Geodesic
Exponential stability criteria of linear non-autonomous systems with multiple delays
Electronic Journal of Differential Equations, Tome 2005 (2005).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper, we study the exponential stability of linear non-autonomous systems with multiple delays. Using Lyapunov-like function, we find sufficient conditions for the exponential stability in terms of the solution of a Riccati differential equation. Our results are illustrated with numerical examples.
Classification : 34K20
Keywords: exponential stability, time-delay, Lyapunov function, Riccati equation 
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     author = {Phat, Vu N. and Nam, Phan T.},
     title = {Exponential stability criteria of linear non-autonomous systems with multiple delays},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2005},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a157/}
}
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Phat, Vu N.; Nam, Phan T. Exponential stability criteria of linear non-autonomous systems with multiple delays. Electronic Journal of Differential Equations, Tome 2005 (2005). http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a157/