Stability of retarded systems with slowly varying coefficient

Michael Iosif Gil

doi:10.1051/cocv/2011185

Stability of retarded systems with slowly varying coefficient

Michael Iosif Gil

Department of Mathematics

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

Abstract

The "freezing" method for ordinary differential equations is extended to multivariable retarded systems with distributed delays and slowly varying coefficients. Explicit stability conditions are derived. The main tool of the paper is a combined usage of the generalized Bohl-Perron principle and norm estimates for the fundamental solutions of the considered equations.

Original language	English
Pages (from-to)	877-888
Number of pages	12
Journal	ESAIM - Control, Optimisation and Calculus of Variations
Volume	18
Issue number	3
DOIs	https://doi.org/10.1051/cocv/2011185
State	Published - 1 Jul 2012

Keywords

Generalized Bohl-Perron principle
Linear retarded systems
Stability

ASJC Scopus subject areas

Control and Systems Engineering
Control and Optimization
Computational Mathematics

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10.1051/cocv/2011185

Cite this

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AB - The "freezing" method for ordinary differential equations is extended to multivariable retarded systems with distributed delays and slowly varying coefficients. Explicit stability conditions are derived. The main tool of the paper is a combined usage of the generalized Bohl-Perron principle and norm estimates for the fundamental solutions of the considered equations.

KW - Generalized Bohl-Perron principle

KW - Linear retarded systems

KW - Stability

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JO - ESAIM - Control, Optimisation and Calculus of Variations

JF - ESAIM - Control, Optimisation and Calculus of Variations

IS - 3

ER -

Stability of retarded systems with slowly varying coefficient

Abstract

Keywords

ASJC Scopus subject areas

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