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Based on the principle of chaotification for continuous-time autonomous systems, which relies on two basic properties of chaos, i.e., globally bounded with necessary positive-zero-negative Lyapunov exponents, this paper derives a feasible…

Chaotic Dynamics · Physics 2016-12-21 Simin Yu , Guanrong Chen

In this paper, we address the problem of controlling a system over an unreliable connection that is affected by time-varying delays and randomly occurring packet losses. A novel sequence-based approach is proposed that extends a given…

Systems and Control · Computer Science 2012-06-13 Achim Hekler , Jörg Fischer , Uwe D. Hanebeck

We propose a simple and new unified method to achieve lag, complete and anticipatory synchronizations in coupled nonlinear systems. It can be considered as an alternative to the subsystem and intentional parameter mismatch methods. This…

Chaotic Dynamics · Physics 2016-04-20 K. Srinivasan , V. K Chandrasekar , R. Gladwin Pradeep , K. Murali , M. Lakshmanan

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

This article presents a novel class of control policies for networked control of Lyapunov-stable linear systems with bounded inputs. The control channel is assumed to have i.i.d. Bernoulli packet dropouts and the system is assumed to be…

Optimization and Control · Mathematics 2017-11-27 Prabhat K. Mishra , Debasish Chatterjee , Daniel E. Quevedo

Linear control theory is used to develop an improved localized control scheme for spatially extended chaotic systems, which is applied to a Coupled Map Lattice as an example. The optimal arrangement of the control sites is shown to depend…

chao-dyn · Physics 2009-10-30 R. O. Grigoriev , M. C. Cross , H. G. Schuster

A network of chaotic systems can be designed in such a way that the cluster patterns formed by synchronous nodes can be controlled through the coupling parameters. We present a novel approach to exploit such a network for covert…

Information Theory · Computer Science 2023-12-11 Zekeriya Sarı , Serkan Günel

We develop a principled mathematical framework for controlling nonlinear, networked dynamical systems. Our method integrates dimensionality reduction, bifurcation theory and emerging model discovery tools to find low-dimensional subspaces…

Dynamical Systems · Mathematics 2020-06-24 Megan Morrison , J. Nathan Kutz

Networked control systems (NCS) are spatially distributed systems where communication among plants, sensors, actuators and controllers occurs in a shared communication network. NCS have been studied for the last ten years and important…

Systems and Control · Computer Science 2015-03-20 Alessandro Borri , Giordano Pola , Maria Domenica Di Benedetto

Chaotic systems which are due to nonlinearity have attracted a great concern in the current world and chaotic models. Systems for a wide range of operation conditions have their application in almost all branches of engineering and science.…

Physics and Society · Physics 2022-09-09 Amin Gasmi

The robust disturbance rejection controller has been the subject of intensive research due to its undeniable importance for automation. Modern control theory tends to use model-based approaches versus model-free approaches, especially when…

Systems and Control · Electrical Eng. & Systems 2022-01-03 Atta Oveisi

We investigate the stability problem for discrete-time stochastic switched linear systems under the specific scenarios where information about the switching patterns and the probability of switches are not available. Our analysis focuses on…

Systems and Control · Computer Science 2018-04-23 Ahmet Cetinkaya , Hideaki Ishii , Tomohisa Hayakawa

This paper addresses the problem of optimally controlling nonlinear systems with norm-bounded disturbances and parametric uncertainties while robustly satisfying constraints. The proposed approach jointly optimizes a nominal nonlinear…

Systems and Control · Electrical Eng. & Systems 2023-09-14 Antoine P. Leeman , Jerome Sieber , Samir Bennani , Melanie N. Zeilinger

Firing patterns in the central nervous system often exhibit strong temporal irregularity and heterogeneity in their time averaged response properties. Previous studies suggested that these properties are outcome of an intrinsic chaotic…

Disordered Systems and Neural Networks · Physics 2015-11-25 Jonathan Kadmon , Haim Sompolinsky

This paper studies the structural controllability of a class of uncertain switched linear systems, where the parameters of subsystems state matrices are either unknown or zero. The structural controllability is a generalization of the…

Systems and Control · Computer Science 2013-08-27 Xiaomeng Liu , Hai Lin , Ben M. Chen

This paper discusses the interplay of symmetries and stability in the analysis and control of nonlinear dynamical systems and networks. Specifically, it combines standard results on symmetries and equivariance with recent convergence…

Dynamical Systems · Mathematics 2015-05-20 Giovanni Russo , Jean-Jacques E. Slotine

We develop a dynamic model of cascading failures in a financial network whereby cross-holdings are viewed as feedback, external assets investments as inputs and failure penalties as static nonlinearities. We provide sufficient milder and…

Optimization and Control · Mathematics 2023-07-06 Stefanny Ramirez , Maaike Odijk , Dario Bauso

We describe adaptive control algorithms whereby a chaotic dynamical system can be steered to a target state with desired characteristics. A specific implementation considered has the objective of directing the system to a state which is…

chao-dyn · Physics 2009-10-31 Ramakrishna Ramaswamy , Sudeshna Sinha , Neelima Gupte

Oscillatory behavior is ubiquitous in many natural and engineered systems, often emerging through self-regulating mechanisms. In this paper, we address the challenge of stabilizing a desired oscillatory pattern in a networked system where…

Systems and Control · Electrical Eng. & Systems 2025-02-05 Luis Guillermo Venegas-Pineda , Hildeberto Jardón-Kojakhmetov , Ming Cao

In this work, we demonstrate the open-loop control of chaotic systems by means of optimized periodic signals. The use of such signals enables us to reduce control power significantly in comparison to simple harmonic perturbations. It is…

chao-dyn · Physics 2009-10-28 Robert Mettin , Thomas Kurz
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