Explicit stability conditions for multivariable nonautonomous retarded systems

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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.

Original languageEnglish
Pages (from-to)2378-2384
Number of pages7
JournalInternational Journal of Control
Volume83
Issue number11
DOIs
StatePublished - 1 Nov 2010

Keywords

  • exponential stability
  • linear retarded systems
  • multivariable systems

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