142 citations · 182 across the 24 of their papers we have counts for
24 papers
Linear Quadratic Mean Field Stackelberg Games: Open-loop and Feedback Solutions
Bing-Chang Wang, Juanjuan Xu, Huanshui Zhang +1
This paper investigates open-loop and feedback solutions of linear quadratic mean field (MF) games with a leader and a large number of followers. The leader first gives its strateg…
Spectrum Assignment of Stochastic Systems with Multiplicative Noise
Xiaomin Xue, Juanjuan Xu, Huanshui Zhang
This paper studies the spectrum assignment of a class of stochastic systems with multiplicative noise. A novel -spectrum assignment is proposed for discrete-time and continuous-…
Stochastic Optimal Linear Quadratic Regulation Control of Discrete-time Systems with Delay and Quadratic Constraints
Dawei Liu, Juanjuan Xu, huanshui Zhang
This article explores the discrete-time stochastic optimal LQR control with delay and quadratic constraints. The inclusion of delay, compared to delay-free optimal LQR control with…
LQ Optimal Control of First-Order Hyperbolic PDE Systems with Final State Constraints
Xiaomin Xue, Juanjuan Xu, Huanshui Zhang +1
This paper studies the linear-quadratic (LQ) optimal control problem of a class of systems governed by the first-order hyperbolic partial differential equations (PDEs) with final s…
Exact Controllability of Discrete-Time Stochastic System with Multiplicative Noise
Juanjuan Xu, Huanshui Zhang
This paper is concerned with the exact controllability of discrete-time stochastic system which is one of the basic problems of modern control theory. Though the exact controllabil…
Distributed Optimal Control and Application to Consensus of Multi-Agent Systems
Liping Zhang, Juanjuan Xu, Huanshui Zhang +1
This paper develops a novel approach to the consensus problem of multi-agent systems by minimizing a weighted state error with neighbor agents via linear quadratic (LQ) optimal con…
Q-Learning for Linear Quadratic Optimal Control with Terminal State Constraint
Juanjuan Xu, Jingmei Liu, Zhaorong Zhang +1
This paper is concerned with the linear quadratic optimal control of discrete-time time-varying system with terminal state constraint. The main contribution is to propose a Q-learn…
Decentralized Control of Linear Systems with Private Input and Measurement Information
Juanjuan Xu, Huanshui Zhang
In this paper, we study the linear quadratic (LQ) optimal control problem of linear systems with private input and measurement information. The main challenging lies in the unavail…
Reinforcement Learning-Based Optimal Control for Multiplicative-Noise Systems with Input Delay
Hongxia Wang, Fuyu Zhao, Zhaorong Zhang +2
In this paper, the reinforcement learning (RL)-based optimal control problem is studied for multiplicative-noise systems, where input delay is involved and partial system dynamics…
Closed-Loop Stackelberg Strategy for Linear-Quadratic Leader-Follower Game
Hongdan Li, Juanjuan Xu, Hunashui Zhang
This paper is concerned with the closed-loop Stackelberg strategy for linear-quadratic leader-follower game. Completely different from the open-loop and feedback Stackelberg strate…
Distributed Q-Learning for Stochastic LQ Control with Unknown Uncertainty
Zhaorong Zhang, Juanjuan Xu, Xun Li
This paper studies a discrete-time stochastic control problem with linear quadratic criteria over an infinite-time horizon. We focus on a class of control systems whose system matr…
Stabilization of Stackelberg Game-Based Control Systems
Yue Sun, Juanjuan Xu, Huanshui Zhang
In this paper, we are concerned with the stabilizatbility of Stackelberg game-based systems. In particular, two players are involved in the system where one is the follower to mini…
A New Approach for Solving Delayed Forward and Backward Stochastic Differential Equations
Tianfu Ma, Juanjuan Xu, Huanshui Zhang
This paper is concerned with the decoupling of delayed linear forward-backward stochastic differential equations (D-FBSDEs), which is much more involved than the delay-free case du…
The Difference and Unity of Irregular LQ Control and Standard LQ Control and Its Solution
Huanshui Zhang, Juanjuan Xu
Irregular linear quadratic control (LQ, was called Singular LQ) has been a long-standing problem since 1970s. This paper will show that an irregular LQ control (deterministic) is s…
Optimal Control and Stabilization for Networked Control Systems with Asymmetric Information
Xiao Liang, Huanshui Zhang, Juanjuan Xu
This paper considers the optimal control and stabilization problems for networked control systems (NCSs) with asymmetric information. In this NCSs model, the remote controller can…
Optimal Control Problem for Discrete-Time Systems with Colored Multiplicative Noise
Hongdan Li, Juanjuan Xu, Huanshui Zhang
The optimal control problem for discrete-time systems with colored multiplicative noise is discussed in this paper. The problem will be more difficult to deal with than the case of…
Output Feedback Control for Irregular LQ Problem
Juanjuan Xu, Huanshui Zhang
In this paper, we study the irregular output feedback linear quadratic (LQ) control problem, which is a continuous work of previous works for irregular LQ control [33] where the st…
Deterministic Optimal Control of Ito Stochastic Systems with Random Coefficients
Hongdan Li, Juanjuan Xu, Huanshui Zhang
This paper is concerned with the deterministic optimal control of Ito stochastic systems with random coefficients. The necessary and sufficient conditions for the unique solvabilit…
Exponential Stabilization for Ito Stochastic Systems with Multiple Input Delays
Juanjuan Xu, Huanshui Zhang
In this paper, we study the stabilization problem for the Ito systems with both multiplicative noise and multiple delays which exist widely in applications such as networked contro…
Consensusability of Multi-agent Systems with Delay and Packet Dropout Under Predictor-like Protocols
Juanjuan Xu, Huanshui Zhang, Lihua Xie
This paper considers the consensusability of multi-agent systems with delay and packet dropout. By proposing a kind of predictor-like protocol, sufficient and necessary conditions…
Consensus Control of Multi-agent Systems with Optimal Performance
Juanjuan Xu, Huanshui Zhang
The consensus control with optimal cost remains major challenging although consensus control problems have been well studied in recent years. In this paper, we study the consensus…
Control for Networked Control Systems with Remote and Local Controllers over Unreliable Communication Channel
Xiao Liang, Juanjuan Xu
This paper is concerned with the problems of optimal control and stabilization for networked control systems (NCSs), where the remote controller and the local controller operate th…
On Irregular Linear Quadratic Control: Stochastic Case
Huanshui Zhang, Juanjuan Xu
As it is popular known, Riccati equation is the key basic tool for optimal control in the modern control theory. The solvability conditions of optimal control, stabilization condit…
Optimal Control with Irregular Performance
Huanshui Zhang, Juanjuan Xu
In this paper, we solve the long-standing fundamental problem of irregular linear--quadratic (LQ) optimal control, which has received significant attention since the 1960s. We deri…