46 citations · 79 across the 28 of their papers we have counts for
5 papers · 2 filters
Input-to-State Stabilization of a Coupled ODE-PDE System with Time-Varying Coefficients via Composite Boundary Control
Yongchun Bi, Jun Zheng, Guchuan Zhu +1
This paper proposes a novel composite boundary feedback control law that ensures input-to-state stability (ISS) for a coupled ODE-parabolic PDE system with time-varying coefficient…
Unified Lyapunov Method for ISS of PDEs: A Tutorial on Constructing Generalized Lyapunov Functionals for Parabolic and Hyperbolic Equations
Jun Zheng, Guchuan Zhu
This tutorial provides an overview of the generalized Lyapunov method (GLM) for analyzing input-to-state stability (ISS) of partial differential equations (PDEs). We begin by revis…
A Spectral-based ISS small-gain theorem for boundary control systems with infinite couplings
Yassine El Gantouh, Jun Zheng, Guchuan Zhu +1
We study the input-to-state stability (ISS) of boundary control systems allowing for infinitely many boundary couplings. Using semigroup perturbation theory and the theory of posit…
Well-posedness of boundary control systems and application to ISS for coupled heat equations with boundary disturbances and delays
Yassine El Gantouh, Jun Zheng, Guchuan Zhu
This paper studies the existence of solutions and, in particular, the well-posedness of a class of boundary control systems. Our main result provides explicit and verifiable condit…
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…