The Stoker problem for multidimensional discrete phase control systems

Upper and lower estimates for the number of cycle slippings in the transition processes in multidimensional discrete phase control systems under external action are derived by the Lyapunov function method with the frequency theorem and a modified method of nonlocal reduction of discrete systems. The effectiveness of analytical results is illustrated with an example on the transition processes in a pulse phase-locked system with proportionally integrating filter and standard phase detector characteristics.

Presented by the member of Editorial Board: L. B. Rapoport