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This paper presents a distributed continuous-time optimization framework aimed at overcoming the challenges posed by time-varying cost functions and constraints in multi-agent systems, particularly those subject to disturbances. By…

Systems and Control · Electrical Eng. & Systems 2024-09-10 Zeinab Ebrahimi , Mohammad Deghat

This paper investigates optimal control problems for delayed systems governed by Infinitely Anticipated Backward Stochastic Differential Equations (IABSDEs). Unlike existing frameworks limited to bounded delays, we introduce a generalized…

Optimization and Control · Mathematics 2025-12-22 Guanwei Cheng

Distributionally robust control is a well-studied framework for optimal decision making under uncertainty, with the objective of minimizing an expected cost function over control actions, assuming the most adverse probability distribution…

Systems and Control · Electrical Eng. & Systems 2025-08-12 Alexandros E. Tzikas , Lukas Fiechtner , Arec Jamgochian , Mykel J. Kochenderfer

In this paper, we present Lyapunov-based robust and adaptive controllers for the finite time stabilization of a perturbed chain of integrators with bounded uncertainties. The proposed controllers can be designed for integrator chains of any…

Optimization and Control · Mathematics 2013-05-31 Mohamed Harmouche , Salah Laghrouche , Yacine Chitour

We present stability conditions for deterministic time-varying nonlinear discrete-time systems whose inputs aim to minimize an infinite-horizon time-dependent cost. Global asymptotic and exponential stability properties for general…

Systems and Control · Electrical Eng. & Systems 2023-08-28 Sifeddine Benahmed , Romain Postoyan , Mathieu Granzotto , Lucian Buşoniu , Jamal Daafouz , Dragan Nešić

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

This paper investigates the synthesis of distributed economic control algorithms under which dynamically coupled physical systems are regulated to a variational equilibrium of a constrained convex game. We study two complementary cases: (i)…

Optimization and Control · Mathematics 2021-08-25 Yang Lu , Minghui Zhu

In this paper, we consider optimal control of stochastic differential equations subject to an expected path constraint. The stochastic maximum principle is given for a general optimal stochastic control in terms of constrained FBSDEs. In…

Optimization and Control · Mathematics 2022-08-16 Ying Hu , Shanjian Tang , Zuo Quan Xu

This paper investigates the near optimal control for a kind of linear stochastic control systems governed by the forward backward stochastic differential equations, where both the drift and diffusion terms are allowed to depend on controls…

Optimization and Control · Mathematics 2015-01-23 Liangquan Zhang , Jianhui Huang , Xun Li

We a controlled system driven by a coupled forward-backward stochastic differential equation (FBSDE) with a non degenerate diffusion matrix. The cost functional is defined by the solution of the controlled backward stochastic differential…

Optimization and Control · Mathematics 2017-02-02 Khaled Bahlali , Omar Kebiri , Brahim Mezerdi , Ahmed Mtiraoui

This article presents a constrained policy optimization approach for the optimal control of systems under nonstationary uncertainties. We introduce an assumption that we call Markov embeddability that allows us to cast the stochastic…

Optimization and Control · Mathematics 2026-05-11 Sungho Shin , François Pacaud , Emil Contantinescu , Mihai Anitescu

In this paper we provide a set of stability conditions for linear time-invariant networked control systems with arbitrary topology, using a Lyapunov direct approach. We then use these stability conditions to provide a novel low-complexity…

Optimization and Control · Mathematics 2014-01-27 Mohammad Razeghi-Jahromi , Alireza Seyedi

This paper is concerned with uniform stabilization and social optimality for general mean field linear quadratic control systems, where subsystems are coupled via individual dynamics and costs, and the state weight is not assumed with the…

Optimization and Control · Mathematics 2020-03-02 Bing-Chang Wang , Huanshui Zhang , Ji-Feng Zhang

This paper is concerned with a discounted optimal control problem of partially observed forward-backward stochastic systems with jumps on infinite horizon. The control domain is convex and a kind of infinite horizon observation equation is…

Optimization and Control · Mathematics 2022-01-04 Yueyang Zheng , Jingtao Shi

This paper deals with the finite horizon optimal control problem for discrete-time Markov jump linear system with input delay. The correlation among the jumping parameters and the input delay are considered simultaneously, which forms the…

Optimization and Control · Mathematics 2018-08-22 Chunyan Han , Hongdan Li , Huanshui Zhang

In this paper, we study the necessary and sufficient conditions for ensuring the well-posedness of the stochastic singular systems. Moreover, we investigate the stochastic singular linear-quadratic control problems, considering both finite…

Optimization and Control · Mathematics 2024-09-04 Mengzhen Li , Tianyang Nie , Zhen Wu

We introduce a class of distributed control policies for networks of discrete-time linear systems with polytopic additive disturbances. The objective is to restrict the network-level state and controls to user-specified polyhedral sets for…

Systems and Control · Computer Science 2017-09-29 Sadra Sadraddini , Calin Belta

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

We consider the problem of computing optimal linear control policies for linear systems in finite-horizon. The states and the inputs are required to remain inside pre-specified safety sets at all times despite unknown disturbances. In this…

Systems and Control · Computer Science 2019-12-17 Luca Furieri , Maryam Kamgarpour

We present a hierarchical model predictive control approach for large-scale systems based on dual decomposition. The proposed scheme allows coupling in both dynamics and constraints between the subsystems and generates a primal feasible…

Optimization and Control · Mathematics 2011-11-10 Minh Dang Doan , Tamás Keviczky , Bart De Schutter