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RESEARCH PRODUCT
On the dynamical stability of negative conductance free running oscillators
E.f. CalandraA.m. Sommarivasubject
Stability conditionsNonlinear systemControl theoryOscillationNegative resistanceMathematical analysisGeneral EngineeringPhase (waves)Differential (infinitesimal)Stability (probability)Characteristic polynomialMathematicsdescription
For a class of weakly nonlinear autonomous systems exhibiting both resistive and reactive nonlinearities, asymptotic orbital stability is investigated through a new narrow-band differential approach. The main result is the derivation of the exact characteristic polynomial associated with the local dynamics of the amplitude and phase of the free-running oscillation to be tested. For an nth-order circuit, (n - 1) necessary and sufficient stability conditions are then obtained, in an analytical explicit form suitable for computer implementation, by resorting to conventional Hurwitz test algorithms. A comparison with other differential stability criteria available in the literature is also carried out. As an example, a double-tuned oscillator is finally investigated.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1985-01-01 | IEE Proceedings G (Electronic Circuits and Systems) |