Abstract :
In this paper, we consider the sampled-data problem of interconnected systems, specifically, time- and space-invariant systems. Our main contribution is to provide sufficient conditions on well-posedness, stability, and contractiveness of sampled-data interconnected systems in the form of a group of linear operator inequalities (LOIs). And despite their infinite dimensionality, further reduce them to linear matrix inequalities (LMIs). The technique is also applicable when dynamics are spatially continuous, and measurement and actuation take place in spatially localized patches; namely, when a spatial, rather than temporal, sampled-data arrangement is present.
Keywords :
interconnected systems; linear matrix inequalities; multidimensional systems; sampled data systems; stability; infinite dimensionality; linear matrix inequalities; linear operator inequalities; sampled-data interconnected system; space-invariant system; stability; time-invariant system; Control system synthesis; Control systems; Digital control; Distributed control; Interconnected systems; Linear matrix inequalities; Stability; State-space methods; Sufficient conditions; Symmetric matrices;