Optimization of Linear Dynamic Systems with Automatically Controlled Linear
by
Margarita Janeska
Coauthors: Suzana Taleska

Optimization problem in the linear dynamic systems' study is settled on the determination of an extreme of a certain functional having one or more functions with one or more independently variable dimensions i.e. an extreme of certain function with one or more independently variable dimensions and that leads to an integration of one differential equation or a system of diferential equations with defined limited conditions. The system of linear differential equation with which the linear dynamic system is represented by, can be represented by a system of homogeneous linear equations or with a matrix equation when a characteristic equation is required, and its coefficients in this case are always real. To each solution of the given matrix equation. In the study of the dynamic systems with automatic control, of a special importance is the method of phase traectorias with which the beheviour of the dynamic system, in respect of stability, is studied. The kind of singular point or singular curve in the phase plane that corresponds to the state of ballance of the dynamic system and the direction the ongoing point moves to, in relation to the singular point, gives a complete answer to a lot of questions such as the change in the state during the period of time, the behavior of the dynamic system around the state of balance etc.

http://homepages.feis.herts.ac.uk/~comqun/AD2000/Ext_Abstracts/janeska.doc

Date received: February 8, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cads-57.