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We give answer to an open question by proving a sufficient optimality condition for state-linear optimal control problems with time delays in state and control variables. In the proof of our main result, we transform a delayed state-linear…

Optimization and Control · Mathematics 2019-04-03 Ana P. Lemos-Paiao , Cristiana J. Silva , Delfim F. M. Torres

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 stabilization problems for mean-field systems. There are two main…

Optimization and Control · Mathematics 2020-10-19 Xiao Ma , Qingyuan Qi , Xun Li , Huanshui Zhang

Iterative linear quadradic regulator(iLQR) has become a benchmark method to deal with nonlinear stochastic optimal control problem. However, it does not apply to delay system. In this paper, we extend the iLQR theory and prove new theorem…

Optimization and Control · Mathematics 2020-02-19 Cheng Ju , Yan Qin , Chunjiang Fu

We propose a distributed algorithm for controlling traffic signals, allowing constraints such as periodic switching sequences of phases and minimum and maximum green time to be incorporated. Our algorithm is adapted from backpressure…

Systems and Control · Computer Science 2014-07-07 Tichakorn Wongpiromsarn , Tawit Uthaicharoenpong , Emilio Frazzoli , Yu Wang , Danwei Wang

This paper studies the linear quadratic regulation (LQR) problem of unknown discrete-time systems via dynamic output feedback learning control. In contrast to the state feedback, the optimality of the dynamic output feedback control for…

Systems and Control · Electrical Eng. & Systems 2025-05-29 Kedi Xie , Martin Guay , Shimin Wang , Fang Deng , Maobin Lu

In this paper we propose and analyze a distributed algorithm for achieving globally optimal decisions, either estimation or detection, through a self-synchronization mechanism among linearly coupled integrators initialized with local…

Multiagent Systems · Computer Science 2009-11-13 Gesualdo Scutari , Sergio Barbarossa , Loreto Pescosolido

The H2 guaranteed cost decentralized control problem is investigated in this work. More specifically, on the basis of an appropriate H2 re-formulation that we put in place, the optimal control problem in the presence of parameter…

Optimization and Control · Mathematics 2021-01-13 Jun Ma , Zilong Cheng , Xiaoxue Zhang , Masayoshi Tomizuka , Tong Heng Lee

We study the optimal control of propagation of packets in delay tolerant mobile ad-hoc networks. We consider a two-hop forwarding policy under which the expected number of nodes carrying copies of the packets obeys a linear dynamics. We…

Networking and Internet Architecture · Computer Science 2009-11-18 Eitan Altman , Tamer Basar , Francesco De Pellegrini

We introduce the family of limited model information control design methods, which construct controllers by accessing the plant's model in a constrained way, according to a given design graph. We investigate the closed-loop performance…

Optimization and Control · Mathematics 2013-01-08 Farhad Farokhi , Cedric Langbort , Karl H. Johansson

A multi-agent optimization problem motivated by the management of energy systems is discussed. The associated cost function is separable and convex although not necessarily strongly convex and there exist edge-based coupling equality…

Optimization and Control · Mathematics 2022-06-03 Wicak Ananduta , Angelia Nedić , Carlos Ocampo-Martinez

We consider an optimal control problem with tracking-type cost functional constrained by the Cattaneo equation, which is a well-known model for delayed heat transfer. In particular, we are interested the asymptotic behaviour of the optimal…

Optimization and Control · Mathematics 2025-10-14 Sebastian Blauth , René Pinnau , Matthias Andres , Claudia Totzeck

Motivated by the fact that intelligent traffic control systems have become inevitable demand to cope with the risk of traffic congestion in urban areas, this paper develops a distributed control strategy for urban traffic networks. Since…

Systems and Control · Electrical Eng. & Systems 2020-05-06 Viet Hoang Pham , Kazunori Sakurama , Shaoshuai Mou , Hyo-Sung Ahn

We investigate a stochastic optimal control problem where the controlled system is depicted as a stochastic differential delayed equation; however, at the terminal time, the state is constrained in a convex set. We firstly introduce an…

Probability · Mathematics 2017-05-12 Jiaqiang Wen , Yufeng Shi

We introduce a novel data-driven method to mitigate the risk of cascading failures in delayed discrete-time Linear Time-Invariant (LTI) systems. Our approach involves formulating a distributionally robust finite-horizon optimal control…

Optimization and Control · Mathematics 2023-10-19 Guangyi Liu , Arash Amini , Vivek Pandey , Nader Motee

This paper studies stochastic aperiodic stabilization of a networked control system (NCS) consisting of a continuous-time plant and a discrete-time controller. The plant and the controller are assumed to be connected by communication…

Systems and Control · Electrical Eng. & Systems 2022-03-08 Yohei Hosoe

Designing distributed optimal controllers subject to communication constraints is a difficult problem unless structural assumptions are imposed on the underlying dynamics and information exchange structure, e.g., sparsity, delay, or spatial…

Systems and Control · Electrical Eng. & Systems 2022-10-31 Fengjun Yang , Fernando Gama , Somayeh Sojoudi , Nikolai Matni

Control of wireless multihop networks, while simultaneously meeting end-to-end mean delay requirements of different flows is a challenging problem. Additionally, distributed computation of control parameters adds to the complexity. Using…

Networking and Internet Architecture · Computer Science 2017-11-06 Ashok Krishnan K. S. , Vinod Sharma

In this paper, we study distributed estimation and control problems over graphs under partially nested information patterns. We show a duality result that is very similar to the classical duality result between state estimation and state…

Optimization and Control · Mathematics 2012-09-17 Ather Gattami , Sanjoy Mitter

This paper considers an internal model based distributed control approach to the cooperative output regulation problem of heterogeneous linear time-invariant multiagent systems over fixed directed communication graph topologies. First, a…

Optimization and Control · Mathematics 2019-08-16 Selahattin Burak Sarsilmaz , Tansel Yucelen

In this work we focus our attention on distributed optimization problems in the context where the communication time between the server and the workers is non-negligible. We obtain novel methods supporting bidirectional compression (both…

Optimization and Control · Mathematics 2023-05-23 Kaja Gruntkowska , Alexander Tyurin , Peter Richtárik