4 citations · 8 across the 3 of their papers we have counts for
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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…
Aggregate Power Control of Heterogeneous TCL Populations Governed by Fokker-Planck Equations
Jun Zheng, Gabriel Laparra, Guchuan Zhu +1
This paper addresses the modeling and control of heterogeneous populations of thermostatically controlled loads (TCLs) operated by model predictive control (MPC) schemes at level o…
Input-to-State Stability with Respect to Boundary Disturbances for a Class of Semi-linear Parabolic Equations
Jun Zheng, Guchuan Zhu
This paper studies the input-to-state stability (ISS) properties based on the method of Lyapunov functionals for a class of semi-linear parabolic partial differential equations (PD…