Title :
Aggregability of dynamic systems and lumpability of Markov chains
Author :
Delebecque, F. ; Quadrat, J.P. ; Kokotovic, P.V.
Author_Institution :
INRIA, Le Chesnay, France
Abstract :
This paper presents a unified treatment of aggregability, lumpability, coherency and similar properties allowing model simplification. Each of the N groups of states is represented by one aggregate variable and an aggregate model is formed. Interpretation is given when groups are coherent, but not aggregable and vice-versa. In a class of systems aggregability and coherency hold simultaneously.
Keywords :
Aggregates; Extraterrestrial phenomena; Matrix decomposition; Null space; Power generation economics; Power system analysis computing; Power system economics; Power system modeling; Queueing analysis; Sufficient conditions;
Conference_Titel :
Decision and Control including the Symposium on Adaptive Processes, 1981 20th IEEE Conference on
Conference_Location :
San Diego, CA, USA
DOI :
10.1109/CDC.1981.269510
