Stability of nonlinear systems with nonunique equilibrium position

AK Gelig, GA Leonov… - Moscow Izdatel Nauka, 1978 - ui.adsabs.harvard.edu
The object of study is systems with nonunique equilibrium position described by nonlinear
differential equations with discontinuous right-hand members. By using the second method …

[引用][C] Control of Lyapunov exponents of consistent systems. III

SN Popova, EL Tonkov - Differentsial'nye Uravneniya, 1995 - mathnet.ru
6. VA Zaitsev, NV Maksimova,“K svoistvu soglasovannosti chetyrekhmernykh diskretnykh
lineinykh statsionarnykh upravlyaemykh sistem s nepolnoi obratnoi svyazyu spetsialnogo …

[引用][C] Stability of linear systems under variations of parameters

YP Petrov - Avtomatika i Telemekhanika, 1994 - mathnet.ru
1. Tseligorova EN,“Primenenie simvolnykh vychislenii pri issledovanii robastnoi absolyutnoi
ustoichivosti nelineinykh impulsnykh avtomaticheskikh sistem”, Izvestiya yuzhnogo …

A stability criterion for the single delay equation in terms of the Lyapunov matrix

AV Egorov, S Mondié - Вестник Санкт-Петербургского университета …, 2013 - mathnet.ru
1. Introduction. In the case of delay systems the Lyapunov-Krasovskii functionals method
plays the role of the second Lyapunov approach for the case of ordinary differential …

Finite-time stability analysis of homogeneous systems with sector nonlinearities⋆

K Zimenko, D Efimov, A Polyakov, A Kremlev - Automatica, 2024 - inria.hal.science
A class of homogeneous systems with sector nonlinearities is considered in the paper.
Sufficient conditions of finite-time (input-to-state) stability are established with the use of new …

New research on the absolute stability of automatic control systems

ES Pyatnitskii - Avtomatika i telemekhanika, 1968 - mathnet.ru
Ye. S. Pyatnitskii, “New research on absolute stability of automatic control systems (review)”,
Avtomat. i Telemekh., 1968, no. 6, 5–36; Autom. Remote Control, 29:6 (1968), 855–881 …

The method of matrix inequalities in the stability theory of nonlinear control systems. ii- absolute stability in a class of nonlinearities with a condition on the derivative …

VA IAKUBOVICH - Automation and Remote control, 1965 - mathnet.ru
There obtained, for single-nonlinearity systems, a new frequency condition of absolute
stability improving, for a number of cases, the VM Popov condition and covering, for a class …

[引用][C] Compatible systems and the control of Lyapunov exponents

SN Popova, EL Tonkov - Differentsial'nye Uravneniya, 1997 - mathnet.ru
11. VA Zaitsev, NV Maksimova,“K svoistvu soglasovannosti chetyrekhmernykh diskretnykh
lineinykh statsionarnykh upravlyaemykh sistem s nepolnoi obratnoi svyazyu spetsialnogo …

The method of Lyapunov functionals in stability analysis of functional-differential equations

AS Andreev, SV Pavlikov - Mathematical Notes, 2000 - Springer
The method of Lyapunov functionals in stability analysis of functional-differential equations
Page 1 Mathematical Notes, Vol. 68, No. 3, ~000 The Method of Lyapunov Functionals in …

[引用][C] Control of Lyapunov exponents of consistent systems. II

SN Popova, EL Tonkov - Differentsial'nye Uravneniya, 1994 - mathnet.ru
7. VA Zaitsev, NV Maksimova,“K svoistvu soglasovannosti chetyrekhmernykh diskretnykh
lineinykh statsionarnykh upravlyaemykh sistem s nepolnoi obratnoi svyazyu spetsialnogo …