Zobrazeno 1 - 10
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pro vyhledávání: '"Arkadii Kh Gelig"'
This book presents a development of the frequency-domain approach to the stability study of stationary sets of systems with discontinuous nonlinearities. The treatment is based on the theory of differential inclusions and the second Lyapunov method.
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
https://doi.org/10.1134/s0005117918090011
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
https://doi.org/10.21638/11701/spbu01.2016.307
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
https://doi.org/10.1016/j.ifacol.2015.09.218
Publikováno v:
IFAC-PapersOnLine. 48:1024-1027
Consideration is given to new classes of uncertain systems where controlled plant matrix elements are physically realizable arbitrary functionals about which only the variation boundaries are known. The stabilizing controls which are robust to the pl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f8b185000972e2a4f0321cea27eed56f
https://doi.org/10.1016/j.ifacol.2015.09.327
https://doi.org/10.1016/j.ifacol.2015.09.327
There are two main fields of application of pulse-modulated sys tems, communications and control. Communication is not a subject of our concern in this book. Controlling by a pulse-modulated feed attracted our efforts. The peculiarity of this boo
Publikováno v:
1997 1st International Conference, Control of Oscillations and Chaos Proceedings (Cat. No.97TH8329).
We study a control system which includes several impulse modulators employing some kind of frequency modulation. It is shown how to chose periodic external actions in order to ensure the existence of a synchronous periodic mode, i.e. of such a mode t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8027eefe5dc5af7a16d18bd55f0a7cd4
https://doi.org/10.1109/coc.1997.633470
https://doi.org/10.1109/coc.1997.633470
Publikováno v:
Stability and Oscillations of Nonlinear Pulse-Modulated Systems ISBN: 9781461272694
The averaging method is the principal one for stability studies in this book. It is extensively applied in chapters 3, 4, 9 and 10. In this section we describe the history and the main idea of the method. Note that not all the results obtained with t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c99b8a5d59b33fcdcb0e272d51f8eeb2
https://doi.org/10.1007/978-1-4612-1760-2_3
https://doi.org/10.1007/978-1-4612-1760-2_3
Publikováno v:
Stability and Oscillations of Nonlinear Pulse-Modulated Systems ISBN: 9781461272694
In the preceding sections we studied the stability of the zero equilibrium x = 0 of the system whose CLP is given by (3.1). However, the technique developed there enables us to investigate the stability of an arbitrary solution (a process) of the sys
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e84bd323bca99e7cc464a2b226a948e2
https://doi.org/10.1007/978-1-4612-1760-2_4
https://doi.org/10.1007/978-1-4612-1760-2_4
Publikováno v:
Stability and Oscillations of Nonlinear Pulse-Modulated Systems ISBN: 9781461272694
Practical use of the method of finding forced periodic modes, described in the previous chapter, has two difficulties. First, for a pulse modulation of the second kind, the solvability of the equations of periods is insufficient for the existence of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::84638f578b776ec928be7756a5e57be3
https://doi.org/10.1007/978-1-4612-1760-2_6
https://doi.org/10.1007/978-1-4612-1760-2_6