Lyapunov-based stability of delayed linear differential algebraic systems

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.

Bibliographische Detailangaben

Veröffentlicht in:	Applied mathematics letters 2021-08, Vol.118, p.107185, Article 107185
Hauptverfasser:	Sawoor, Ann Al, Sadkane, Miloud
Format:	Artikel
Sprache:	eng
Schlagworte:	Decay rate Linear differential algebraic systems Lyapunov stability Mathematics Time delay
Online-Zugang:	Volltext
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