Aizerman's problem in absolute stability theory for regulated systems
SA Aisagaliev - Sbornik: Mathematics, 2018 - iopscience.iop.org
A new method for investigating the absolute stability of regulated systems with limited
resources is proposed. It is based on estimating improper integrals along the solution of the …
resources is proposed. It is based on estimating improper integrals along the solution of the …
Robust stabilization of non-linear non-autonomous control systems with periodic linear approximation
VI Slyn'ko, C Tunç, VO Bivziuk - IMA Journal of Mathematical …, 2021 - academic.oup.com
The paper deals with the problem of stabilizing the equilibrium states of a family of non-
linear non-autonomous systems. It is assumed that the nominal system is a linear controlled …
linear non-autonomous systems. It is assumed that the nominal system is a linear controlled …
The construction of Lyapunov functions with sign-definite derivative for systems satisfying the Barbashin–Krasovskii theorem
AM Kovalev - Journal of applied mathematics and mechanics, 2008 - Elsevier
The asymptotic stability of the zero solution of autonomous systems of differential equations
is considered. For systems satisfying the Barbashin–Krasovskii theorem positive-definite …
is considered. For systems satisfying the Barbashin–Krasovskii theorem positive-definite …
Qualitative exponential stability and instability of dynamical systems
VV Grigoriev, OK Mansurova - IFAC Proceedings Volumes, 2001 - Elsevier
Qualitative Exponential Stability and Instability of Dynamical Systems Page 1 Copyright © IFAC
Nonlinear Control Systems, SI. Petershurg, Russia, 200 I IFAC c: 0 C> Publications …
Nonlinear Control Systems, SI. Petershurg, Russia, 200 I IFAC c: 0 C> Publications …
Invariance of a system of automatic control
RA Spasskii - Journal of Soviet Mathematics, 1992 - Springer
Utilizing the method of Lyapunov functions and matrix calculus, design of a nonlinear stable
invariant system of automatic control is implemented. Sufficient conditions of invariance with …
invariant system of automatic control is implemented. Sufficient conditions of invariance with …
[引用][C] Khusanov,“Limit equations in the problem of the stability of a functional-differential equation”
AS Andreev, D Kh - Differ. Uravn, 1998 - mathnet.ru
AS Andreev, D. Kh. Khusanov, “Limit equations in the problem of the stability of a functional-differential
equation”, Differ. Uravn., 34:4 (1998), 435–440; Differ. Equ., 34:4 (1998), 431–436 …
equation”, Differ. Uravn., 34:4 (1998), 435–440; Differ. Equ., 34:4 (1998), 431–436 …
[引用][C] On Practical Instability of Systems Obtained by the Method of the Article [1]
PV Nadezhdin - Avtomat. i Telemekh, 1973 - mathnet.ru
1. MG Zotov,“On complications of search and realization in the state space of the optimal
controllers”, Autom. Remote Control, 69: 2 (2008), 189–197 mathnet crossref mathscinet …
controllers”, Autom. Remote Control, 69: 2 (2008), 189–197 mathnet crossref mathscinet …
Concerning problem of absolute stability
S Persidskii - Automation and Remote Control, 1969 - mathnet.ru
The system stability (1.1) is investigated by means of the second method of Liapunoff. At the
same time the necessary and sufficient conditions of absolute stability and absolute …
same time the necessary and sufficient conditions of absolute stability and absolute …
Stability of nonautonomous systems by Liapunov's direct method
D Aeyels - Banach Center Publications, 1995 - eudml.org
Abstract top This paper discusses asymptotic stability for nonautonomous systems by means
of the direct method of Liapunov. The existence of a positive time-invariant Liapunov …
of the direct method of Liapunov. The existence of a positive time-invariant Liapunov …