On absolute stability of nonlinear systems with small delays.
Gil, M.I., Ailon, A., Ahn, B.H. (1998)
Mathematical Problems in Engineering
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Displaying similar documents to “Exponential stability for abstract linear autonomous functional differential equations with infinite delay.”
On absolute stability of nonlinear systems with small delays.
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A characterization of exponentially dichotomic and exponentially stable -semigroups in terms of solutions of an operator equation of Lyapunov type is presented. As a corollary a new and shorter proof of van Neerven’s recent characterization of exponential stability in terms of boundedness of convolutions of a semigroup with almost periodic functions is given.
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