The stability of a terminated two-port network is investigated, and the stability conditions with only one inequality are obtained. Furthermore, the stability conditions with two inequalities, which are in the same form as those for the passive terminations known at the present time, are also obtained.

The purpose of this letter is to investigate the stability of the active two port networks having some restrictions on load and source terminations, and the stability conditions having two inequalities have been obtained. As the terminations making the active two port networks stable can be obtained from these inequalities, these stability conditions are very useful for designing high frequency amplifiers, especially, tuned amplifiers.

The stability conditions and stability factors of terminated active two port networks are investigated. They are expressed with the S parameters of active devices and the radii and centers of the circles defined by source and load terminations. The stability conditions are applied to specific cases. Some of the results correspond to the stability conditions expressed in Z, Y, H or G parameters and one of the other stability conditions of terminated two port network is similar to that for passive terminations which is expressed in S parameters. The various results derived in this paper are very useful for checking the stability of amplifiers, because both stability conditions and stability factors are simply calculated by using the S parameters without using the graphical method or transforming S parameters to Z, Y, H or G parameters. These stability conditions can be also used even if negative input or output resistance appears and even if the real part of source or load immittance is negative.

The purpose of this letter is to investigate the stability conditions of the active two port networks having some restrictions on load and source terminations, and then they have been obtained. Next, these results and the previous stability coditions are investigated, and then the new combined stability condition are proposed.