2 papers
math.OC2024
Finite-time input-to-state stability for infinite-dimensional systems
Xiaorong Sun, Jun Zheng, Guchuan Zhu
In this paper, we extend the notion of finite-time input-to-state stability (FTISS) for finite-dimensional systems to infinite-dimensional systems. More specifically, we first prov…
math.OC2024
Input-to-state stabilization of -D parabolic equations with Dirichlet boundary disturbances under boundary fixed-time control
Jun Zheng, Guchuan Zhu
This paper addresses the problem of stabilization of -D parabolic equations with destabilizing terms and Dirichlet boundary disturbances. By using the method of backstepping and…