Finite-pulse stability of interconnected systems with complete-reset pulse frequency modulators

An interconnected system of complete-reset pulse frequency modulators (CRPFM's) and linear dynamic subsystems is considered. Upper bounds are determined for the number of pulses emitted by each modulator. Each of these bounds represents a measure of the energy spent by the respective modulator. Finiteness of these bounds for all modulators constitues finite-pulse stability and implies finite energy expanded. Sufficient conditions are established for finite-pulse stability.