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20132023
most citedOptimal Control with Irregular Performance

28 citations · 67 across the 39 of their papers we have counts for

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38 papers · 1 filter

math.OC2023

An Approach to Mismatched Disturbance Rejection Control for Continuous-Time Uncontrollable Systems

Shichao Lv, Hongdan Li, Kai Peng +2

This paper focuses on optimal mismatched disturbance rejection control for linear continuoustime uncontrollable systems. Different from previous studies, by introducing a new quadr…

math.OC2023★ 1 cited

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…

math.OC2022

An Approach to Mismatched Disturbance Rejection Control for Uncontrollable Systems

Shichao Lv, Hongdan Li, Kai Peng +1

This study focuses on the problem of optimal mismatched disturbance rejection control for uncontrollable linear discrete-time systems. In contrast to previous studies, by introduci…

math.OC2022

Distributed Control of Linear Quadratic Mean Field Social Systems with Heterogeneous Agents

Yong Liang, Bingchang Wang, Huanshui Zhang

In this paper, we study the social optimality for mean field linear quadratic control systems following the direct approach, where subsystems are coupled via individual dynamics an…

math.OC2022★ 1 cited

Decentralized Strategies for Finite Population Linear-Quadratic-Gaussian Games and Teams

Bing-Chang Wang, Huanshui Zhang, Minyue Fu +1

This paper is concerned with a new class of mean-field games which involve a finite number of agents. Necessary and sufficient conditions are obtained for the existence of the dece…

math.OC2022★ 1 cited

LQG Differential Stackelberg Game under Nested Observation Information Pattern

Zhipeng Li, Damian Marelli, Minyue Fu +1

We investigate the linear quadratic Gaussian Stackelberg game under a class of nested observation information pattern. Two decision makers implement control strategies relying on d…

math.OC2022★ 1 cited

Mismatched Disturbance Rejection Control for Second-Order Discrete-Time Systems

Shichao Lv, Kai Peng, Hongxia Wang +1

This paper is concerned with mismatched disturbance rejection control for the second-order discrete-time systems.Different from previous work, the controllability of the system is…

math.OC2021

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…

math.OC2020

Optimal control and stablilization for linear continuous-time mean-field systems with delay

Xiao Ma, Qingyuan Qi, Xun Li +1

This paper studies optimal control and stabilization problems for continuous-time mean-field systems with input delay, which are the fundamental development of control and stabiliz…

math.OC2020

Optimal Control for Discrete-time NCSs with Input Delay and Markovian Packet Losses: Hold-Input Case

Hongdan Li, Xun Li, Huanshui Zhang

This paper is concerned with the linear quadratic optimal control problem for networked system simultaneously with input delay and Markovian dropout. Different from the results in…

math.OC2020

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…

math.OC2020

Indefinite Linear Quadratic Mean Field Social Control Problems with Multiplicative Noise

Bingchang Wang, Huanshui Zhang

This paper studies uniform stabilization and social optimality for linear quadratic (LQ) mean field control problems with multiplicative noise, where agents are coupled via dynamic…

math.OC2020

Optimal Local and Remote Controls of Multiple Systems with Multiplicative Noises and Unreliable Uplink Channels

Qingyuan Qi, Lihua Xie, Huanshui Zhang

In this paper, the optimal local and remote linear quadratic (LQ) control problem is studied for a networked control system (NCS) which consists of multiple subsystems and each of…

math.OC2020★ 1 cited

Mean Field Linear Quadratic Control: Uniform Stabilization and Social Optimality

Bing-Chang Wang, Huanshui Zhang, Ji-Feng Zhang

This paper is concerned with uniform stabilization and social optimality for general mean field linear quadratic control systems, where subsystems are coupled via individual dynami…

math.OC2020

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…

math.OC2019

Optimal Decentralized Control with Asymmetric Partial Information Sharing

Xiao Liang, Qingyuan Qi, Huanshui Zhang +1

This paper considers the optimal decentralized control for networked control systems (NCSs) with asymmetric partial information sharing between two controllers. In this NCSs model,…

math.OC2019

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…

math.OC2019★ 1 cited

Stabilization Control for ItO Stochastic System with Indefinite State and Control Weight Costs

Hongdan Li, Qingyuan Qi, Huanshui Zhang

In standard linear quadratic (LQ) control, the first step in investigating infinite-horizon optimal control is to derive the stabilization condition with the optimal LQ controller.…

math.OC2019

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…

math.OC2019★ 4 cited

Mean Field Games for Multi-agent Systems with Multiplicative Noises

Bing-Chang Wang, Yuan-Hua Ni, Huanshui Zhang

This paper studies mean field games for multi-agent systems with control-dependent multiplicative noises. For the general systems with nonuniform agents, we obtain a set of decentr…

math.OC2019

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…

math.OC2019

Mean Field Linear Quadratic Control: FBSDE and Riccati Equation Approaches

Bingchang Wang, Huanshui Zhang

This paper studies social optima and Nash games for mean field linear quadratic control systems, where subsystems are coupled via dynamics and individual costs. For the social cont…

math.OC2019★ 1 cited

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…

math.OC2019

Optimal Stabilization Control for Discrete-time Markov Jump Linear System with Control Input Delay

Chunyan Han, Hongdan Li, Huanshui Zhang

This paper will investigate the infinite horizon optimal control and stabilization problems for the Markov jump linear system (MJLS) subject to control input delay. Different from…