Lyapunov-based stability of delayed linear differential algebraic systems

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.

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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
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Beschreibung
Zusammenfassung: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.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2021.107185