Robust stability of lateral inhibition networks in the presence of circuit parasitics

In the analog VLSI implementation of neural systems, it is sometimes convenient to build lateral inhibition networks by using a locally connected on-chip resistive grid. Spontaneous oscillation often arises in these systems due to circuit parasitics rendering them unstable in practice. Necessary and sufficient conditions are given for the cell admittance functions for the stability of the system in the presence of circuit parasitics. A robust design approach for these systems is also indicated.<>