Stable Functionals of Neutral-Type Dynamical Systems


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We consider a controlled dynamical system under conditions of disturbances. Its motion is described by functional differential equations of neutral type in the form of J. Hale. A functional of the motion history is said to be stable with respect to this system if there exists a control strategy that guarantees the monotonicity of this functional for any disturbances. We study various nonlocal and infinitesimal conditions for the stability of functionals.

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N. Lukoyanov

N. N. Krasovskii Institute of Mathematics and Mechanics; Ural Federal University named after the First President of Russia B. N. Yeltsin

编辑信件的主要联系方式.
Email: nyul@imm.uran.ru
俄罗斯联邦, ul. S. Kovalevskoi 16, Yekaterinburg, 620990; ul. Mira 19, Yekaterinburg, 620002

A. Plaksin

N. N. Krasovskii Institute of Mathematics and Mechanics; Ural Federal University named after the First President of Russia B. N. Yeltsin

编辑信件的主要联系方式.
Email: a.r.plaksin@gmail.com
俄罗斯联邦, ul. S. Kovalevskoi 16, Yekaterinburg, 620990; ul. Mira 19, Yekaterinburg, 620002

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