Invariance Property of the Stability Test with respect to the Characteristic Impedance | Zendy

Amr A. Ibrahim | Zendy; Ali M. Darwish | Zendy; H. Alfred Hung | Zendy

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Invariance Property of the Stability Test with respect to the Characteristic Impedance

Author(s) -

Amr A. Ibrahim,

Ali M. Darwish,

H. Alfred Hung

Publication year - 2012

Publication title -

international journal of microwave science and technology

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.125

H-Index - 11

eISSN - 1687-5834

pISSN - 1687-5826

DOI - 10.1155/2012/865625

Subject(s) - mathematical proof , stability (learning theory) , mathematics , electrical impedance , control theory (sociology) , test (biology) , instability , property (philosophy) , invariant (physics) , computer science , engineering , electrical engineering , geometry , mechanics , physics , paleontology , philosophy , control (management) , epistemology , machine learning , artificial intelligence , mathematical physics , biology

Stability of electrical amplifiers is of crucial importance. Among the popular stability tests is the μ-test which has many advantages over other tests like the K-Δ test. However, the value of μ parameter is dependent on the input/output terminal characteristic impedance used and this raises the concern that the predictions of the test are dependent on the choice of . This paper proves that the conclusions of the μ-test regarding stability/instability remain invariant with . This proof is necessary for gaining confidence in the results of the μ-test and should benefit circuit designers. Similar proofs should be extended to all other stability tests for additional insights into their validity under different circuit termination

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