The connection between the dynamics in relative periodic orbits of vector fields with noncom-
pact symmetry groups and periodic control for the class of control systems on Lie groups …

Taking inspiration from the crawling motion of biological cells on a substrate, we consider a
physical model of self-propulsion where the spatio-temporal driving can involve both, a …

Controllability results of four models of two-link microscale swimmers that are able to change
the length of their links are obtained. The problems are formulated in the framework of …

Inverse optimal control problem emerges in different practical applications, where the goal is
to design a cost function in order to approximate given optimal strategies of an expert …

We study the asymptotic evolution of a family of dynamic models of crawling locomotion, with
the aim to introduce a well-posed characterization of a gait as a limit behaviour. The …

Inspired by nature, elasticities and natural dynamics can be used to improve the locomotion
efficiency of robotic systems. Advances in nonlinear normal mode theory have recently …

7.4. Singularities in minimum time control 9 7.5. Software advances 10 7.6. Averaging
optimal control problems with two frequencies 10 7.7. Integrability properties of the …