4 citations · 8 across the 3 of their papers we have counts for
7 papers · 1 filter
Approximations of Lyapunov functions for ISS analysis of a class of nonlinear parabolic PDEs
Jun Zheng, Guchuan Zhu
This paper addresses the input-to-state stability (ISS) and integral input-to-state stability (iISS) for a class of nonlinear higher dimensional parabolic partial differential equa…
A Note on the Maximum Principle-based Approach for ISS Analysis of Higher Dimensional Parabolic PDEs with Variable Coefficients
Jun Zheng, Guchuan Zhu
This paper presents a maximum principle-based approach in the establishment of input-to-state stability (ISS) for a class of nonlinear parabolic partial differential equations (PDE…
A weak maximum principle-based approach for input-to-state stability analysis of nonlinear parabolic PDEs with boundary disturbances
Jun Zheng, Guchuan Zhu
In this paper, we introduce a weak maximum principle-based approach to input-to-state stability (ISS) analysis for certain nonlinear partial differential equations (PDEs) with boun…
A De Giorgi Iteration-based Approach for the Establishment of ISS Properties for Burgers' Equation with Boundary and In-domain Disturbances
Jun Zheng, Guchuan Zhu
This note addresses input-to-state stability (ISS) properties with respect to (w.r.t.) boundary and in-domain disturbances for Burgers' equation. The developed approach is a combin…
ISS with Respect to Boundary and In-domain Disturbances for a Coupled Beam-String System
Jun Zheng, Hugo Lhachemi, Guchuan Zhu +1
This paper addresses the robust stability of a boundary controlled system coupling two partial differential equations (PDEs), namely beam and string equations, in the presence of b…
Regularity in the two-phase free boundary problems under non-standard growth conditions
Jun Zheng
In this paper, we prove several regularity results for the heterogeneous, two-phase free boundary problems $\mathcal {J}_γ(u)=\int_Ω\big(f(x,\nabla u)+λ_{+} (u^{+})^γ+λ_{-}(u^{-})^…