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The ability to achieve precise and smooth trajectory tracking is crucial for ensuring the successful execution of various tasks involving robotic manipulators. State-of-the-art techniques require accurate mathematical models of the robot…

Robotics · Computer Science 2024-06-21 Mohamed Abdelwahab , Giulio Giacomuzzo , Alberto Dalla Libera , Ruggero Carli

Perfect adaptation is a phenomenon whereby the output variables of a system can maintain certain values despite external disturbances. Robust perfect adaptation (RPA) refers to an adaptation property that does not require fine-tuning of…

Molecular Networks · Quantitative Biology 2023-07-17 Yuji Hirono , Ankit Gupta , Mustafa Khammash

We study two specific measures of quality of chemical reaction networks, Precision and Sensitivity. The two measures arise in the study of sensory adaptation, in which the reaction network is viewed as an input-output system. Given a step…

Dynamical Systems · Mathematics 2016-01-05 Tom F. A. de Greef , Saeed Masroor , Mark A. Peletier , Rudi A. Pendavingh

We explore the range of probabilistic behaviours that can be engineered with Chemical Reaction Networks (CRNs). We show that at steady state CRNs are able to "program" any distribution with finite support in $\mathbb{N}^m$, with $m \geq 1$.…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-04-25 Luca Cardelli , Marta Kwiatkowska , Luca Laurenti

Principles of feedback control have been shown to naturally arise in biological systems and successfully applied to build synthetic circuits. In this work we consider Biochemical Reaction Networks (CRNs) as a paradigm for modelling…

Systems and Control · Computer Science 2019-03-26 Max Whitby , Luca Cardelli , Marta Kwiatkowska , Luca Laurenti , Mirco Tribastone , Max Tschaikowski

In this paper, we show the implementation of deep neural networks applied in process control. In our approach, we based the training of the neural network on model predictive control. Model predictive control is popular for its ability to…

Machine Learning · Computer Science 2019-12-11 Karol Kiš , Martin Klaučo

Understanding the emergent behavior of chemical reaction networks (CRNs) is a fundamental aspect of biology and its origin from inanimate matter. A closed CRN monotonically tends to thermal equilibrium, but when it is opened to external…

Molecular Networks · Quantitative Biology 2024-05-16 Masanari Shimada , Pegah Behrad , Eric De Giuli

Chemical reaction networks (CRNs) are foundational models for describing complex biochemical processes. We study noncompetitive CRNs, a class of networks whose static states are rate-independent, and that can implement ReLU neural networks.…

Molecular Networks · Quantitative Biology 2025-12-22 Louis Faul , Xavier Richard , Mary Betrisey , Christian Mazza

High-precision control tasks present substantial challenges for reinforcement learning (RL) algorithms, frequently resulting in suboptimal performance attributed to network approximation inaccuracies and inadequate sample quality.These…

Machine Learning · Computer Science 2025-02-05 Donghe Chen , Yubin Peng , Tengjie Zheng , Han Wang , Chaoran Qu , Lin Cheng

Robustness is an observable property for which a chemical reaction network (CRN) can maintain its functionalities despite the influence of different perturbations. In general, to verify whether a network is robust, it is necessary to…

Formal Languages and Automata Theory · Computer Science 2021-04-29 Lucia Nasti , Roberta Gori , Paolo Milazzo

Synthetic biology is an interdisciplinary field aiming to design biochemical systems with desired behaviors. To this end, molecular controllers have been developed which, when embedded into a pre-existing ambient biochemical network,…

Molecular Networks · Quantitative Biology 2019-08-29 Tomislav Plesa , Guy-Bart Stan , Thomas E. Ouldridge , Wooli Bae

In order to fully exploit the potential of molecular communication (MC) for intra-body communication, practically implementable cellular receivers are an important long-term goal. A variety of receiver architectures based on chemical…

Emerging Technologies · Computer Science 2023-05-11 Bastian Heinlein , Lukas Brand , Malcolm Egan , Maximilian Schäfer , Robert Schober , Sebastian Lotter

An algorithm is given in this paper for the computation of dynamically equivalent weakly reversible realizations with the maximal number of reactions, for chemical reaction networks (CRNs) with mass action kinetics. The original problem…

Dynamical Systems · Mathematics 2011-07-05 Gabor Szederkenyi , Katalin M. Hangos , Zsolt Tuza

Robust control theory has been successfully applied to numerous real-world problems using a small set of devices called {\it controllers}. However, the real systems represented by networks contain unreliable components and modern robust…

Physics and Society · Physics 2015-06-23 Jose C. Nacher , Tatsuya Akutsu

We establish a generalized work theorem for stochastic chemical reaction networks (CRNs). By using a compensated Poisson jump process, we identify a martingale structure in a generalized entropy defined relative to an auxiliary backward…

Statistical Mechanics · Physics 2026-01-21 Xiangting Li , Tom Chou

This paper develops the concept of decomposition for chemical reaction networks, based on which a network decomposition technique is proposed to capture the stability of large-scale networks characterized by a high number of species, high…

Dynamical Systems · Mathematics 2021-02-23 Yafei Lu , Chuanhou Gao , Denis Dochain

A reaction network is a chemical system involving multiple reactions and chemical species. Stochastic models of such networks treat the system as a continuous time Markov chain on the number of molecules of each species with reactions as…

Probability · Mathematics 2007-05-23 Karen Ball , Thomas G. Kurtz , Lea Popovic , Greg Rempala

Robust control is a core approach for controlling systems with performance guarantees that are robust to modeling error, and is widely used in real-world systems. However, current robust control approaches can only handle small system…

Optimization and Control · Mathematics 2021-06-08 Dimitar Ho , Hoang M. Le , John C. Doyle , Yisong Yue

We show that discrete distributions on the $d$-dimensional non-negative integer lattice can be approximated arbitrarily well via the marginals of stationary distributions for various classes of stochastic chemical reaction networks. We…

Computational Complexity · Computer Science 2019-10-01 Daniele Cappelletti , Andrés Ortiz-Muñoz , David Anderson , Erik Winfree

Successful robotic operation in stochastic environments relies on accurate characterization of the underlying probability distributions, yet this is often imperfect due to limited knowledge. This work presents a control algorithm that is…

Robotics · Computer Science 2021-01-19 Haruki Nishimura , Negar Mehr , Adrien Gaidon , Mac Schwager