RFID TAGs Coil´s system stability optimization under delayed electromagnetic interferences

In this article, Very Crucial subject discussed in RFID TAG´s stability. RFID Equivalent circuits of a Label can be represent as Parallel circuit of Capacitance (Cpl), Resistance (Rpl), and Inductance (Lpc). We define V(t) as the voltage which developed on the RFID Label and dV(t)/dt is the voltage time derivative. Due to electromagnetic interferences there are different time delays respect to RFID Label voltage and voltage time derivative. We define V₁(t) as V(t) and V₂(t) as dV(t)/dt. The delayed voltage and voltage derivative are V₁(t-τ₁) and V₂(t-τ₂) respectively (τ_1≠τ₂). The RFID equivalent circuit can be represent as a delayed differential equation which depending on variable parameters and delays. The investigation of RFID´s differential equation based on bifurcation theory [1], the study of possible changes in the structure of the orbits of a delayed differential equation depending on variable parameters. The article first illustrate certain observations and analyze local bifurcations of an appropriate arbitrary scalar delayed differential equation [2]. RFID Label stability analysis is done under different time delays respect to Label voltage and voltage derivative. Additional analyze the bifurcations of a RFID´s delayed differential equation on the circle. Bifurcation behavior of specific delayed differential equations can be encapsulated in certain pictures called bifurcation diagrams. All of that for optimization of RFID TAG´s dimensional parameters analysis under electromagnetic interferences to get the best performance.