Analysis of firmness of different strategies of optimization of analog circuits
DOI:
https://doi.org/10.20535/RADAP.2011.44.9-15Keywords:
optimization of analog circuits, the control theory, optimum algorithm of designing, Lyapunov function of process of designing, stability of a trajectory of the designing, vector of controlAbstract
The problem of designing of analog circuits is presented in the generalized formulation. Generalization consists in possibility of refusal of performance of laws of Kirchhoff during designing process at their unconditional performance in its final point. Thus there is a possibility to redistribute an expense of computer time between the block of the analysis of a circuit and the block of parametrical optimization. Basic element of this redistribution is specially entered vector of control. In such a case the process of designing of a circuit will be formulated in terms of the theory of control as controlled dynamic system. For the analysis of properties of such system it is offered to use the concept of function of Lyapunov of dynamic system. Various forms of function of Lyapunov are offered. The analysis of behavior of func-tion of Lyapunov and its derivative has allowed establishing considerable correlation be-tween properties of this function and processor time of designing of a circuit.
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