Firstintegral theory for controlled mechanical systems
Abstract
The theory of first integrals is extended to controlled dynamical systems. Necessary and sufficient conditions are given for the existence of first integrals. In this case the modern concept of controllability plays an important role. In the case of mechanical systems the connections between momentum integrals, conservation of energy, and eigenmodes are illustrated. The importance of this new relation between classical dynamics and modern control theory is demonstrated by some examples.
 Publication:

Zeitschrift Angewandte Mathematik und Mechanik
 Pub Date:
 November 1974
 DOI:
 10.1002/zamm.19740541004
 Bibcode:
 1974ZaMM...54..695M
 Keywords:

 Control Theory;
 Dynamic Characteristics;
 Integral Calculus;
 Linear Systems;
 Controllability;
 Differential Equations;
 Eigenvalues;
 Energy Conservation;
 Momentum;
 Pendulums;
 Spacecraft Stability;
 Spin Stabilization;
 Physics (General)