Abstract
The methodology of stability analysis is expounded to the systems automatic control feedback at presence of non-linearity. The conditions of asymptotically instability of the basic control systems are considered in the neighborhood of a program manifold. Nonlinearity satisfies to generalized conditions of local quadratic relations. The sufficient conditions of instability of the program manifold have been obtained relatively to a given vector-function by means of construction of Lyapunov function, in the form “quadratic form plus an integral from nonlinearity”. It is solved more general inverse problem of dynamics: not only builds the corresponding system of differential equations, but also investigates the instability, which is very important for a variety of mathematical models mechanics.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
