6533b854fe1ef96bd12ae8d7

RESEARCH PRODUCT

On the Gardner Problem for the Phase-Locked Loops

M.y. LobachevM. V. YuldashevRenat V. YuldashevNikolay KuznetsovNikolay KuznetsovNikolay Kuznetsov

subject

Phase-locked loopPhysicsRange (mathematics)MultidisciplinaryPhase space010102 general mathematics0103 physical sciencesMathematical analysisDevelopment (differential geometry)0101 mathematics01 natural sciencesStability (probability)010305 fluids & plasmas

description

This report shows the possibilities of solving the Gardner problem of determining the lock-in range for multidimensional phase-locked loops systems. The development of analogs of classical stability criteria for the cylindrical phase space made it possible to obtain analytical estimates of the lock-in range for third-order system.

https://doi.org/10.31857/s0869-56524896541-544