A new regional approach for free distributed parameter systems

Abstract EN

The aim of this paper is to develop a new approach based on state exponential estimator.

More precisely, we extend the notion of regional exponential observability as in ref.

[1] to the case where the dynamical systems are uncontrolled (F-systems).

For different sensors, we give the characterizations of regional exponential free observer in order that exponential free observability can be achieved.

Furthermore, we show that, there exists a dynamical F-system for distributed diffusion F-system is not exponential F-observable in the usual sense, but it may be regional exponential F-observable.