Geodesic
Sufficient stability conditions and stabilizing control design for delay differential systems of a~special type
Sibirskij žurnal industrialʹnoj matematiki, Tome 13 (2010) no. 4, pp. 118-130

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This paper introduces some sufficient conditions for uniform and asymptotic global stability as well as the algorithms for design of stabilizing control for special systems like cascaded (triangular) systems and integrator chains. The results are presented in terms of semidefinite Lyapunov functions, and they hold for nonlinear nonautonomous systems. Application of the results proposed is illustrated by some classical examples.
Keywords: stability, stabilization, time-delay, Lyapunov function. 
@article{SJIM_2010_13_4_a10,
     author = {N. O. Sedova},
     title = {Sufficient stability conditions and stabilizing control design for delay differential systems of a~special type},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {118--130},
     publisher = {mathdoc},
     volume = {13},
     number = {4},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2010_13_4_a10/}
}
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N. O. Sedova. Sufficient stability conditions and stabilizing control design for delay differential systems of a~special type. Sibirskij žurnal industrialʹnoj matematiki, Tome 13 (2010) no. 4, pp. 118-130. http://geodesic.mathdoc.fr/item/SJIM_2010_13_4_a10/