Abstract
This note deals with the state reconstruction of a class of discrete-time systems with time-varying parameters. While usually, the parameters are assumed to be online available, the special situation when the parameters are estimated with a finite accuracy is considered. The main objective of the note is to show that, despite of the resulting mismatch between the true system and the model, the state reconstruction error boundedness can be guaranteed and an explicit bound can be derived. The proof is based upon the concept of Input-to-State Stability. An illustrative example borrowed from the chaos synchronization problem is given.
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