Exponential stability for a class of functional differential equations
β Scribed by R. C. MacCamy
- Publisher
- Springer
- Year
- 1971
- Tongue
- English
- Weight
- 813 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0003-9527
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π SIMILAR VOLUMES
The problem of Lyapunov stability for functional differential equations in Hilbert spaces is studied. The system to be considered is non-autonomous and the delay is timevarying. Known results on this problem are based on the Gronwall inequality yielding relative conservative bounds on nonlinear pert
## a b s t r a c t In this letter, a new sufficient delay-dependent exponential stability condition for a class of neutral delayed differential equations: is given in terms of the linear matrix inequality (LMI). Our delay-dependent condition obtained here is shown to be less conservative than som
In a recent paper, Taniguchi (Stochastic Anal. Appl. 16 (5) (1998) 965 -975) investigated the almost sure exponential stability of the mild solutions of a class of stochastic partial functional di erential equations. Precisely, as small delay interval assumption is imposed, su cient conditions are o