The methods of supplementing the general method of synthesis of discrete (digital) control systems in solving problems associated with the transition from discrete transient minimum finite duration to transients nonminimal finite duration. This allows direct measures to improve the quality of the processes involved. The solution to this type of problem associated with certain difficulties due to discrepancies between the amounts of the coefficients of the characteristic equation of the synthesized system number of initial calculated equations. Using the proposed methods in many cases allows to circumvent this problem by using special relations estimated coefficients obtained from the analysis of discrete transient characteristics desired or by obtaining more robust synthesized system after increasing its general stability. This is accomplished by a formal chargeability to unstable of stable roots in direct proximity to the stability boundary. Also, the proposed methods in aggregate allow you to customize by a finite duration transients even those systems for which it was beginning not possible due to their small dimensions, or similar reason. Key words: planning, synthesis, digital system control, stability, robust of the system, factorization, transients
