κ-Contraction in a Generalized Lurie System

Ron Ofir; Jean Jacques Slotine; Michael Margaliot

doi:https://doi.org/10.1109/TAC.2024.3510516

κ-Contraction in a Generalized Lurie System

Ron Ofir, Jean Jacques Slotine, Michael Margaliot

School of Electrical Engineering

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

Abstract

We derive a sufficient condition for κ-contraction in a generalized Lurie system (GLS), that is, the feedback connection of a nonlinear dynamical system and a memoryless nonlinear function. For κ=1, this reduces to a sufficient condition for standard contraction. For κ=2, this condition implies that every bounded solution of the GLS converges to an equilibrium, which is not necessarily unique. We demonstrate the theoretical results by analyzing κ-contraction in a biochemical control circuit with nonlinear dissipation terms.

Original language	English
Journal	IEEE Transactions on Automatic Control
DOIs	https://doi.org/10.1109/TAC.2024.3510516
State	Accepted/In press - 2024

Keywords

compound matrices
Contracting systems
networked systems
Riemannian metric
stability

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

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https://doi.org/10.1109/TAC.2024.3510516

Cite this

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title = "κ-Contraction in a Generalized Lurie System",

abstract = "We derive a sufficient condition for κ-contraction in a generalized Lurie system (GLS), that is, the feedback connection of a nonlinear dynamical system and a memoryless nonlinear function. For κ=1, this reduces to a sufficient condition for standard contraction. For κ=2, this condition implies that every bounded solution of the GLS converges to an equilibrium, which is not necessarily unique. We demonstrate the theoretical results by analyzing κ-contraction in a biochemical control circuit with nonlinear dissipation terms.",

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author = "Ron Ofir and Slotine, {Jean Jacques} and Michael Margaliot",

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T1 - κ-Contraction in a Generalized Lurie System

AU - Ofir, Ron

AU - Slotine, Jean Jacques

AU - Margaliot, Michael

PY - 2024

Y1 - 2024

N2 - We derive a sufficient condition for κ-contraction in a generalized Lurie system (GLS), that is, the feedback connection of a nonlinear dynamical system and a memoryless nonlinear function. For κ=1, this reduces to a sufficient condition for standard contraction. For κ=2, this condition implies that every bounded solution of the GLS converges to an equilibrium, which is not necessarily unique. We demonstrate the theoretical results by analyzing κ-contraction in a biochemical control circuit with nonlinear dissipation terms.

AB - We derive a sufficient condition for κ-contraction in a generalized Lurie system (GLS), that is, the feedback connection of a nonlinear dynamical system and a memoryless nonlinear function. For κ=1, this reduces to a sufficient condition for standard contraction. For κ=2, this condition implies that every bounded solution of the GLS converges to an equilibrium, which is not necessarily unique. We demonstrate the theoretical results by analyzing κ-contraction in a biochemical control circuit with nonlinear dissipation terms.

KW - compound matrices

KW - Contracting systems

KW - networked systems

KW - Riemannian metric

KW - stability

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DO - https://doi.org/10.1109/TAC.2024.3510516

M3 - مقالة

SN - 0018-9286

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

ER -

κ-Contraction in a Generalized Lurie System

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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