Geodesic
Stabilization of the second-order linear time-invariant control systems by a~delayed feedback
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2010), pp. 87-90

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We consider a static stabilization problem for a two-dimensional linear time-invariant control system with a delayed feedback. We obtain the necessary and sufficient conditions for the stabilizability of the system under consideration. The theorems proved in this paper show that such a delayed feedback approach is efficient in stabilizing the second-order linear systems.
Keywords: linear time-invariant system, delayed feedback, stationary stabilization, asymptotic stability. 
@article{IVM_2010_12_a8,
     author = {M. M. Shumafov},
     title = {Stabilization of the second-order linear time-invariant control systems by a~delayed feedback},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {87--90},
     publisher = {mathdoc},
     number = {12},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2010_12_a8/}
}
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M. M. Shumafov. Stabilization of the second-order linear time-invariant control systems by a~delayed feedback. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2010), pp. 87-90. http://geodesic.mathdoc.fr/item/IVM_2010_12_a8/