In this work classical and modern control theory methods are applied for rigorous mathematical analysis and design of different computer architecture circuits such as clock generators, synchronization systems and others. The present work is devoted to the questions of analysis and synthesis of feedback systems, in which there are controllable delay lines. In the work it is mathematically strictly shown that RC-chain can be used as a controllable delay line for different problems of circuit engineering if the chain is sequentially connected with hysteretic relay. This relay is either artificially introduced or shows itself as non-ideality of logic elements. The possibility of phase-locked loop application for time delay control is considered.