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

摘要

We consider a special form of parametric generalized equations arising fromelectronic circuits with AC sources and study the effect of perturbing theinput signal on solution trajectories. Using methods of variational analysisand strong metric regularity property of an auxiliary map, we are able to provethe regularity properties of the solution trajectories inherited by the inputsignal. Furthermore, we establish the existence of continuous solutiontrajectories for the perturbed problem. This can be achieved via a result ofuniform strong metric regularity for the auxiliary map. Key words and phrases: generalized equations, electronic circuits, strongmetric regularity, uniform strong metric regularity, perturbations.