 papers
Stabilization for a Cascaded ODE-Wave Equation with Boundary Nonlinear Disturbances
Zhan-Dong Mei, Lan-Xi Tang
In this article, we investigate the problem of exponential stabilization via output feedback for a cascaded system composed of an ordinary differential equation (ODE) and a wave pa…
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…
Stabilization for a Flexible Beam with Tip Mass and Control Matched Disturbance
Zhan-Dong Mei
This paper is concerned with the output feedback exponential stabilization for a flexible beam with tip mass. When there is no disturbance, it is shown that only one non-collocated…
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…
A Class of Linear Boundary Systems with Delays in State, Input and Boundary Output
Zhan-Dong Mei, Ji-Gen Peng
In this paper, we consider a class of linear boundary systems with delays in state, input and boundary output. We prove the well-posedness and derive some spectral properties of li…
Existence of mild solutions for Riemann-Liouville fractional differential equations with nonlocal conditions
Zhan-Dong Mei, Ji-Gen Peng
In this paper, we are concerned with the mild solutions of Riemann-Liouville fractional differential equations with nonlocal conditions in Banach space. We use Banach contraction p…
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…