Title :
Numerical verification of local input-to-state stability for large networks
Author :
Dashkovskiy, Sergey N. ; Rüffer, Björn S. ; Wirth, Fabian R.
Author_Institution :
Univ. Bremen, Bremen
Abstract :
We consider networks of locally input-to-state stable (LISS) systems. Under a small gain condition the entire network is again LISS. An efficient numerical test to check the small gain condition is presented in this paper. An example from applications serves as a demonstration for quantitative results.
Keywords :
Lyapunov methods; interconnected systems; stability; Lyapunov function; input-to-state stability; large networks; large scale interconnections; Control systems; Convergence; H infinity control; Interconnected systems; Large-scale systems; Lyapunov method; Stability; System testing; USA Councils;
Conference_Titel :
Decision and Control, 2007 46th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
978-1-4244-1497-0
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2007.4434626
