Abstract
In a given linear, multistage, cascaded amplifier [1] comprising passive coupling circuits and active two-ports alternatively, the problem is where in the amplifier the stabilizing circuit elements should be placed to eliminate instability, and of what type and value. Our investigations are based on a new recursive formula for the determinant of tridiagonal matrices. Relation of our results to the Stern stability factor has been obtained. A verification in numerical examples has also been provided.
Highlights
Stability Theory is currently being revived in many disciplines
We showed that the problem leads to the product decomposition of the determinant of the admittance matrix of the amplifier
We obtained identities for the determinants of tridiagonal matrices, and we applied them for our problem
Summary
Stability Theory is currently being revived in many disciplines This is because of the novel results in chaotic systems and investigations into its robustness. Stability related problems are in close connection with appearance and application of feedback. These investigations were based on the observation that exotic phenomena are in close connection with singularities of the model. A later, well distinguished period can be described as a numeric investigation of stability that was often in connection with invariance properties. Up to the most recent time, you can often find some novel results for describing chaotic circuit operation.
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