Abstract Model reduction by time-domain moment matching naturally extends to nonlinear
models, where the notion of moments has a local nature stemming from the center manifold …

The relaxation of strong stability conditions on the system to be interpolated is one of the
open problems in interconnection-based interpolation by moment matching. To address this …

Abstract Model reduction is a central problem in mathematical biology. Reduced order
models enable modeling of a biological system at different levels of complexity and the …

Recently, the concept of p-dominance has been proposed as a unified framework to study
rich behaviors of nonlinear systems. In this letter, we consider finding a set of linear dynamic …

Continued fractions are classical representations of complex objects (for example, real
numbers) as sums and inverses of simpler objects (for example, integers). The analogy in …

This article considers the problem of model reduction for Lur'e-type models consisting of a
feedback interconnection between linear dynamics and static nonlinearities. We propose an …

In this paper, we consider optimal control problems (OCPs) applied to large-scale linear
dynamical systems with a large number of states and inputs. We attempt to reduce such …

In this paper, we consider optimal control problems (OCPs) applied to large-scale linear
dynamical systems with many states and many inputs and a quadratic objective function. We …

Stable oscillations, arising from nonlinear non-equilibrium dynamics, are an important class
of behavior in both nature and engineering. For engineering applications like robotic …

Mathematical modeling is an enabling tool for the design and analysis of engineering
systems. This thesis focuses on the data-driven modeling of nonlinear systems and the …