The methods of analysis and synthesis of nonadaptive automatic control systems and other dynamic systems, capable of providing an acceptable or the highest guaranteed level of operation accuracy under the allowable uncertainty of excitation properties and system characteristics are stated. Control accuracy is estimated by the upper bound of the total r.-m.-s. or maximal error. When giving the class of input excitations, the restriction of possible values of derivatives, generalized moments of spectral densities, width of a spectrum and other numerical characteristics, which are easily controllable inpractice are used. The research on frequency and time domains are based on mathematical results of the general problem of moments, the theory of disturbance accumulation and numerical methods. This book is aimed towards specialists indesigning and researching control systems, engineers, postgraduate, and students.