On ISS with Respect to Average Value of Disturbances: A Time-Delay Approach

Denis Efimov; Emilia Fridman

doi:10.1109/TAC.2023.3337696

On ISS with Respect to Average Value of Disturbances: A Time-Delay Approach

Denis Efimov, Emilia Fridman

School of Electrical Engineering

Tel Aviv University

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

Abstract

For input-affine nonlinear dynamical systems, an input-to-state stability analysis with respect to (weighted) average values of exogenous perturbations is proposed. The time-delay method is used to represent the system in a suitable form for investigation: A kind of neutral-type differential equation. The introduced approach allows the asymptotic gains with respect to zero-mean periodic signals to be evaluated for nonlinear systems (an analogue of Bode magnitude plot), as well as for integral input-to-state stable systems with periodic inputs. The results are illustrated on the class of homogeneous systems.

Original language	English
Pages (from-to)	3434-3440
Number of pages	7
Journal	IEEE Transactions on Automatic Control
Volume	69
Issue number	5
DOIs	https://doi.org/10.1109/TAC.2023.3337696
State	Published - 1 May 2024

Keywords

Control systems
delay systems
stability analysis

All Science Journal Classification (ASJC) codes

Electrical and Electronic Engineering
Control and Systems Engineering
Computer Science Applications

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10.1109/TAC.2023.3337696

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title = "On ISS with Respect to Average Value of Disturbances: A Time-Delay Approach",

abstract = "For input-affine nonlinear dynamical systems, an input-to-state stability analysis with respect to (weighted) average values of exogenous perturbations is proposed. The time-delay method is used to represent the system in a suitable form for investigation: A kind of neutral-type differential equation. The introduced approach allows the asymptotic gains with respect to zero-mean periodic signals to be evaluated for nonlinear systems (an analogue of Bode magnitude plot), as well as for integral input-to-state stable systems with periodic inputs. The results are illustrated on the class of homogeneous systems.",

keywords = "Control systems, delay systems, stability analysis",

author = "Denis Efimov and Emilia Fridman",

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doi = "10.1109/TAC.2023.3337696",

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T1 - On ISS with Respect to Average Value of Disturbances

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AU - Fridman, Emilia

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Y1 - 2024/5/1

N2 - For input-affine nonlinear dynamical systems, an input-to-state stability analysis with respect to (weighted) average values of exogenous perturbations is proposed. The time-delay method is used to represent the system in a suitable form for investigation: A kind of neutral-type differential equation. The introduced approach allows the asymptotic gains with respect to zero-mean periodic signals to be evaluated for nonlinear systems (an analogue of Bode magnitude plot), as well as for integral input-to-state stable systems with periodic inputs. The results are illustrated on the class of homogeneous systems.

AB - For input-affine nonlinear dynamical systems, an input-to-state stability analysis with respect to (weighted) average values of exogenous perturbations is proposed. The time-delay method is used to represent the system in a suitable form for investigation: A kind of neutral-type differential equation. The introduced approach allows the asymptotic gains with respect to zero-mean periodic signals to be evaluated for nonlinear systems (an analogue of Bode magnitude plot), as well as for integral input-to-state stable systems with periodic inputs. The results are illustrated on the class of homogeneous systems.

KW - Control systems

KW - delay systems

KW - stability analysis

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DO - 10.1109/TAC.2023.3337696

M3 - مقالة

SN - 0018-9286

VL - 69

SP - 3434

EP - 3440

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 5

ER -

On ISS with Respect to Average Value of Disturbances: A Time-Delay Approach

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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