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We present initial results regarding the existence, stability and interaction of linear and nonlinear vibrational modes in a system of two coupled, one dimensional lattices with unequal numbers of masses. The effects on these nonlinear…

Biological Physics · Physics 2007-05-23 Kyle Forinash

This paper proposes a neuro-adaptive distributive cooperative tracking control with prescribed performance function (PPF) for highly nonlinear multi-agent systems. PPF allows error tracking from a predefined large set to be trapped into a…

Optimization and Control · Mathematics 2018-11-20 Sami El-Ferik , Hashim. A. Hashim , Frank L. Lewis

Many cyber-physical systems can naturally be formulated as switched systems with constrained switching. This includes systems where one of the signals in the feedback loop may be lost. Possible sources for losses are shared or unreliable…

Systems and Control · Electrical Eng. & Systems 2024-11-14 Simon Lang , Marc Seidel , Frank Allgöwer

We consider flat differential control systems for which there exist flat outputs that are part of the state variables and study them using Jacobi bound. We introduce a notion of saddle Jacobi bound for an ordinary differential system of $n$…

Optimization and Control · Mathematics 2024-04-01 Yirmeyahu J. Kaminski , François Ollivier

The goal of the present article is to study controllability properties of mixed systems of linear parabolic-transport equations, with possibly non-diagonalizable diffusion matrix, on the one-dimensional torus. The equations are coupled by…

Optimization and Control · Mathematics 2023-01-03 Armand Koenig , Pierre Lissy

This paper presents a prototyping framework for distributed control of multi-robot systems, aimed at bridging theory and practical testing of distributed optimization algorithms. Using the Single Program, Multiple Data (SPMD) paradigm, the…

This paper considers the problem of decentralized analysis and control synthesis to verify and ensure properties like stability and dissipativity of a large-scale networked system comprised of linear subsystems interconnected in an…

Systems and Control · Electrical Eng. & Systems 2022-09-05 Shirantha Welikala , Hai Lin , Panos Antsaklis

Control of complex processes is a major goal of network analyses. Most approaches to control nonlinearly coupled systems require the network topology and/or network dynamics. Unfortunately, neither the full set of participating nodes nor…

Molecular Networks · Quantitative Biology 2014-12-23 Jason Shulman , Frank Malatino , Alexander Mo , Killian Ryan , Gemunu H. Gunaratne

We develop a discrete-time version of the blended dynamics theorem for the use of designing distributed computation algorithms. The blended dynamics theorem enables to predict the behavior of heterogeneous multi-agent systems. Therefore,…

Systems and Control · Electrical Eng. & Systems 2023-12-01 Jeong Woo Kim , Jin Gyu Lee , Donggil Lee , Hyungbo Shim

A key motivation in the development of Distributed Model Predictive Control (DMPC) is to accelerate centralized Model Predictive Control (MPC) for large-scale systems. DMPC has the prospect of scaling well by parallelizing computations…

Optimization and Control · Mathematics 2025-04-16 Gösta Stomberg , Maurice Raetsch , Alexander Engelmann , Timm Faulwasser

The stabilization of nonlinear systems under zero-state-detectability assumption or its analogues is considered. The proposed supervisory control provides a finite time practical stabilization of output and it is based on uniting local and…

Optimization and Control · Mathematics 2013-04-16 Denis Efimov , Alexander L. Fradkov

Determining whether a nonlinear multi-input system is differentially flat remains challenging. One way to obtain computationally tractable sufficient conditions is to give complete characterizations of flat normal forms. We introduce a…

Dynamical Systems · Mathematics 2025-11-17 Georg Hartl , Conrad Gstöttner , Markus Schöberl

This paper analyzes distributed control protocols for first- and second-order networked dynamical systems. We propose a class of nonlinear consensus controllers where the input of each agent can be written as a product of a nonlinear gain,…

Dynamical Systems · Mathematics 2014-10-01 Martin Andreasson , Dimos V. Dimarogonas , Henrik Sandberg , Karl H. Johansson

We propose a fully data-driven, Koopman-based framework for statistically robust control of discrete-time nonlinear systems with linear embeddings. Establishing a connection between the Koopman operator and contraction theory, it offers…

Robotics · Computer Science 2026-03-24 Koki Hirano , Hiroyasu Tsukamoto

In this paper, we present Neural-Swarm, a nonlinear decentralized stable controller for close-proximity flight of multirotor swarms. Close-proximity control is challenging due to the complex aerodynamic interaction effects between…

Robotics · Computer Science 2020-03-09 Guanya Shi , Wolfgang Hönig , Yisong Yue , Soon-Jo Chung

This paper considers the analysis and design of resilient/robust decentralized control systems. Specifically, we aim to assess how the pairing of sensors and actuators lead to architectures that are resilient to attacks/hacks for industrial…

Optimization and Control · Mathematics 2017-02-24 Sergio Pequito , Farshad Khorrami , Prashanth Krishnamurthy , George J. Pappas

This paper proposes a distributed design method of controllers having a glocal (global/local) information structure for large-scale network systems. Distributed design, independent design of all subcontrollers that constitute a structured…

Systems and Control · Electrical Eng. & Systems 2020-11-10 Hampei Sasahara , Takayuki Ishizaki , Jun-ichi Imura , Henrik Sandberg , Karl Henrik Johansson

Distributed formation maneuver control refers to the problem of maneuvering a group of agents to change their formation shape by adjusting the motions of partial agents, where the controller of each agent only requires local information…

Systems and Control · Electrical Eng. & Systems 2026-05-21 Tao He , Gangshan Jing

The leader-follower formation control analysis for multiple quad-rotor systems is investigated in this paper. To achieve predefined formation in the three-dimensional air space ($x,y$ and $z$), a novel local tracking control law and a…

Systems and Control · Electrical Eng. & Systems 2020-03-03 Lixia Yan , Baoli Ma

In this paper, we extend the results from Jiao et al. (2019) on distributed linear quadratic control for leaderless multi-agent systems to the case of distributed linear quadratic tracking control for leader-follower multi-agent systems.…

Optimization and Control · Mathematics 2019-11-27 Junjie Jiao , Harry L. Trentelman , M. Kanat Camlibel