Abstract: This study is devoted to derivation and mathematical analysis of piecewise affine oscillators that have desired polygonal limit cycles. First, a design method of a piecewise affine ...

Abstract: This letter addresses the issue of linearization of quadratic thermal limits of transmission lines for linear optimal power flow formulation. A new irregular polygon based linearization is ...

We consider piecewise H¹ functions and vector fields associated with a class of meshes generated by independent refinements and show that they can be effectively analyzed in terms of the number of ...

We study the positive recurrence of piecewise Ornstein—Uhlenbeck (OU) diffusion processes, which arise from many-server queueing systems with phase-type service requirements. These diffusion processes ...