Aggregability of dynamic systems and lumpability of Markov chains

F. Delebecque, Jean-Pierre Quadrat, P.V. Kokotović · 1981

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.

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