The dynamics of legged locomotion: Models, analyses, and challenges

P Holmes, RJ Full, D Koditschek, J Guckenheimer - SIAM review, 2006 - SIAM
Cheetahs and beetles run, dolphins and salmon swim, and bees and birds fly with grace
and economy surpassing our technology. Evolution has shaped the breathtaking abilities of …

Symplectic ode-net: Learning hamiltonian dynamics with control

YD Zhong, B Dey, A Chakraborty - ar** assignment passivity-based control: A survey
R Ortega, E Garcia-Canseco - European Journal of control, 2004 - Elsevier
Interconnection and dam** assignment passivitybased control is a technique that
regulates the behavior of nonlinear systems assigning a desired (portcontrolled …

Stable flocking of mobile agents, Part I: Fixed topology

HG Tanner, A Jadbabaie… - 42nd IEEE International …, 2003 - ieeexplore.ieee.org
This is the first of a two-part paper that investigates the stability properties of a system of
multiple mobile agents with double integrator dynamics. In this first part we generate stable …

Stable flocking of mobile agents part i: dynamic topology

HG Tanner, A Jadbabaie… - 42nd IEEE International …, 2003 - ieeexplore.ieee.org
This is the second of a two-part paper, investigating the stability properties of a system of
multiple mobile agents with double integrator dynamics. In this second part, we allow the …

Interconnection and dam** assignment passivity-based control of mechanical systems with underactuation degree one

JA Acosta, R Ortega, A Astolfi… - IEEE Transactions on …, 2005 - ieeexplore.ieee.org
Interconnection and dam** assignment passivity-based control is a new controller design
methodology developed for (asymptotic) stabilization of nonlinear systems that does not rely …

[HTML][HTML] Dirac structures in Lagrangian mechanics part I: implicit Lagrangian systems

H Yoshimura, JE Marsden - Journal of Geometry and Physics, 2006 - Elsevier
This paper develops the notion of implicit Lagrangian systems and presents some of their
basic properties in the context of Dirac structures. This setting includes degenerate …