Existence and continuity of solution trajectories of generalized equations with application in electronics

I. Mehrabinezhad, R. Pini, A. Uderzo

Rannsóknarafurð: Framlag til fræðitímaritsGreinritrýni

Útdráttur

We consider a special form of parametric generalized equations arising from electronic circuits with AC sources and study the effect of perturbing the input signal on solution trajectories. Using methods of variational analysis and strong metric regularity property of an auxiliary map, we are able to prove the regularity properties of the solution trajectories inherited by the input signal. Furthermore, we establish the existence of continuous solution trajectories for the perturbed problem. This can be achieved via a result of uniform strong metric regularity for the auxiliary map.

Upprunalegt tungumálEnska
Síður (frá-til)414-436
Síðufjöldi23
FræðitímaritNonlinear Analysis: Real World Applications
Bindi45
DOI
ÚtgáfustaðaÚtgefið - feb. 2019

Athugasemd

Publisher Copyright:
© 2018 Elsevier Ltd

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