Geodesic
Exponential stability criteria of linear non-autonomous systems with multiple delays
Electronic journal of differential equations, Tome 2005 (2005)
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 
@article{EJDE_2005__2005__a57,
     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},
     year = {2005},
     volume = {2005},
     zbl = {1075.34074},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a57/}
}
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%A Nam,  Phan T.
%T Exponential stability criteria of linear non-autonomous systems with multiple delays
%J Electronic journal of differential equations
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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__a57/