Alexander Zemliak



The possibility of applying the maximum principle of Pontryagin to the problem of optimization of electronic circuits is analysed. The presented theoretical approach is directed to a possibility of designing of any analog circuits. It is shown that in spite of the fact that the problem of optimization is formulated as a nonlinear task, and the maximum principle in this case isn't a sufficient condition for obtaining a maximum of the functional, it is possible to obtain the decision in the form of local minima. The relative acceleration of the CPU time for the best strategy found by means of maximum principle compared with the traditional approach is equal two to three orders of magnitude.

Keywords: Circuit optimization; controllable dynamic system; optimization strategies; maximum principle of Pontryagin.



Se analiza la posibilidad de aplicar el principio máximo de Pontryagin al problema de la optimización de circuitos electrónicos. Se demuestra que a pesar de que el problema de la optimización es formulado como una tarea no lineal, y el principio máximo en este caso no es una condición suficiente para obtener mínimo del funcional, es posible obtener la decisión en la forma de mínimos locales.  La aceleración relativa del tiempo de cómputo para la mejor estrategia encontrada por medio del principio máximo comparado con el enfoque tradicional es igual de dos a tres órdenes de magnitud.

Palabras Claves: Estrategias de optimización, optimización del circuito, principio máximo de Pontryagin, sistema dinámico controlable.

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