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Related papers: Adaptation Implies Internal Model

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This note provides a theorem showing, under suitable technical assumptions, that if a system S adapts to a class of external signals U, in the sense of egulation against disturbances or tracking signals in U, then S must ecessarily contain…

Quantitative Methods · Quantitative Biology 2007-05-23 Eduardo D. Sontag

Robustness is a basic property of any control system. In the context of linear output regulation, it was proved that embedding an internal model of the exogenous signals is necessary and sufficient to achieve tracking of the desired…

Systems and Control · Electrical Eng. & Systems 2021-04-23 Michelangelo Bin , Daniele Astolfi , Lorenzo Marconi

The internal model principle is a fundamental result stating a necessary and sufficient condition for a stabilizing controller to be robustly regulating. Its classical formulation is given in terms of coprime factorizations and the largest…

Optimization and Control · Mathematics 2020-05-25 Petteri Laakkonen

A model of an organism as an autonomous intelligent system has been proposed. This model was used to analyze learning of an organism in various environmental conditions. Processes of learning were divided into two types: strong and weak…

Artificial Intelligence · Computer Science 2007-05-23 Alexey V. Melkikh

The goal of this paper is to understand if the property of adaptation, which is a typical property of many biochemical systems, can be achieved only by biological systems that actively consume energy or if it can be achieved also by passive…

Classical Analysis and ODEs · Mathematics 2025-02-26 E. Franco , J. J. L. Velázquez

This work introduces a general multi-level model for self-adaptive systems. A self-adaptive system is seen as composed by two levels: the lower level describing the actual behaviour of the system and the upper level accounting for the…

Logic in Computer Science · Computer Science 2013-05-16 Emanuela Merelli , Nicola Paoletti , Luca Tesei

Robust adaptive control of scalar plants in the presence of unmodeled dynamics is established in this paper. It is shown that implementation of a projection algorithm with standard adaptive control of a scalar plant ensures global…

Systems and Control · Computer Science 2013-02-04 Heather S. Hussain , Megumi M. Matsutani , Anuradha M. Annaswamy , Eugene Lavretsky

This paper shows how the theory of adaptive observers can be effectively used in the design internal models for nonlinear output regulation. The main result obtained in this way is a new method for the synthesis of adaptive internal models…

Optimization and Control · Mathematics 2007-05-23 Francesco Delli Priscoli , Lorenzo Marconi , Alberto Isidori

The internal model principle states that all robustly regulating controllers must contain a suitably reduplicated internal model of the signal to be regulated. Using frequency domain methods, we show that the number of the copies may be…

Optimization and Control · Mathematics 2023-03-01 Petteri Laakkonen , Lassi Paunonen

When designing a robot's internal system, one often makes assumptions about the structure of the intended environment of the robot. One may even assign meaning to various internal components of the robot in terms of expected environmental…

Robotics · Computer Science 2024-06-18 Vadim K. Weinstein , Tamara Alshammari , Kalle G. Timperi , Mehdi Bennis , Steven M. LaValle

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

A novel method for control of dynamical systems, proposed in the paper, ensures an output signal belonging to the given set at any time. The method is based on a special change of coordinates such that the initial problem with given…

Systems and Control · Electrical Eng. & Systems 2019-12-19 Igor Furtat

Minimal input/output selection is investigated in this paper for each subsystem of a networked system. Some novel sufficient conditions are derived respectively for the controllability and observability of a networked system, as well as…

Optimization and Control · Mathematics 2019-10-15 Tong Zhou

This paper shows how the theory of nonlinear adaptive observers can be effectively used in the design of internal models for nonlinear output regulation. The theory substantially enhances the existing results in the context of {\em…

Optimization and Control · Mathematics 2007-05-23 Francesco Delli Priscoli , Lorenzo Marconi , Alberto Isidori

This paper deals with stability of discrete-time switched linear systems whose all subsystems are unstable and the set of admissible switching signals obeys pre-specified restrictions on switches between the subsystems and dwell times on…

Systems and Control · Electrical Eng. & Systems 2021-11-11 Atreyee Kundu

Control systems should enforce a desired property for both expected modeled situations as well as unexpected unmodeled environmental situations. Existing methods focus on designing controllers to enforce the desired property only when the…

Systems and Control · Electrical Eng. & Systems 2021-10-19 Rômulo Meira-Góes , Eunsuk Kang , Stéphane Lafortune , Stavros Tripakis

This paper studies the robustness of large-scale interconnected systems with respect to external disturbances, focussing on their scalability properties. Specifically, a notion of scalability is introduced that asks for these robustness…

Optimization and Control · Mathematics 2020-05-14 Steffi Knorn , Bart Besselink

Statistical properties of environments experienced by biological signaling systems in the real world change, which necessitate adaptive responses to achieve high fidelity information transmission. One form of such adaptive response is gain…

Molecular Networks · Quantitative Biology 2012-05-01 Ilya Nemenman

We consider interconnected nonlinear systems with external inputs, where each of the subsystems is assumed to be input-to-state stable (ISS). Sufficient conditions of small gain type are provided guaranteeing that the interconnection is ISS…

Dynamical Systems · Mathematics 2010-06-14 Sergey Dashkovskiy , Michael Kosmykov , Fabian Wirth

In complex systems, we often observe complex global behavior emerge from a collection of agents interacting with each other in their environment, with each individual agent acting only on locally available information, without knowing the…

Neural and Evolutionary Computing · Computer Science 2021-09-30 Yujin Tang , David Ha
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