Title :
Positive feedback interconnection of Hamiltonian systems
Author :
Van der Schaft, A.J.
Author_Institution :
Johann Bernoulli Inst. for Math. & Comput. Sci., Univ. of Groningen, Groningen, Netherlands
Abstract :
Recent results on counterclockwise input-output dynamics and negative-imaginary transfer matrices are interpreted from a geometric Hamiltonian systems point of view, providing additional insights and results.
Keywords :
feedback; geometry; interconnected systems; nonlinear control systems; transfer function matrices; vibration control; counterclockwise input-output dynamics; geometric Hamiltonian systems; negative-imaginary transfer matrices; nonlinear vibration control; positive feedback interconnection; Asymptotic stability; Eigenvalues and eigenfunctions; Interconnected systems; Linear systems; Matrix decomposition; Symmetric matrices; Vectors;
Conference_Titel :
Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
978-1-61284-800-6
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2011.6160395
