| Title:
|
O nelineárních zpětnovazebních systémech (Czech) |
| Title:
|
On nonlinear feedback systems (English) |
| Author:
|
Doležal, Václav |
| Language:
|
Czech |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
14 |
| Issue:
|
6 |
| Year:
|
1969 |
| Pages:
|
497-515 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The paper gives a survey of some recent results on the stability and boundedness of the nonlinear feedback systems of the input-output type attained by the methods of abstract spaces. () |
| MSC:
|
93-02 |
| MSC:
|
93B52 |
| MSC:
|
93C10 |
| MSC:
|
93D15 |
| idZBL:
|
Zbl 0206.16403 |
| idMR:
|
MR0247899 |
| DOI:
|
10.21136/AM.1969.103256 |
| . |
| Date available:
|
2008-05-20T17:46:36Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103256 |
| . |
| Reference:
|
[1] A. H. Колмогоров С. В. Фомин: Элементы теории функций и функционального анализа.Изд. Моск. Универзитета 1964. Zbl 1230.62001 |
| Reference:
|
[2] I. W. Sandberg: Some results on the theory of physical systems governed by nonlinear functional equations.BSTJ, vol. 44, (1965), str. 871-898. Zbl 0156.15804, MR 0179563 |
| Reference:
|
[3] I. W. Sandberg: On the $L_2$-boundedness of solutions of nonlinear functional equations.BSTJ, vol. 43, (1964), str. 1581-1599. MR 0171185 |
| Reference:
|
[4] I. W. Sandberg: On the boundedness of solutions of nonlinear integral equations.BSTJ, vol. 44, (1965), str. 439-453. Zbl 0141.11102, MR 0199663 |
| Reference:
|
[5] I. W. Sandberg: On the response of nonlinear control systems to periodic input signals.BSTJ, vol. 43, (1964), str. 911-926. Zbl 0128.36001 |
| Reference:
|
[6] I. W. Sandberg: Some stability results related to those of V. M. Popov.BSTJ, vol. 44, (1965), str. 2133-2148. Zbl 0204.16602, MR 0195607 |
| Reference:
|
[7] I. W. Sandberg: Conditions for the causality of nonlinear operators defined on a function space.Quarterly Appl. Math., Vol. XXIII (1965), str. 87-91. Zbl 0135.36801, MR 0188836, 10.1090/qam/188836 |
| Reference:
|
[8] G. Zames: On the input-output stability of time-varying nonlinear feedback systems, Part. I..IEEE Trans. Aut. Control, Vol. AC-11, (1966), str. 228-238. 10.1109/TAC.1966.1098316 |
| Reference:
|
[9] G. Zames: On the input-output stability of time-varying nonlinear feedback systems, Part II..IEEE Trans. Aut. Control, Vol. AC-11, (1966), str. 465-476. 10.1109/TAC.1966.1098356 |
| Reference:
|
[10] G. Zames: Nonlinear time-varying feedback systems-conditions for $L_{\infty}$-boundedness.Proc. 3rd Ann. Allerton Conf., (1965), str. 460-471. MR 0245374 |
| Reference:
|
[11] G. Zames, L. P. Falb: Stability conditions for systems with monotone and slope-restricted nonlinearities.Proc. Conf. on Math. System Theory, Lon Angeles, (1967). MR 0229470 |
| Reference:
|
[12] V. Doležal: On general feedback systems containing delayers.Aplikace matematiky 13 (1968), 489-507. MR 0242522 |
| Reference:
|
[13] V. Doležal: On general nonlinear and quasi-linear unanticipative feedback systems.Aplikace matematiky 14 (1969), 220-240. MR 0247898 |
| Reference:
|
[14] Я. Кудревич: Устойчивость нелинейных систем с обратной связью.Автоматика я телемеханика, Том XXV, Но 8, стр. 1145-1155. |
| Reference:
|
[15] Я. Кудревич: Быстрота расхождения или затухания колебаний в динамических системах.Бюллетен польской Академии наук, серия тех. наук, том XIII, Но 3, 1965, стр. 7-10. Zbl 1099.01519 |
| Reference:
|
[16] Я. Кудревич: Положительные операторы и условия устойчивости динамических систем.Бюллетен польской Академии наук, серия тех. наук., том XII, Но 12, 1964, стр. 41-44. Zbl 1117.65300 |
| . |
