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We propose a novel frequency control approach in between centralized and distributed architectures, that is a continuous-time feedback control version of the dual decomposition optimization method. Specifically, a convex combination of the…

Optimization and Control · Mathematics 2016-10-10 Florian Dörfler , Sergio Grammatico

We consider a system that is exactly controllable. For given initial state, terminal state and objective function, an optimal control is often well-defined. Such an optimal control has the disadvantage that although it works perfectly well…

Optimization and Control · Mathematics 2013-07-08 Martin Gugat

A control design approach is developed for a general class of uncertain strict-feedback-like nonlinear systems with dynamic uncertain input nonlinearities with time delays. The system structure considered in this paper includes a nominal…

Optimization and Control · Mathematics 2018-01-09 Prashanth Krishnamurthy , Farshad Khorrami

In this paper a four-dimensional hyperchaotic system with only one equilibrium is considered and its double Hopf bifurcations are investigated. The general post-bifurcation and stability analysis are carried out using the normal form of the…

Chaotic Dynamics · Physics 2012-11-21 Gaetana Gambino , Sudipto R. Choudhury

A novel adaptive control approach is proposed to solve the globally asymptotic state stabilization problem for uncertain pure-feedback nonlinear systems which can be transformed into the pseudo-affine form. The pseudo-affine pure-feedback…

Systems and Control · Computer Science 2016-09-29 Mingzhe Hou , Zongquan Deng , Guangren Duan

In this paper, we study the suppression of adiabatic decoherence in a three-level atom with $\Lambda$ configuration using bang-bang control technique. We have given the decoupling bang-bang operation group, and programmed a sequence of…

Quantum Physics · Physics 2007-05-23 Xiao-Shu Liu , Wu Re-bing , Yang Liu , Jing Zhang , Gui Lu Long

We present a self-organising, decentralised control method for material flows in networks. The concept applies to networks where time sharing mechanisms between conflicting flows in nodes are required and where a coordination of these local…

Physics and Society · Physics 2007-05-23 Stefan Lämmer , Hiroshi Kori , Karsten Peters , Dirk Helbing

We consider the problem of global stabilization of an unstable bioreactor model (e.g. for anaerobic digestion), when the measurements are discrete and in finite number ("quantized"), with control of the dilution rate. The model is a…

Optimization and Control · Mathematics 2015-08-12 Francis Mairet , Jean-Luc Gouzé

In exploring the simulation of human rhythmic perception and synchronization capabilities, this study introduces a computational model inspired by the physical and biological processes underlying rhythm processing. Utilizing a reservoir…

Neurons and Cognition · Quantitative Biology 2025-03-28 Zhongju Yuan , Wannes Van Ransbeeck , Geraint Wiggins , Dick Botteldooren

In this work we propose a novel strategy using techniques from systems theory to completely eliminate decoherence and also provide conditions under which it can be done so. A novel construction employing an auxiliary system, the bait, which…

Quantum Physics · Physics 2015-06-26 Narayan Ganesan , Tzyh Jong Tarn

In this paper, we propose a dynamic delayed feedback control approach for desynchronization of chaotic-bursting synchronous activities in an ensemble of globally coupled neuronal oscillators. We demonstrate that the difference signal…

Chaotic Dynamics · Physics 2015-06-19 Yanqiu Che , Tingting Yang , Ruixue Li , Huiyan Li , Chunxiao Han , Jiang Wang , Xile Wei

Oscillatory systems with time-delayed pulsatile feedback appear in various applied and theoretical research areas, and received a growing interest in the last years. For such systems, we report a remarkable scenario of destabilization of a…

Chaotic Dynamics · Physics 2015-05-28 Vladimir Klinshov , Leonhard Lücken , Dmitry Shchapin , Vladimir Nekorkin , Serhiy Yanchuk

Stabilizing unstable periodic orbits in a chaotic invariant set not only reveals information about its structure but also leads to various interesting applications. For the successful application of a chaos control scheme, convergence speed…

Adaptation and Self-Organizing Systems · Physics 2016-10-10 Christian Bick , Marc Timme , Christoph Kolodziejski

We design the controls of physical systems that are faced by uncertainties. The system dynamics are described by random hyperbolic balance laws. The control aims to steer the system to a desired state under uncertainties. We propose a…

Optimization and Control · Mathematics 2021-07-20 Stephan Gerster , Markus Bambach , Michael Herty , Muhammad Imran

We developed a strategy to control p53 levels when the p53 concentration falls below a desired threshold . Based on an established p53-MDM2 mathematical model that also incorporates microRNA regulators (p53-MDM2-miRNA), we applied a control…

Molecular Networks · Quantitative Biology 2015-10-15 Hsu Kiang Ooi , Lan Ma

We review some properties of dynamical systems with slowly varying parameters, when a parameter is moved through a bifurcation point of the static system. Bifurcations with a single zero eigenvalue may create hysteresis cycles, whose area…

chao-dyn · Physics 2009-10-31 N. Berglund

This paper addresses the oscillatory synchronization problem for multiple uncertain mechanical systems with a virtual leader, and the interaction topology among them is assumed to contain a directed spanning tree. We propose an adaptive…

Systems and Control · Computer Science 2015-03-18 Hanlei Wang

Period doubling bifurcation in buck converters is studied by using the harmonic balance method. A simple dynamic model of a buck converter in continuous conduction mode under voltage mode or current mode control is derived. This model…

Systems and Control · Computer Science 2012-10-30 Chung-Chieh Fang , Eyad H. Abed

In this paper, we study the indirect boundary stability and exact controllability of a one-dimensional Timoshenko system. In the first part of the paper, we consider the Timoshenko system with only one boundary fractional damping. We first…

Analysis of PDEs · Mathematics 2019-01-29 Mohammad Akil , Yacine Chitour , Mouhammad Ghader , Ali Wehbe

We study bifurcation behavior in periodic perturbations of two-dimensional symmetric systems exhibiting codimension-two bifurcations with a double eigenvalue when the frequencies of the perturbation terms are small. We transform the…

Dynamical Systems · Mathematics 2023-02-15 Kazuyuki Yagasaki