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We present a novel approach to control design for nonlinear systems which leverages model-free policy optimization techniques to learn a linearizing controller for a physical plant with unknown dynamics. Feedback linearization is a…

Quadratic invariance is a condition which has been shown to allow for optimal decentralized control problems to be cast as convex optimization problems. The condition relates the constraints that the decentralization imposes on the…

Optimization and Control · Mathematics 2011-09-29 Michael C. Rotkowitz , Nuno C. Martins

An information based method for solving stochastic control problems with partial observation has been proposed. First, the information-theoretic lower bounds of the cost function has been analysed. It has been shown, under rather weak…

Optimization and Control · Mathematics 2019-11-21 Piotr Bania

In this paper, we analyze a network of agents that communicate through the ``word of mouth," in which, every agent communicates only with its neighbors. We introduce the prescription approach, present some of its properties and show that it…

Optimization and Control · Mathematics 2020-09-24 Aditya Dave , Andreas A. Malikopoulos

Consider the problem of covertly controlling a linear system. In this problem, Alice desires to control (stabilize or change the behavior of) a linear system, while keeping an observer, Willie, unable to decide if the system is indeed being…

Information Theory · Computer Science 2022-12-05 Barak Amihood , Asaf Cohen

We study the problem of distributed control of large-scale robotic swarms which can be modeled as continuum densities evolving under the continuity equation. We propose a formalization of distributed controllers as (generally nonlinear)…

Systems and Control · Electrical Eng. & Systems 2026-05-01 Max Emerick , Saroj Prasad Chhatoi , Bassam Bamieh

This work presents the design of a reliable decentralized state feedback control for a class of uncertain interconnected polytopic continous systems. A model of failures in actuators is adopted which considers outages or partial degradation…

Optimization and Control · Mathematics 2007-05-23 Gisela Pujol , Jose Rodellar , Josep M. Rossell

Decentralized stochastic control problems with local information involve problems where multiple agents and subsystems which are coupled via dynamics and/or cost are present. Typically, however, the dynamics of such couplings is complex and…

Optimization and Control · Mathematics 2024-06-03 Zachary Selk , Serdar Yüksel

This paper considers a distributed reinforcement learning problem for decentralized linear quadratic control with partial state observations and local costs. We propose a Zero-Order Distributed Policy Optimization algorithm (ZODPO) that…

Systems and Control · Electrical Eng. & Systems 2020-10-26 Yingying Li , Yujie Tang , Runyu Zhang , Na Li

In this article, we consider a stochastic linear quadratic control problem with partial observation. A near optimal control in the weak formulation is characterized. The main features of this paper are the presence of the control in the…

Optimization and Control · Mathematics 2026-02-27 Jingrui Sun , Jiaqiang Wen , Jie Xiong , Wen Xu

It is well known that the "fixed spectrum" {i.e., the set of fixed modes} of a multi-channel linear system plays a central role in the stabilization of such a system with decentralized control. A parameterized multi-channel linear system is…

Signal Processing · Electrical Eng. & Systems 2022-06-24 Fengjiao Liu , A. Stephen Morse

Optimal control of stochastic nonlinear dynamical systems is a major challenge in the domain of robot learning. Given the intractability of the global control problem, state-of-the-art algorithms focus on approximate sequential optimization…

Machine Learning · Computer Science 2020-04-23 Joe Watson , Hany Abdulsamad , Jan Peters

From a mathematical point of view self-organization can be described as patterns to which certain dynamical systems modeling social dynamics tend spontaneously to be attracted. In this paper we explore situations beyond self-organization,…

Optimization and Control · Mathematics 2014-03-24 Marco Caponigro , Massimo Fornasier , Benedetto Piccoli , Emmanuel Trélat

In this article, we consider transport networks with uncertain demands. Network dynamics are given by linear hyperbolic partial differential equations and suitable coupling conditions, while demands are incorporated as solutions to…

Optimization and Control · Mathematics 2022-08-16 Simone Göttlich , Thomas Schillinger

In a decentralized and self-configuring network, the communication devices are considered as autonomous decision-makers that sense their environment and that implement optimal transmission schemes. It is essential that these autonomous…

Information Theory · Computer Science 2017-06-05 Maël Le Treust

We establish the existence of an optimal control for a general class of singular control problems with state constraints. The proof uses weak convergence arguments and a time rescaling technique. The existence of optimal controls for…

Probability · Mathematics 2007-05-23 Amarjit Budhiraja , Kevin Ross

Control of network systems with uncertain local dynamics has remained an open problem for a long time. In this paper, a distributed minimax adaptive control algorithm is proposed for such networks whose local dynamics has an uncertain…

Systems and Control · Electrical Eng. & Systems 2023-11-03 Venkatraman Renganathan , Anders Rantzer , Olle Kjellqvist

In this second part of our two-part paper, we invoke the stochastic maximum principle, conditional Hamiltonian and the coupled backward-forward stochastic differential equations of the first part [1] to derive team optimal decentralized…

Optimization and Control · Mathematics 2013-02-15 Charalambos D. Charalambous , Nasir U. Ahmed

We consider the problem of controlling marginally stable linear systems using bounded control inputs for networked control settings in which the communication channel between the remote controller and the system is unreliable. We assume…

Optimization and Control · Mathematics 2010-04-07 Debasish Chatterjee , Saurabh Amin , Peter Hokayem , John Lygeros , S. Shankar Sastry

Decentralized multiple access channels where each transmitter wants to selfishly maximize his transmission energy-efficiency are considered. Transmitters are assumed to choose freely their power control policy and interact (through…

Mathematical Physics · Physics 2010-07-29 Mael Le Treust , Samson Lasaulce