Application of the maximum principle for the circuits optimization

Аннотация

The solution of the problem of computational time reduce during optimization of electronic circuits allows to enhance the development quality. Generalized methodology of the circuits optimization developed before on a basis of optimal control allows to define many different optimization strategies. Definition of Lyapunov’s function of optimization process and its analysis for different strategies allows to compare these strategies from viewpoint of computational burden and select the best of them. At the same time the most grounded approach for the search of optimal development strategy in this statement is Pontryagin maximum principle. But application of this principle for solution of non-linear problems is related to essential complications. In this paper it is obtained the solution of electronic circuit optimization problem during minimal amount possible processor time on a basis of Pontryagin maximum principle in general case of N variables. It is shown that effect studied before for acceleration of the process of optimization coincides the solution on a basis of the maximum principle. This fact is the theoretical explanation of the acceleration effect. From the other hand the principle of maximum can be the basis for development of the algorithm for electronic circuits optimization with minimal processor time cost.