This article applies a systematic approach based on the normalized determinant function (NDF) theory to analyse stability in multi‐loop circuits and to design the required stabilization network. Presenting several provisions, the return ratios are extracted by employing immittance or hybrid matrices (Z, Y, G or H) of active two ports. Using these matrices, instead of the S‐parameters, facilitates the selection of an appropriate stabilizer network. As a practical case, a non‐uniform distributed amplifier (NDA) is designed and inspected for potential instabilities. The presented procedure detects instability associated with one of the NDA circuit's loops, and an appropriate stabilization circuit is accordingly devised. In order to validate the procedure, the designed NDA is implemented in a 0.1‐μm GaAs pHEMT process. As predicted, the measurements show oscillations, once the on‐chip stabilization circuit is disabled.

Dynamic pricing is one of the most effective solutions for controlling and managing power consumption in the electricity markets. Two challenging issues to achieve this goal are to design a comprehensive policy, which can determine optimal prices for every party, and define an accurate simulator of the real environment, which can express the complexity of the satisfaction. To overcome these problems, we innovatively design an applicable and reliable policy that can determine the optimal price from every electricity market parties' point of view. Moreover, in this policy, satisfaction and profit coefficients are defined for the retailer and the customer, and then a step-by-step simulation is presented based on them. The proposed algorithm simulates interactions between the customer and retailer to reach an optimal point with improved performance. Furthermore, to increase flexibility and accuracy of the results, which make the system commercially operational, two long short-term memory networks predict wholesale price and power demand will be utilised by the pricing section. For efficiency evaluation, the proposed method is compared with similar work to prove better precision and performance.