Explicit stability conditions for multivariable nonautonomous retarded systems

M. I. Gil'

doi:10.1080/00207179.2010.523848

Explicit stability conditions for multivariable nonautonomous retarded systems

M. I. Gil'

Department of Mathematics

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

Abstract

We consider retarded systems governed by the vector equation dy(t)/dt+ ∫^η₀ dR₀(τ)y(t-τ)+ ∫^η₀ d_τR₁(1,τ)y(t- τ)=0 (t>0), where R0(τ) is a matrix-valued function defined on a real segment [0, η] and R₁(t, τ) is a matrix-valued function defined on [0, ∞] × [0, η]. Sharp explicit conditions for the exponential stability are derived.

Original language	English
Pages (from-to)	2378-2384
Number of pages	7
Journal	International Journal of Control
Volume	83
Issue number	11
DOIs	https://doi.org/10.1080/00207179.2010.523848
State	Published - 1 Nov 2010

Keywords

exponential stability
linear retarded systems
multivariable systems

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications

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10.1080/00207179.2010.523848

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abstract = "We consider retarded systems governed by the vector equation dy(t)/dt+ ∫η0 dR0(τ)y(t-τ)+ ∫η0 dτR1(1,τ)y(t- τ)=0 (t>0), where R0(τ) is a matrix-valued function defined on a real segment [0, η] and R1(t, τ) is a matrix-valued function defined on [0, ∞] × [0, η]. Sharp explicit conditions for the exponential stability are derived.",

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AB - We consider retarded systems governed by the vector equation dy(t)/dt+ ∫η0 dR0(τ)y(t-τ)+ ∫η0 dτR1(1,τ)y(t- τ)=0 (t>0), where R0(τ) is a matrix-valued function defined on a real segment [0, η] and R1(t, τ) is a matrix-valued function defined on [0, ∞] × [0, η]. Sharp explicit conditions for the exponential stability are derived.

KW - exponential stability

KW - linear retarded systems

KW - multivariable systems

UR - https://www.scopus.com/pages/publications/78649272767

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DO - 10.1080/00207179.2010.523848

M3 - Article

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EP - 2384

JO - International Journal of Control

JF - International Journal of Control

IS - 11

ER -

Explicit stability conditions for multivariable nonautonomous retarded systems

Abstract

Keywords

ASJC Scopus subject areas

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