46 citations · 141 across the 23 of their papers we have counts for
16 papers · 1 filter
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…
Finite-time input-to-state stability for infinite-dimensional systems
Xiaorong Sun, Jun Zheng, Guchuan Zhu
In this paper, we extend the notion of finite-time input-to-state stability (FTISS) for finite-dimensional systems to infinite-dimensional systems. More specifically, we first prov…
Input-to-state stabilization of -D parabolic equations with Dirichlet boundary disturbances under boundary fixed-time control
Jun Zheng, Guchuan Zhu
This paper addresses the problem of stabilization of -D parabolic equations with destabilizing terms and Dirichlet boundary disturbances. By using the method of backstepping and…
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…
Power Tracking Control of Heterogeneous TCL Populations with Modeling Uncertainties and Communication Restrictions
Zhenhe Zhang, Jun Zheng, Guchuan Zhu
This paper presents a new aggregate power tracking control scheme for populations of thermostatically controlled loads (TCLs). The control design is carried out in the framework of…
Exponential stabilization and continuous dependence of solutions on initial data in different norms for space-time-varying linear parabolic PDEs
Qiaoling Chen, Jun Zheng, Guchuan Zhu
For an arbitrary parameter , we consider the problem of exponential stabilization in the spatial -norm, and -norm, respectively, for a class of an…
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 of a Clamped-Free Damped String in the Presence of Distributed and Boundary Disturbances
Hugo Lhachemi, David Saussié, Guchuan Zhu +1
This note establishes the Exponential Input-to-State Stability (EISS) property for a clamped-free damped string with respect to distributed and boundary disturbances. While efficie…
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…
A De Giorgi Iteration-based Approach for the Establishment of ISS Properties of a Class of Semi-linear Parabolic PDEs with Boundary and In-domain Disturbances
Jun Zheng, Guchuan Zhu
This paper addresses input-to-state stability (ISS) properties with respect to boundary and in-domain disturbances for a class of semi-linear partial differential equations (PDEs)…
Boundary Control of a Nonhomogeneous Flexible Wing with Bounded Input Disturbances
Hugo Lhachemi, David Saussié, Guchuan Zhu
This note deals with the boundary control problem of a nonhomogeneous flexible wing evolving under unsteady aerodynamic loads. The wing is actuated at its tip by flaps and is model…
Boundary feedback stabilization of a flexible wing model under unsteady aerodynamic loads
Hugo Lhachemi, David Saussié, Guchuan Zhu
This paper addresses the boundary stabilization of a flexible wing model, both in bending and twisting displacements, under unsteady aerodynamic loads, and in presence of a store.…
In-domain control of a heat equation: an approach combining zero-dynamics inverse and differential flatness
Jun Zheng, Guchuan Zhu
This paper addresses the set-point control problem of a heat equation with in-domain actuation. The proposed scheme is based on the framework of zero dynamics inverse combined with…
Flatness-based Deformation Control of an Euler-Bernoulli Beam with In-domain Actuation
Amir Badkoubeh, Jun Zheng, Guchuan Zhu
This paper addresses the problem of deformation control of an Euler-Bernoulli beam with in-domain actuation. The proposed control scheme consists in first relating the system model…