Invariant dynamical systems are complex systems for which every state trajectory that starts from a given physically admissible subset of the state space, remains in this subset for all time. Usually, in order to control such systems (i.e. for example in order to stabilize them around equilibria of interest), one typically uses feedback of the estimated state. The main objective is to analyze and to design nonlinear state estimators for invariant semilinear distributed parameter systems.
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