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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

A biological regulatory network can be modeled as a discrete function that contains all available information on network component interactions. From this function we can derive a graph representation of the network structure as well as of…

Discrete Mathematics · Computer Science 2009-10-09 Heike Siebert

Many natural and man-made network systems need to maintain certain patterns, such as working at equilibria or limit cycles, to function properly. Thus, the ability to stabilize such patterns is crucial. Most of the existing studies on…

Optimization and Control · Mathematics 2025-09-30 Alberto Maria Nobili , Yuzhen Qin , Carlo Alberto Avizzano , Danielle S. Bassett , Fabio Pasqualetti

We design observer-based controllers to stabilise abstract linear boundary control systems on Hilbert spaces. Our main results introduce conditions for exponential, strong, and polynomial stability, and establish external well-posedness of…

Optimization and Control · Mathematics 2026-05-28 Mohamed Fkirine , Lassi Paunonen

This paper presents a new control, namely additive-state-decomposition dynamic inversion stabilized control, that is used to stabilize a class of multi-input multi-output (MIMO) systems subject to nonparametric time-varying uncertainties…

Systems and Control · Computer Science 2020-03-10 Quan Quan , Guangxun Du , Kai-Yuan Cai

This letter presents a data-driven framework for the design of stabilizing controllers from input-output data in the continuous-time, linear, and time-invariant domain. Rather than relying on measurements or reliable estimates of input and…

Optimization and Control · Mathematics 2026-02-18 Corrado Possieri

This paper proposes an adaptive tracking control with prescribed performance function for distributive cooperative control of highly nonlinear multi-agent systems. The use of such approach confines the tracking error within a large…

Optimization and Control · Mathematics 2018-10-30 Hashim A. Hashim , Sami El-Ferik , Frank L. Lewis

We consider the adaptive control problem for discrete-time, nonlinear stochastic systems with linearly parameterised uncertainty. Assuming access to a parameterised family of controllers that can stabilise the system in a bounded set within…

Systems and Control · Electrical Eng. & Systems 2025-11-24 Seth Siriya , Jingge Zhu , Dragan Nešić , Ye Pu

The dynamics of systems of interacting agents is determined by the structure of their coupling network. The knowledge of the latter is, therefore, highly desirable, for instance, to develop efficient control schemes, to accurately predict…

Adaptation and Self-Organizing Systems · Physics 2021-10-13 Melvyn Tyloo , Robin Delabays , Philippe Jacquod

The complexity of modern control systems necessitates architectures that achieve high performance while ensuring robust stability, particularly for nonlinear systems. In this work, we tackle the challenge of designing output-feedback…

Systems and Control · Electrical Eng. & Systems 2025-06-16 Clara Lucía Galimberti , Luca Furieri , Giancarlo Ferrari-Trecate

Given a family of systems, identifying stabilizing switching signals in terms of infinite walks constructed by concatenating cycles on the underlying directed graph of a switched system that satisfy certain conditions, is a well-known…

Systems and Control · Computer Science 2020-05-18 Atreyee Kundu

Influence diagram is a graphical representation of belief networks with uncertainty. This article studies the structural properties of a probabilistic model in an influence diagram. In particular, structural controllability theorems and…

Artificial Intelligence · Computer Science 2013-03-25 Brian Y. Chan , Ross D. Shachter

Robust stability and stochastic stability have separately seen intense study in control theory for many decades. In this work we establish relations between these properties for discrete-time systems and employ them for robust control…

Dynamical Systems · Mathematics 2020-04-20 Benjamin Gravell , Peyman Mohajerin Esfahani , Tyler Summers

We consider a basic model of a dynamical distribution network, modeled as a directed graph with storage variables corresponding to every vertex and flow inputs corresponding to every edge, subject to unknown but constant inflows and…

Optimization and Control · Mathematics 2014-03-21 Jieqiang Wei , Arjan J. van der Schaft

This paper studies a fundamental relation that exists between stabilizability assumptions usually employed in distributed model predictive control implementations, and the corresponding notions of invariance implicit in such controllers.…

Systems and Control · Computer Science 2016-11-03 Bernardo Hernandez , Pablo Baldivieso , Paul Trodden

This paper investigates the decentralized stabilization problem for a class of interconnected systems in the presence of non-triangular structural uncertainties and time-varying parameters, where each subsystem exchanges information only…

Systems and Control · Electrical Eng. & Systems 2022-08-02 Libei Sun , Xiucai Huang , Yongduan Song

We present a framework for constructing a structured realization of a linear time-invariant dynamical system solely from a discrete sampling of an input and output trajectory of the system. We estimate the transfer function of the original…

Optimization and Control · Mathematics 2019-02-15 Elliot Fosong , Philipp Schulze , Benjamin Unger

We consider a distributed system with identical agents, constant-spacing policy and asymmetric bidirectional control, where the asymmetry is due to different controllers, which we describe by transfer functions. By applying the wave…

Systems and Control · Computer Science 2016-11-17 Dan Martinec , Ivo Herman , Michael Šebek

Motivated by the fact that transfer functions do not contain structural information about networks, dynamical structure functions were introduced to capture causal relationships between measured nodes in networks. From the dynamical…

Systems and Control · Computer Science 2014-12-09 Ye Yuan , Keith Glover , Jorge Goncalvees

Recently, a framework for controller design of sampled-data nonlinear systems via their approximate discrete-time models has been proposed in the literature. In this paper we develop novel tools that can be used within this framework and…

Optimization and Control · Mathematics 2007-05-23 Dragan Nesic , Antonio Loria
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