Absolute characteristic exponent of a class of linear nonstatinoary systems of differential equations

Nikita Barabanov

Tóm tắt

Từ khóa


Tài liệu tham khảo

A. Kh. Gelig, G. A. Leonov, and V. A. Yakubovich, The Stability of Nonlinear Systems with a Nonunique Equilibrium State [in Russian], Nauka, Moscow (1978).

E. S. Pyatnitskii, ?New investigations on the absolute stability of automatic control systems,? Avtomat. Telemekh., No. 6, 5?36 (1968).

E. S. Pyatnitskii, ?The absolute stability of nonstationary nonlinear systems,? Avtomat. Telemekh., No. 1, 5?15 (1970).

E. S. Pyatnitskii, ?Extension of the frequency criterion of the absolute stability of control systems with one nonlinear nonstationary element,? Izv. Vyssh. Uchebn. Zaved., Radiofiz.,15, No. 3, 319?322 (1972).

A. I. Barkin and A. L. Zelentsovskii, ?The absolute stability of automatic control systems with a single nonlinear element,? Dokl. Akad. Nauk SSSR,276, No. 4, 809?812 (1984).

A. M. Meilakhs, ?On the design of stable control systems subject to parametric perturbation,? Avtomat. Telemekh., No. 10, 1409?1418 (1978).

A. P. Molchanov and E. S. Pyatnitskii, ?Lyapunov functions, defining necessary and sufficient conditions for the absolute stability of nonlinear nonstationary control systems,? Avtomat. Telemekh., No. 3, 63?73; No. 4, 5?15; No. 5, 38?49 (1986).

A. F. Filippov, Differential Equations with a Discontinuous Right-Hand Side [in Russian], Nauka, Moscow (1985).

V. I. Opoitsev, Equilibrium and Stability in Models of Collective Behavior [in Russian], Nauka, Moscow (1977).