Discretization of Dirac systems and port-Hamiltonian systems: the role of the constraint algorithm
By: María Barbero-Liñán, Juan Manuel López Medel, David Martín de Diego
Potential Business Impact:
Makes math models of physics systems work better.
We study the discretization of (almost-)Dirac structures using the notion of retraction and discretization maps on manifolds. Additionally, we apply the proposed discretization techniques to obtain numerical integrators for port-Hamiltonian systems and we discuss how to merge the discretization procedure and the constraint algorithm associated to systems of implicit differential equations.
Similar Papers
Retraction maps in optimal control of nonholonomic systems
Numerical Analysis
Makes robots move more smoothly and precisely.
Numerical Integrators for Mechanical Systems on Lie Groups
Numerical Analysis
Makes computer math for robots and physics easier.
Energy-optimal control of discrete-time port-Hamiltonian systems
Systems and Control
Makes computer control systems more stable.