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The distributed optimal synchronization problem with linear quadratic cost is solved in this paper for multi-agent systems with an undirected communication topology. For the first time, the optimal synchronization problem is formulated as a…

Systems and Control · Computer Science 2018-05-08 Qishao Wang , Zhisheng Duan , Jingyao Wang , Guanrong Chen

A solution is given to the basic distributed feedback control problem for a multi-channel linear system assuming only that the system is jointly controllable, jointly observable and has an associated neighbor graph which is strongly…

Systems and Control · Electrical Eng. & Systems 2020-03-16 L. Wang , D. Fullmer , F. Liu , A. S. Morse

In literature, extensive research has been done with respect to synthesis of supervisory controllers. Such synthesized supervisors can be distributed for implementation on multiple physical controllers. This paper discusses a method for…

Formal Languages and Automata Theory · Computer Science 2021-02-22 R. H. J. Schouten , L. Moormann , J. M. van de Mortel-Fronczak , J. E. Rooda

System level synthesis is a promising approach that formulates structured optimal controller synthesis problems as convex problems. This work solves the distributed linear-quadratic regulator problem under communication constraints directly…

Systems and Control · Electrical Eng. & Systems 2022-10-31 Olle Kjellqvist , Jing Yu

This paper is concerned with the design of a linear control law for linear systems with stationary additive disturbances. The objective is to find a state feedback gain that minimizes a quadratic stage cost function, while observing chance…

Optimization and Control · Mathematics 2025-10-03 Georg Schildbach , Paul Goulart , Manfred Morari

In this paper it is established that any jointly controllable, jointly observable, multi-channel, discrete or continuous time linear system with a strongly connected neighbor (communication) graph can be exponentially stabilized with any…

Systems and Control · Electrical Eng. & Systems 2022-12-02 Fengjiao Liu , Lili Wang , Daniel Fullmer , A. Stephen Morse

Distributed control of large-scale systems is challenging due to the need for scalable and localized communication and computation. In this work, we introduce a Predictive System-Level Synthesis PredSLS framework that designs controllers by…

Systems and Control · Electrical Eng. & Systems 2025-08-20 Yifei Wu , Jing Yu , Tongxin Li

A method is presented for solving the discrete-time finite-horizon Linear Quadratic Regulator (LQR) problem subject to auxiliary linear equality constraints, such as fixed end-point constraints. The method explicitly determines an affine…

Systems and Control · Computer Science 2018-09-18 Forrest Laine , Claire Tomlin

We propose an online learning algorithm that adaptively designs a decentralized linear quadratic regulator when the system model is unknown a priori and new data samples from a single system trajectory become progressively available. The…

Optimization and Control · Mathematics 2024-07-08 Lintao Ye , Ming Chi , Ruiquan Liao , Vijay Gupta

In this paper, the finite horizon asymmetric information linear quadratic (LQ) control problem is investigated for a discrete-time mean field system. Different from previous works, multiple controllers with different information sets are…

Optimization and Control · Mathematics 2023-09-06 Qingyuan Qi , Zhiqiang Liu , Qianqian Zhang , Xinbei Lv

In this paper, we consider the problem of distributed optimal control of linear dynamical systems with a quadratic cost criterion. We study the case of output feedback control for two interconnected dynamical systems, and show that the…

Optimization and Control · Mathematics 2012-04-18 Ather Gattami , Omid Khorsand

The purpose of this paper is to study the mixed linear quadratic Gaussian (LQG) and $H_\infty$ optimal control problem for linear quantum stochastic systems, where the controller itself is also a quantum system, often referred to as…

Quantum Physics · Physics 2016-11-15 Lei Cui , Zhiyuan Dong , Guofeng Zhang , Heung Wing Joseph Lee

The optimal controller design problem for a linear, first-order spatially-invariant distributed parameter system is considered. Through a case study of the Linear Quadratic Regulator (LQR) problem for the diffusion equation over the torus,…

Optimization and Control · Mathematics 2026-03-20 Addie McCurdy , Andrew Gusty , Emily Jensen

In this paper we consider the distributed linear quadratic control problem for networks of agents with single integrator dynamics. We first establish a general formulation of the distributed LQ problem and show that the optimal control gain…

Optimization and Control · Mathematics 2019-05-14 Junjie Jiao , Harry L. Trentelman , M. Kanat Camlibel

This paper develops an optimal relative output-feedback based solution to the containment control problem of linear heterogeneous multi-agent systems. A distributed optimal control protocol is presented for the followers to not only assure…

Consider a network of multiple independent stochastic linear systems where, for each system, a scheduler collocated with the sensors arbitrates data transmissions to a corresponding remote controller through a shared contention-based…

Systems and Control · Electrical Eng. & Systems 2020-05-01 M. Balaghiinaloo , D. J. Antunes , M. H. Mamduhi , S. Hirche

This paper proposes a distributed controller synthesis framework for safe navigation of multi-agent systems. We leverage control barrier functions to formulate collision avoidance with obstacles and teammates as constraints on the control…

Systems and Control · Electrical Eng. & Systems 2024-05-03 Pol Mestres , Carlos Nieto-Granda , Jorge Cortés

Optimal control synthesis in stochastic systems with respect to quantitative temporal logic constraints can be formulated as linear programming problems. However, centralized synthesis algorithms do not scale to many practical systems. To…

Systems and Control · Computer Science 2015-03-26 Jie Fu , Shuo Han , Ufuk Topcu

Time distributed optimization is an implementation strategy that can significantly reduce the computational burden of model predictive control by exploiting its robustness to incomplete optimization. When using this strategy, optimization…

Optimization and Control · Mathematics 2020-04-14 Dominic Liao-McPherson , Marco Nicotra , Ilya Kolmanovsky

The convergence of policy gradient algorithms in reinforcement learning hinges on the optimization landscape of the underlying optimal control problem. Theoretical insights into these algorithms can often be acquired from analyzing those of…

Machine Learning · Computer Science 2023-11-01 Jingliang Duan , Wenhan Cao , Yang Zheng , Lin Zhao