engleski

Stability Analysis of Spatially Distributed Dynamical Systems

One of the main goals in control theory for spatially distributed systems (large-scale dynamical networks) is a development of scalable and efficient stability analysis methods. Stability analysis is a first step towards an even more challenging task of designing controllers for such systems. Since we have to deal with a large number of states and interconnection variables, direct application of classical stability analysis methods on the overall network as a single system would result in a prohibitively high computational complexity. An alternative solution is to find local conditions which, when satisfied separately by the subsystems in the network, guarantee the stability of the overall network. One of the key challenges in such alternative approach is to obtain scalable analysis conditions, which are at the same time not too conservative for practical applications.

Stability analysis ; Dynamical networks ; Dissipativity

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