Title :
Investigations of bifurcation memory effects in behaviour of nonlinear controlled systems
Author_Institution :
Volga State Acad. of Water Transp., Nizhny Novgorod, Russia
Abstract :
We consider nonlinear systems, whose number of possible stationary modes vary throughout the process of their controllable motion. The considered effects, instability stabilization in particular, may also reveal themselves in behaviour of nonlinear systems of other classes. Quite a similar result has been obtained for the basic model described by the Duffing equation with symmetrical driving force for the case when symmetrical oscillations (operating mode) are unstable
Keywords :
bifurcation; differential equations; nonlinear control systems; stability; Duffing equation; bifurcation memory effects; controllable motion; instability stabilization; nonlinear controlled systems; stationary modes; symmetrical driving force; symmetrical oscillations; Bifurcation; Control systems; Marine vehicles; Mathematical model; Motion control; Nonlinear control systems; Nonlinear systems; Process control; Stability; State-space methods;
Conference_Titel :
Control of Oscillations and Chaos, 1997. Proceedings., 1997 1st International Conference
Conference_Location :
St. Petersburg
Print_ISBN :
0-7803-4247-X
DOI :
10.1109/COC.1997.626647
