Previous |  Up |  Next

Article

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.
References:
[1] A. H. Колмогоров С. В. Фомин: Элементы теории функций и функционального анализа. Изд. Моск. Универзитета 1964. Zbl 1230.62001
[2] I. W. Sandberg: Some results on the theory of physical systems governed by nonlinear functional equations. BSTJ, vol. 44, (1965), str. 871-898. MR 0179563 | Zbl 0156.15804
[3] I. W. Sandberg: On the $L_2$-boundedness of solutions of nonlinear functional equations. BSTJ, vol. 43, (1964), str. 1581-1599. MR 0171185
[4] I. W. Sandberg: On the boundedness of solutions of nonlinear integral equations. BSTJ, vol. 44, (1965), str. 439-453. MR 0199663 | Zbl 0141.11102
[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
[6] I. W. Sandberg: Some stability results related to those of V. M. Popov. BSTJ, vol. 44, (1965), str. 2133-2148. MR 0195607 | Zbl 0204.16602
[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. MR 0188836 | Zbl 0135.36801
[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. DOI 10.1109/TAC.1966.1098316
[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. DOI 10.1109/TAC.1966.1098356
[10] G. Zames: Nonlinear time-varying feedback systems-conditions for $L_{\infty}$-boundedness. Proc. 3rd Ann. Allerton Conf., (1965), str. 460-471. MR 0245374
[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
[12] V. Doležal: On general feedback systems containing delayers. Aplikace matematiky 13 (1968), 489-507. MR 0242522
[13] V. Doležal: On general nonlinear and quasi-linear unanticipative feedback systems. Aplikace matematiky 14 (1969), 220-240. MR 0247898
[14] Я. Кудревич: Устойчивость нелинейных систем с обратной связью. Автоматика я телемеханика, Том XXV, Но 8, стр. 1145-1155.
[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
[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
Partner of
EuDML logo