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We consider the decentralized control of a discrete-time time-varying linear system subject to additive disturbances and polyhedral constraints on the state and input trajectories. The underlying system is composed of a finite collection of…

Optimization and Control · Mathematics 2021-08-10 Weixuan Lin , Eilyan Bitar

This paper studies the problem of selecting a minimum-size set of input nodes to guarantee stability of a networked system in the presence of uncertainties and time delays. Current approaches to input selection in networked dynamical…

Optimization and Control · Mathematics 2017-12-13 Zhipeng Liu , Yao Long , Andrew Clark , Phillip Lee , Linda Bushnell , Daniel Kirschen , Radha Poovendran

We consider the decentralized control of a discrete-time, linear system subject to exogenous disturbances and polyhedral constraints on the state and input trajectories. The underlying system is composed of a finite collection of…

Optimization and Control · Mathematics 2020-04-08 Weixuan Lin , Eilyan Bitar

In various neurological disorders spatio-temporal excitation patterns constitute examples of excitable behavior emerging from pathological pathways. During migraine, seizure, and stroke an initially localized pathological state can…

Pattern Formation and Solitons · Physics 2007-09-27 Markus A. Dahlem , Felix M. Schneider , Eckehard Schoell

We propose an optimal control approach in order to identify the nonlinearity in the monodomain model, from given data. This data-driven approach gives an answer to the problem of selecting the model when studying phenomena related to…

Optimization and Control · Mathematics 2022-09-22 Sebastien Court , Karl Kunisch

The evaluation of partition functions is a central problem in statistical physics. For lattice systems and other discrete models the partition function may be expressed as the contraction of a tensor network. Unfortunately computing such…

Computational Physics · Physics 2020-01-15 Adam S. Jermyn

We investigate the dynamics of a limit of interacting FitzHugh-Nagumo neurons in the regime of large interaction coefficients. We consider the dynamics described by a mean-field model given by a nonlinear evolution partial differential…

Analysis of PDEs · Mathematics 2018-12-03 Cristobal Quiñinao , Jonathan D. Touboul

Adaptive networks change their connectivity with time, depending on their dynamical state. While synchronization in structurally static networks has been studied extensively, this problem is much more challenging for adaptive networks. In…

Adaptation and Self-Organizing Systems · Physics 2021-01-20 Rico Berner , Simon Vock , Eckehard Schöll , Serhiy Yanchuk

This letter presents a new intelligent control scheme for the accurate trajectory tracking of flexible link manipulators. The proposed approach is mainly based on a sliding mode controller for underactuated systems with an embedded…

The minimum number of inputs needed to control a network is frequently used to quantify its controllability. Control of linear dynamics through a minimum set of inputs, however, often has prohibitively large energy requirements and there is…

Computational Engineering, Finance, and Science · Computer Science 2022-12-12 Samie Alizadeh , Márton Pósfai , Abdorasoul Ghasemi

In this paper we consider a general, challenging distributed optimization set-up arising in several important network control applications. Agents of a network want to minimize the sum of local cost functions, each one depending on a local…

Systems and Control · Computer Science 2018-06-15 Ivano Notarnicola , Giuseppe Notarstefano

Steering a complex system towards a desired outcome is a challenging task. The lack of clarity on the system's exact architecture and the often scarce scientific data upon which to base the operationalisation of the dynamic rules that…

Systems and Control · Computer Science 2016-08-03 Sotiris Moschoyiannis , Nicholas Elia , Alexandra S. Penn , David J. B. Lloyd , Chris Knight

Despite the significant advances in identifying the driver nodes and energy requiring in network control, a framework that incorporates more complicated dynamics remains challenging. Here, we consider the conformity behavior into network…

Physics and Society · Physics 2022-01-26 Zu-Yu Qian , Cheng Yuan , Jie Zhou , Shi-Ming Chen , Sen Nie

In this paper we study the controllability of networked systems with static network topologies using tools from algebraic graph theory. Each agent in the network acts in a decentralized fashion by updating its state in accordance with a…

Systems and Control · Computer Science 2013-02-12 Ahmet Yasin Yazicioglu , Waseem Abbas , Magnus Egerstedt

Reduction of a two-component FitzHugh-Nagumo model to a single-component model with long-range connection is considered on general networks. The reduced model describes a single chemical species reacting on the nodes and diffusing across…

Pattern Formation and Solitons · Physics 2020-02-19 Timoteo Carletti , Hiroya Nakao

A wide range of applications require or can benefit from collaborative behavior of a group of agents. The technical challenge addressed in this chapter is the development of a decentralized control strategy that enables each agent to…

Systems and Control · Computer Science 2014-02-26 Zhen Kan , John M. Shea , Warren E. Dixon

We consider the problem of reasoning about networked and layered control systems using assume-guarantee specifications. As these systems are formed by the interconnection of components that operate under various clocks, we introduce a new…

Systems and Control · Electrical Eng. & Systems 2024-07-02 Inigo Incer , Noel Csomay-Shanklin , Aaron Ames , Richard M. Murray

We consider the problem of designing distributed controllers to stabilize a class of networked systems, where each subsystem is dissipative and designs a reinforcement learning based local controller to maximize an individual cumulative…

Systems and Control · Electrical Eng. & Systems 2020-12-01 K. C. Kosaraju , S. Sivaranjani , W. Suttle , V. Gupta , J. Liu

Networked systems display complex patterns of interactions between a large number of components. In physical networks, these interactions often occur along structural connections that link components in a hard-wired connection topology,…

Neurons and Cognition · Quantitative Biology 2018-04-03 Jason Kim , Jonathan M. Soffer , Ari E. Kahn , Jean M. Vettel , Fabio Pasqualetti , Danielle S. Bassett

This paper studies the design of neural network (NN)-based controllers for unknown nonlinear systems, using contraction analysis. A Neural Ordinary Differential Equation (NODE) system is constructed by approximating the unknown draft…

Systems and Control · Electrical Eng. & Systems 2025-05-23 Hao Yin , Claudio De Persis , Bayu Jayawardhana , Santiago Sanchez Escalonilla Plaza