We introduce an interpolation framework for H∞ model reduction founded on ideas originating in optimal-H2 interpolatory model reduction, realization theory, and complex Chebyshev approximation. By employing a Loewner “data-driven” framework within each optimization cycle, large-scale H∞ norm calculations can be completely avoided. Thus, we are able to formulate a method that remains effective i...

A general framework for structure-preserving model reduction by Krylov subspace projection methods is developed. The goal is to preserve any substructures of importance in the matrices L, G, C, B that define the model prescribed by transfer function H(s) = L∗(G+sC)−1B. Many existing structure-preserving model-order reduction methods for linear and second-order dynamical systems can be derived u...

This paper presents an iterative two-step LMI method for improving the H 1 model error compared to Hankel norm reduction. The improvement of the Hankel norm reduced model is usually not signii-cant, typically a few percents only. For practical use the LMI reduction scheme is usually not worthwhile , but it can be interresting from the theoretical and principal point of view.

• Film formation was studied using experiments, simulations, and dimensional analyses. Circulations caused by the competition of gravity viscous forces were analyzed. Surface renewal rate super-high-viscosity liquid decreases with increasing viscosity. The scraper can limit film thickness increase surface rate. flow highly on a rotating spoked disk investigated experimentally numerically. In pr...

ion An abstraction (V , ψ,F) is given by: • V : a finite set of observables, • ψ: a mapping from V → R into V ] → R, • F: a C∞ mapping from V ] → R into V ] → R; such that: • ψ is linear with positive coefficients, and for any sequence (xn) ∈ (V → R+)N such that (||xn||) diverges towards +∞, then (||ψ(xn)||) diverges as well (for arbitrary norms || · || and || · ||), • the following diagram com...