Geodesic
Computation of Lyapunov--Krasovskii quadratic functionals for linear autonomous systems with aftereffect
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 4, pp. 95-106

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A method of computing Lyapunov–Krasovskii quadratic functionals is proposed for linear autonomous systems with aftereffect. The finding of their representations is reduced to solving boundary value problems for functional differential equations. The cases of their equivalence to boundary value problems for systems of ordinary differential equations are considered.
Keywords: differential equations with aftereffect, stability, quadratic functionals. 
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     author = {Yu. F. Dolgii},
     title = {Computation of {Lyapunov--Krasovskii} quadratic functionals for linear autonomous systems with aftereffect},
     journal = {Trudy Instituta matematiki i mehaniki},
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     publisher = {mathdoc},
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     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2013_19_4_a9/}
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Yu. F. Dolgii. Computation of Lyapunov--Krasovskii quadratic functionals for linear autonomous systems with aftereffect. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 4, pp. 95-106. http://geodesic.mathdoc.fr/item/TIMM_2013_19_4_a9/