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Journal Articles Applied Mathematics Letters Year : 2021

Lyapunov-based stability of delayed linear differential algebraic systems

Ann Al Sawoor

Abstract

The Lyapunov stability theorem for linear systems is extended to linear delay-differential algebraic systems of index one. In particular, bounds on the decay of the solution are established in terms of solvability of a certain Lyapunov-type matrix equation.
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Dates and versions

hal-04306761 , version 1 (25-11-2023)

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Ann Al Sawoor, Miloud Sadkane. Lyapunov-based stability of delayed linear differential algebraic systems. Applied Mathematics Letters, 2021, 118, pp.107185. ⟨10.1016/j.aml.2021.107185⟩. ⟨hal-04306761⟩
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