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math.OC2026
Input-to-state stabilization of an ODE cascaded with a parabolic equation involving Dirichlet-Robin boundary disturbances
Yongchun Bi, Jun Zheng, Guchuan Zhu
This paper focuses on the input-to-state stabilization problem for an ordinary differential equation (ODE) cascaded by parabolic partial differential equation (PDE) in the presence…
math.OC2025
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…
math.OC2024
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…