This paper aims at reviewing nonlinear methods for model order reduction in structures with
geometric nonlinearity, with a special emphasis on the techniques based on invariant …

Dynamical and structural systems are susceptible to sudden excitations and loadings such
as wind gusts, blasts, earthquakes, and others which may cause destructive vibration …

In a world designed for legs, quadrupeds, bipeds, and humanoids have the opportunity to
impact emerging robotics applications from logistics, to agriculture, to home assistance. The …

Contact is ubiquitous and often unavoidable and yet modeling contacting systems continues
to stretch the limits of available computational tools. In part this is due to the unique hurdles …

A comprehensive introduction to hybrid control systems and design Hybrid control systems
exhibit both discrete changes, or jumps, and continuous changes, or flow. An example of a …

We present a differentiable dynamics solver that is able to handle frictional contact for rigid
and deformable objects within a unified framework. Through a principled mollification of …

This book contains mathematical preliminaries in which basic definitions of fractional
derivatives and spaces are presented. The central part of the book contains various …

Direct methods for trajectory optimization are widely used for planning locally optimal
trajectories of robotic systems. Many critical tasks, such as locomotion and manipulation …

Robust stability and control for systems that combine continuous-time and discrete-time
dynamics. This article is a tutorial on modeling the dynamics of hybrid systems, on the …

Complementary to Chapter 11, the present chapter is devoted to the study of solution
methods for VIs that are of the monotone type and also for NCPs of the P 0 type. We already …