Decomposition of continued fraction into integers
The decomposition of an is fractional-rational transfer function , in the form of chain fraction, gives the chance to gain it as the structure consisting of elementary links. Elementary links with material factors of transfer and time constants in certain cases are necessary for gaining in the form of an integral value. Any number it is possible to present in the form of final chain fractions. And depending on a and b the one of three decomposition is gaining: a - an even number, b - an even number; a - an odd number, b - an odd number; a - an odd number, b - an even number. For each decomposition the block diagram of implementation of function is gained. Using of the offered decomposition of number is observed on a system synthesis instance. Thus, by means of the offered decomposition of number, it is possible any fractionally-rational function, matching to a system transfer function, to present in the form of certain structure from elementary links with an integral value of parameters.