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.

Mehrabinezhad, I., Pini, R., Uderzo, A. (2019). Existence and continuity of solution trajectories of generalized equations with application in electronics. NONLINEAR ANALYSIS: REAL WORLD APPLICATIONS, 45, 414-436 [10.1016/j.nonrwa.2018.07.002].

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

Pini, R
;
Uderzo, A
2019

Abstract

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.
Articolo in rivista - Articolo scientifico
Electronic circuits; Generalized equations; Perturbations; Strong metric regularity; Uniform strong metric regularity;
Electronic circuits; Generalized equations; Perturbations; Strong metric regularity; Uniform strong metric regularity; Analysis; Engineering (all); Economics, Econometrics and Finance (all)2001 Economics, Econometrics and Finance (miscellaneous); Computational Mathematics; Applied Mathematics
English
2019
45
414
436
reserved
Mehrabinezhad, I., Pini, R., Uderzo, A. (2019). Existence and continuity of solution trajectories of generalized equations with application in electronics. NONLINEAR ANALYSIS: REAL WORLD APPLICATIONS, 45, 414-436 [10.1016/j.nonrwa.2018.07.002].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/223634
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