Title :
Diagonal stability in the large scale system approach
Author :
Kaszkurewicz, Eugenius ; Bhaya, Amit
Author_Institution :
Dept. of Electr. Eng., Federal Univ. of Rio de Janeiro, Brazil
Abstract :
Diagonal type Lyapunov functions are ubiquitous in interconnected systems analysis and design, either by the so called vector or scalar Lyapunov function approaches. Clear justification for this phenomenon has not been given in the extensive literature on the field. This paper explains the reasons for this ubiquity, actually justifying the necessity of diagonal stability in this context
Keywords :
Lyapunov methods; control system analysis; control system synthesis; interconnected systems; stability; Lyapunov functions; diagonal stability; interconnected systems analysis; interconnected systems design; large-scale system approach; scalar Lyapunov function; vector Lyapunov function; Assembly; Brazil Council; Eigenvalues and eigenfunctions; Equations; Large-scale systems; Linear matrix inequalities; Stability; System analysis and design; System testing;
Conference_Titel :
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location :
Kobe
Print_ISBN :
0-7803-3590-2
DOI :
10.1109/CDC.1996.572874