Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Vasilii Zaitsev"'
Autor:
Vasilii Zaitsev
Publikováno v:
AIMS Mathematics, Vol 8, Iss 10, Pp 23734-23746 (2023)
Issues of the asymptotic stability for linear difference equations with time-varying coefficients are discussed. It is shown that, in contrast to equations with constant coefficients, the condition of Schur stability of the characteristic polynomial
Externí odkaz:
https://doaj.org/article/3c8edea645ba4930b39492d23f7bc758
Publikováno v:
IEEE Access, Vol 10, Pp 74779-74791 (2022)
We investigate the behavior of the Lyapunov spectrum of a linear time-varying discrete system under the action of small perturbations in order to obtain some verifiable conditions for stability and openness of the Lyapunov spectrum. To this end we in
Externí odkaz:
https://doaj.org/article/2752934acf804300bb96d0c9909eb663
Autor:
Maksim Pleshkov, Vasilii Zaitsev, Dmitrii Starkov, Vladimir Demkin, Herman Kingma, Raymond van de Berg
Publikováno v:
Frontiers in Neurology, Vol 13 (2022)
IntroductionVideo head impulse testing is frequently used to evaluate the vestibular function. During this test, eye movement responses are recorded with video-oculography (VOG). However, the use of VOG can sometimes be challenging, especially due to
Externí odkaz:
https://doaj.org/article/5fb8883ba22840a09aa29debc91a94f8
Publikováno v:
Archives of Control Sciences, Vol vol. 31, Iss No 1, Pp 81-98 (2021)
Affine discrete-time control periodic systems are considered. The problem of global asymptotic stabilization of the zero equilibrium of the closed-loop system by state feedback is studied. It is assumed that the free dynamic system has the Lyapunov s
Externí odkaz:
https://doaj.org/article/6ef240a5f6324d25a425c0a63c239136
Publikováno v:
IEEE Access, Vol 9, Pp 134174-134191 (2021)
We consider a linear discrete time-varying input-output system. Our goal is to study the problem of local assignability of the Lyapunov spectrum by static output feedback control. To this end we introduce the notion of uniform consistency for discret
Externí odkaz:
https://doaj.org/article/8e5c9f90514e44c4887a797ea4190a95
Autor:
Vasilii Zaitsev, Inna Kim
Publikováno v:
Mathematics, Vol 9, Iss 17, p 2158 (2021)
We consider a linear control system defined by a scalar stationary linear differential equation in the real or complex space with multiple non-commensurate lumped and distributed delays in the state. In the system, the input is a linear combination o
Externí odkaz:
https://doaj.org/article/1702b5c8091f4c4c9bd4b68e41f2caba
Autor:
Vasilii Zaitsev, Marina Zhuravleva
Publikováno v:
Mathematics, Vol 8, Iss 6, p 992 (2020)
We consider a linear continuous-time control system with time-invariant linear bounded operator coefficients in a Hilbert space. The controller in the system has the form of linear state feedback with a time-varying linear bounded gain operator funct
Externí odkaz:
https://doaj.org/article/ebed7192b3ff4b3db8a932e43213f52e
Autor:
Vasilii Zaitsev, Inna Kim
Publikováno v:
Mathematics, Vol 8, Iss 5, p 853 (2020)
We consider a control system defined by a linear time-varying differential equation of n-th order with uncertain bounded coefficients. The problem of exponential stabilization of the system with an arbitrary given decay rate by linear static state or
Externí odkaz:
https://doaj.org/article/9fdfefd57b9b486e9cc3c657f3917510
Publikováno v:
IEEE Transactions on Automatic Control. 67:3598-3605
Semi-linear discrete-time control systems with periodic coefficients are considered. The problem of uniform global asymptotic stabilization of the zero equilibrium of the closed-loop system by state feedback is studied. It is assumed that the free dy
Autor:
Vasilii Zaitsev
Publikováno v:
IEEE Transactions on Automatic Control. 67:520-525
Continuous-time linear systems with periodic coefficients of period T are considered in this paper. We study the question of the controllability interval length of periodic systems. It is known that a controllable T-periodic system is controllable ov