4 papers
Local integral input-to-state stability for non-autonomous infinite-dimensional systems
Yongchun Bi, Panyu Deng, Jun Zheng +1
In this paper, we prove comparison principles for nonlinear differential equations with time-varying coefficients and develop Lyapunov analytical tools for the integral input-to-st…
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…
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…
Input-to-State Stabilization of 1-D Parabolic PDEs under Output Feedback Control
Yongchun Bi, Jun Zheng, Guchuan Zhu
This paper addresses the problem of input-to-state stabilization for a class of parabolic equations with time-varying coefficients, as well as Dirichlet and Robin boundary disturba…