We propose a novel iterative procedure to generate hybrid models (HMs) within an optimization framework solve design problems. HMs are based on first principle and surrogate (SMs) they may represent potential plant units embedded superstructure. initial SMs with simple algebraic regression refine them by adding Gaussian Radial Basis Functions in three steps: SM refinement, domain exploration, a...

In this work we explore the dynamics of generalized hybrid metric-Palatini theory gravity in weak-field, slow-motion regime. We start by introducing equivalent scalar-tensor representation theory, which contains two scalar degrees freedom, and perform a conformal transformation to Einstein frame. Linear perturbations metric Minkowskian background are then studied for both fields. The effective ...

We discuss vacuum static, spherically symmetric asymptotically flat solutions of the generalized hybrid metric-Palatini theory gravity (generalized HMPG) suggested by Böhmer and Tamanini, involving both a metric $$g_{\mu\nu}$$ an independent connection $$\hat{\Gamma}_{\mu\nu}^{\alpha}$$ ; gravitational field Lagrangian is arbitrary function $$f(R,P)$$ two Ricci scalars, $$R$$ obtained from $$P$...

Complex systems typically possess a hierarchical structure, characterized by continuousvariable dynamics at the lowest level and logical decision-making at the highest. Virtually all control systems today perform computer-coded checks and issue logical as well as continuous-variable control commands. Such are “hybrid” systems. Traditionally, the hybrid nature of these systems is suppressed by c...