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Information-theoretic fundamental limitation in feedback control system is an important topic for decades. In this paper, a new bode-like fundamental inequality in causal feedback control system is developed. This inequality relates…

Information Theory · Computer Science 2015-08-18 Weimin Wang , Chong Xu

Given an ensemble of autonomous agents and a task to achieve cooperatively, how much do the agents need to know about the state of the ensemble and about the task in order to achieve it? We introduce new methods to understand these aspects…

Optimization and Control · Mathematics 2011-01-20 M. -A. Belabbas

Feedback or closed-loop control allows dynamical systems to increase their performance up to a limit imposed by the second law of thermodynamics. It is expected that within this limit, the system performance increases as the controller uses…

Statistical Mechanics · Physics 2012-05-22 F. J. Cao , M. Feito

Information flow is the branch of security that studies the leakage of information due to correlation between secrets and observables. Since in general such correlation cannot be avoided completely, it is important to quantify the leakage.…

Logic in Computer Science · Computer Science 2023-06-22 Yusuke Kawamoto , Konstantinos Chatzikokolakis , Catuscia Palamidessi

We introduce and analyze a model for decentral- ized control. The model is broad enough to include problems such as formation control, decentralization of the power grid and flocking. The objective of this paper is twofold. First, we show…

Optimization and Control · Mathematics 2011-10-07 M. -A. Belabbas

Public agencies are increasingly publishing open data to increase transparency and fuel data-driven innovation. For these organizations, maintaining sufficient data quality is key to continuous re-use but also heavily dependent on feedback…

Software Engineering · Computer Science 2021-10-05 Daniel Rudmark , Magnus Andersson

Real-world systems are characterized by complex interactions of their internal degrees of freedom, while living in ever-changing environments whose net effect is to act as additional couplings. Here, we introduce a paradigmatic interacting…

Statistical Mechanics · Physics 2021-11-23 Giorgio Nicoletti , Daniel Maria Busiello

Whether animal or speech communication, environmental sounds, or music -- all sounds carry some information. Sound sources are embedded in acoustic environments that contain any number of additional sources that emit sounds that reach the…

Neurons and Cognition · Quantitative Biology 2019-02-21 Adam Weisser

Information flow (or information transfer as may be called) the widely applicable general physics notion can be rigorously derived from first principles, rather than axiomatically proposed as an ansatz. Its logical association with…

Chaotic Dynamics · Physics 2015-03-31 X. San Liang

Feedback is a most important concept in control systems, its main purpose is to deal with internal and/or external uncertainties in dynamical systems, by using the on-line observed information. Thus, a fundamental problem in control theory…

Optimization and Control · Mathematics 2007-05-23 Lei Guo

In order to transmit biochemical signals, biological regulatory systems dissipate energy with concomitant entropy production. Additionally, signaling often takes place in challenging environmental conditions. In a simple model regulatory…

Molecular Networks · Quantitative Biology 2015-09-30 Francesca Mancini , Matteo Marsili , Aleksandra M. Walczak

This paper introduces a framework for modeling cyclical and feedback-driven information flow through a generalized family of entropy-modulated transformations called derangetropy functionals. Unlike scalar and static entropy measures such…

Information Theory · Computer Science 2025-06-17 Masoud Ataei , Xiaogang Wang

The goal of this report is to define abstractions for multi-agent systems with feedback interconnection in their dynamics. In the proposed decentralized framework, we specify a finite or countable transition system for each agent which only…

Systems and Control · Computer Science 2016-08-24 Dimitris Boskos , Dimos V. Dimarogonas

A core feature of complex systems is that the interactions between elements in the present causally constrain each-other as the system evolves through time. To fully model all of these interactions (between elements, as well as ensembles of…

Neurons and Cognition · Quantitative Biology 2023-04-26 Thomas F. Varley

In this technical note, we investigate information quantities of state-dependent communication channels with corrupted information fed back from the receiver. We derive an information identity which can be interpreted as a law of…

Information Theory · Computer Science 2014-02-06 Nicolas Limal

Information flow provides a natural measure for the causal interaction between dynamical events. This study extends our previous rigorous formalism of componentwise information flow to the bulk information flow between two complex…

Neurons and Cognition · Quantitative Biology 2021-12-30 X. San Liang

In this paper, we utilize information theory to study the fundamental performance limitations of generic feedback systems, where both the controller and the plant may be any causal functions/mappings while the disturbance can be with any…

Systems and Control · Electrical Eng. & Systems 2021-05-10 Song Fang , Quanyan Zhu

We propose a decomposition of information flow into housekeeping and excess components for autonomous bipartite systems described by Markov jump processes. We introduce this decomposition using the geometric structure of probability…

Statistical Mechanics · Physics 2026-05-08 Yoh Maekawa , Ryuna Nagayama , Kohei Yoshimura , Sosuke Ito

A model for autonomous feedback control of particle transport through a large number of channels is introduced. Interactions among the particles can lead to a strong suppression of fluctuations in the particle number statistics. Within a…

Statistical Mechanics · Physics 2016-02-25 Tobias Brandes

Feedback loops are known as a versatile tool for controlling transport in small systems, which usually have large intrinsic fluctuations. Here we investigate the control of a temporal correlation function, the waiting time distribution,…

Mesoscale and Nanoscale Physics · Physics 2016-04-13 Tobias Brandes , Clive Emary