46 citations · 79 across the 28 of their papers we have counts for
4 papers · 1 filter
A PDE--based Power Tracking Control of Heterogeneous TCL Populations
Jun Zheng, Guchuan Zhu, Meng Li
This chapter presents the development and the analysis of a scheme for aggregate power tracking control of heterogeneous populations of thermostatically controlled loads (TCLs) bas…
Relative Stability in the Sup-norm and Input-to-state Stability in the Spatial Sup-norm for Parabolic PDEs
Jun Zheng, Guchuan Zhu, Sergey Dashkovskiy
In this paper, we introduce the notion of relative -equi-stability (RKES) to characterize the uniformly continuous dependence of (weak) solutions on external disturban…
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…