On existence and stability of equilibria of dc LTI circuits with constant power loads
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hdl:2117/99569
Tipus de documentText en actes de congrés
Data publicació2016
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Reconeixement-NoComercial-SenseObraDerivada 3.0 Espanya
Abstract
This paper studies the problem of existence and stability of equilibria of dc linear time–invariant circuits with constant power loads. First, we correct an unfortunate mistake in our previous work [10] pertaining to the sufficiency of the condition for existence of equilibria in multiport systems given there. Second, we give two necessary conditions for existence
of equilibria. The first one is a simple linear matrix inequality hence it can be easily verified with existing software. Third, we prove that the latter condition is also sufficient if a set defined by the problem data is convex, which is the case for single and two–port systems. Finally, sufficient conditions for stability and instability for a given equilibrium point are given. The results are illustrated with two benchmark examples
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CitacióBarabanov, N., Ortega, R., Griño, R., Polyak, B. On existence and stability of equilibria of dc LTI circuits with constant power loads. A: European Control Conference. "ECC 2016 European Control Conference June 29 - July 1, 2016. Aalborg, Denmark". Aalborg: 2016, p. 1513-1518.
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