Criterion of absolute stability of control systems
Автор: Sinchev B., Mukhanova A., Konysbaeva A.
Журнал: Вестник Алматинского технологического университета @vestnik-atu
Рубрика: Естественные науки
Статья в выпуске: 1 (91), 2012 года.
Бесплатный доступ
There was set a new criterion of absolute stability , which is a necessary and sufficient condition for the existence of a frequency criterion of absolute stability by V.M. Popov . The first time,the analytical conditions for absolute stability of nonlinear control system of the third order are obtained .T he explicit analytical conditions for the solvability of Aizerman’s problem is obtained
Criterion, stability, control systems, equilibrium position
Короткий адрес: https://sciup.org/140204940
IDR: 140204940
Список литературы Criterion of absolute stability of control systems
- Lur’e A.I., some nonlinear tasks of the theory of automatic control -M.:L.: Science, 1951. -196 р.
- Popov V.M. The decision of a new task of stability of control systems./Automatics and telemechanics, 1963. Т. XXIV. -№1. -Р.3-15.
- Yakubovich V.A. The decision of one algebraic task meeting in the theory of control./Reports AS USSR, 1970. -M. 193. -№1. -Р. 156-162
- Meerov M.V. Analytical conditions Positivity of material function./Reports AS USSR. -Volume 165. -№4. -1965. -Р. 780 -782.
- Aisagaliev S.A. The theory of control systems -Almaty: Science, 2000. -215 р.
- Siljak D.D. Nonlinear systems. The parameter analysis and design. John Wiley and Sons, New York. -London-Sydney-Toronto, 1969.
- Sinchev B. Criterion Positivity of real rational function./the Reports NАS RК. -2008. -№5. -P. 41 -44.
- Aizerman M.A. Gantmacher F.R. Absolute stability of control systems. -М.: -L.: Science, 1951. -315 р.
- Pliss V.A. About a problem Aizerman for a case of three differential equations./Reports AS USSR. -1953. -T. 121. -№3.
Статья научная
