Zobrazeno 1 - 10 of 60 pro vyhledávání: '"A. Kh. Gelig"'
1
Synthesis of Stabilization Control on Outputs for a Class of Continuous and Pulse-Modulated Undefined Systems
Autor: A. Kh. Gelig, I. E. Zuber
Publikováno v: Vestnik St. Petersburg University, Mathematics. 51:360-366
Consider system $$\left\{ {\begin{array}{*{20}{c}} {{{\dot x}_1} = {\varphi _1}(.) + {\rho _1}{x_{l + 1}},} \\ {{{\dot x}_m} = {\varphi _m}(.) + {\rho _m}{x_n},} \\ {{{\dot x}_{m + 1}} = {\varphi _{m + 1}}(.) + {\mu _1},} \\ {{{\dot x}_n} = {\varphi
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::64fdec8b2bb417d6fe5fe87ae8dc6565
https://doi.org/10.3103/s1063454118040143
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2
Multidimensional Output Stabilization of a Certain Class of Uncertain Systems
Autor: I. E. Zuber, Arkadii Kh. Gelig
Publikováno v: Automation and Remote Control. 79:1545-1557
Consideration was given to the indeterminate nth order system with l observed coordinates and l controls l < n. With the use of a backstepping-based construction of the observer and quadratic Lyapunov function, designed were continuous or pulse contr
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f428d299a28eabe1649aeb0b81fd456c
https://doi.org/10.1134/s0005117918090011
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3
Stabilization by output of continuous and pulse-modulated uncertain systems
Autor: A. Kh. Gelig, I. E. Zuber
Publikováno v: Vestnik St. Petersburg University, Mathematics. 50:342-348
The system ẋ i = ϕ i (⋅) + x i+2, $$i \in \overline {1,n - 2} $$ , ẋ n−1 = ϕ n−1(⋅) + u 1, ẋ n = ϕ n (⋅) + u 2,where ϕ i (·) are nonanticipating functionals of an arbitrary nature with the following properties— $$\left| {{\varp
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e7d7dd7d6f81f28f6f347df1feedb2de
https://doi.org/10.3103/s1063454117040136
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4
New classes of stabilizable uncertain systems
Autor: M. S. Zakharenkov, A. Kh. Gelig, I. E. Zuber
Publikováno v: Automation and Remote Control. 77:1768-1780
Consideration was given to the new classes of continuous and discrete uncertain systems where the elements of the control plant matrix represent physically realizable arbitrary functionals with only the boundaries of their variation known. The stabil
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::1f20132249c68a4875a35772f514fdc9
https://doi.org/10.1134/s0005117916100040
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5
An extended class of stabilizable uncertain systems
Autor: Tatiana Voloshinova, Arkadii Kh. Gelig, I. E. Zuber
Publikováno v: Vestnik of Saint Petersburg University. Series 1. Mathematics. Mechanics. Astronomy. 3:402-407
The system of equations \(\frac{{dx}}{{dt}} = A\left( \cdot \right)x + B\left( \cdot \right)u\), where A(·) ∈ ℝn × n, B(·) ∈ ℝn × m, S(·) ∈ Rn × m, is considered. The elements of the matrices A(·), B(·), S(·) are uniformly bounded
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9aafa8516402d6c7f2172195cc78b838
https://doi.org/10.21638/11701/spbu01.2016.307
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7
Output stabilization for a class of uncertain systems
Autor: A. Kh. Gelig, I. E. Zuber
Publikováno v: Vestnik St. Petersburg University: Mathematics. 48:209-213
The system $$\frac{{dx}}{{dt}} = A\left( \cdot \right)x + B\left( \cdot \right)u,{\kern 1pt} \frac{{dy}}{{dt}} = A\left( \cdot \right)y + B\left( \cdot \right)u + D\left( {C*y - v} \right)$$ where v = C*x is an output, u = S*y is a control, A(·) ∈
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::5cdebb45fa62c86d0db4a557f264a787
https://doi.org/10.3103/s1063454115040147
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8
Modal stabilization of a certain class of nonlinear nonstationary systems
Autor: I. E. Zuber, A. Kh. Gelig
Publikováno v: Vestnik St. Petersburg University: Mathematics. 48:140-146
The system $$\frac{{dx}}{{dt}} = A(t,x)x + b(t,x)u,$$ (1) where A(t, x) ∈ Rn × n, b(t, x) = β(t, x)e1, β(t, x) ∈ R1, and e1*= (1, 0, …, 0), is considered. The coefficients aij(t, x) of the matrix A(t, x) and the function β(t, x) are real-va
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::1503273473e7a76283ed2e1bff7c83e5
https://doi.org/10.3103/s1063454115030097
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9
Uncertain discrete systems: Stability, instability, and an attractor
Autor: I. E. Zuber, A. Kh. Gelig
Publikováno v: Vestnik St. Petersburg University: Mathematics. 48:61-65
The system xk + 1 = A(k)xk is considered, where A(k) є ℝn × ℝn is a matrix coefficients aij(k) of which are nonanticipating functionals of any nature. It is assumed that the elements of the first to (p + 1)st columns above the main diagonal and
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::7ae7d1ec7799bbff7e17259201eb6265
https://doi.org/10.3103/s1063454115020132
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10
A Review of Research on Dynamics of Impulsive Control Systems: the Impact of V. A. Yakubovich∗∗The authors were partly financed by by Saint Petersburg State University, Grant 6.38.230.2015. AG and AC were partly supported by the Russian Foundation for Basic Research, Grant 14-01-00107-a
Autor: Alexander I. Shepeljavyi, Arkadii Kh. Gelig, Alexander N. Churilov
Publikováno v: IFAC-PapersOnLine. 48:396-401
The paper gives a brief retrospective review of some research on impulsive control systems that was conducted at the Department of Theoretical Cybernetics of Saint Petersburg State University in 1960s—2010s. Until 2012 the department was headed and
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::cf9b14379c439b1704c9a57764b2792e
https://doi.org/10.1016/j.ifacol.2015.09.218
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