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The concept of a controlled flow of a dynamical system, especially when the controlling process feeds information back about the system, is of central importance in control engineering. In this paper we build on the ideas presented by…

Quantum Physics · Physics 2017-08-02 John E. Gough

This paper gives an overview of the use of control systems engineering in synthetic biology, motivated by applications such as cell therapy and cell fate reprogramming for regenerative medicine. A ubiquitous problem in these and other…

Systems and Control · Electrical Eng. & Systems 2026-01-29 Domitilla Del Vecchio

One of the basic frameworks in science views behavioral products as a process within a dynamic system. The mechanism might be seen as a representation of many instances of centralized control in real time. Many real systems, however,…

Dynamical Systems · Mathematics 2019-08-19 Chulwook Park

We are interested in the control of forming processes for nonlinear material models. To develop an online control we derive a novel feedback law and prove a stabilization result. The derivation of the feedback control law is based on a…

Optimization and Control · Mathematics 2021-04-13 Markus Bambach , Michael Herty , Muhammad Imran

A common approach in robotics is to learn tasks by generalizing from special cases given by a so-called demonstrator. In this paper, we apply this paradigm and present an algorithm that uses a demonstrator (typically given by a trajectory…

Systems and Control · Electrical Eng. & Systems 2024-03-08 Jiří Fejlek , Stefan Ratschan

Because organisms are able to sense its passage, it is perhaps tempting to treat time as a sensory modality, akin to vision or audition. Indeed, certain features of sensory estimation, such as Weber's law, apply to timing and sensation…

Neurons and Cognition · Quantitative Biology 2025-04-01 Caroline Haimerl , Filipe S. Rodrigues , Joseph J. Paton

Enviroment - caused dissipation disrupts the hamiltonian evolution of all quantum systems not fully isolated from any bath. We propose and examine a feedback-control scheme to eliminate such dissipation, by tracking the free hamiltonian…

Quantum Physics · Physics 2007-05-23 Gil Katz , Mark Ratner , Ronnie Kosloff

One of the most popular methods of controlling dynamical systems is feedback. It can be used without acquiring detailed knowledge of the underlying system. In this work, we study the stability of fractional-order linear difference equations…

Dynamical Systems · Mathematics 2023-04-26 Divya D. Joshi , Sachin Bhalekar , Prashant M. Gade

Feedback circuits in biochemical networks which underly cellular signaling pathways are important elements in creating complex behavior. A specific aspect thereof is how stability of equilibrium points depends on model parameters. For…

Molecular Networks · Quantitative Biology 2007-11-20 Steffen Waldherr , Frank Allgower

The internal model principle, originally proposed in the theory of control of linear systems, nowadays represents a more general class of results in control theory and cybernetics. The central claim of these results is that, under suitable…

Optimization and Control · Mathematics 2025-04-22 Manuel Baltieri , Martin Biehl , Matteo Capucci , Nathaniel Virgo

The present paper studies a feedback regulation problem, which may be interpreted as an adaptive control problem, but has not yet been studied in the control literature. The problem, which arises in at least two different biological…

Optimization and Control · Mathematics 2007-05-23 Luc Moreau , Eduardo Sontag , Murat Arcak

Reaction-diffusion systems offer a powerful framework for understanding self-organized patterns in biological systems, yet controlling these patterns remains a significant challenge. As a consequence, we present a rigorous framework of…

Optimization and Control · Mathematics 2026-04-13 Mohamed Amine Ouchdiri , Hamza Faquir , Saad Benjelloun , Mohamed Adlene Maghenem , Irene Otero-Muras , Adnane Saoud

The purpose of this paper is to highlight the central role that the time asymmetry of stability plays in feedback control. We show that this provides a new perspective on the use of doubly-infinite or semi-infinite time axes for signal…

Dynamical Systems · Mathematics 2015-02-24 Tryphon T. Georgiou , Malcolm C. Smith

By incorporating feedback loops, that engender amplification and damping so that output is not proportional to input, the biological neural networks become highly nonlinear and thus very likely chaotic in nature. Research in control theory…

Neurons and Cognition · Quantitative Biology 2022-12-22 Fan Zhang

Life depends as much on the flow of information as on the flow of energy. Here we review the many efforts to make this intuition precise. Starting with the building blocks of information theory, we explore examples where it has been…

Quantitative Methods · Quantitative Biology 2014-12-31 Gašper Tkačik , William Bialek

The molecular network in an organism consists of transcription/translation regulation, protein-protein interactions/modifications and a metabolic network, together forming a system that allows the cell to respond sensibly to the multiple…

Molecular Networks · Quantitative Biology 2007-05-23 Sandeep Krishna , Anna M. C. Andersson , Szabolcs Semsey , Kim Sneppen

In a paper by Willems and coauthors it was shown that persistently exciting data can be used to represent the input-output behavior of a linear system. Based on this fundamental result, we derive a parametrization of linear feedback systems…

Systems and Control · Computer Science 2019-09-10 Claudio De Persis , Pietro Tesi

A common theme in all the above areas is designing a dynamical system to accomplish desired objectives, possibly in some predefined optimal way. Since control theory advances the idea of suitably modifying the behavior of a dynamical…

Optimization and Control · Mathematics 2024-07-03 Revati Gunjal , Syed Shadab Nayyer , Sushama Wagh , Navdeep Singh

Organisms are equipped with regulatory systems that display a variety of dynamical behaviours ranging from simple stable steady states, to switching and multistability, to oscillations. Earlier work has shown that oscillations in protein…

Molecular Networks · Quantitative Biology 2009-11-13 Simone Pigolotti , Sandeep Krishna , Mogens H. Jensen

Intermittent control has a long history in the physiological literature and there is strong experimental evidence that some human control systems are intermittent. Intermittent control has also appeared in various forms in the engineering…

Quantitative Methods · Quantitative Biology 2014-07-23 Peter Gawthrop , Henrik Gollee , Ian Loram
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