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Robust filtering, prediction, smoothing and observability of uncertain systems

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Moheimani, S. O.Reza
Savkin, Andrey V.
Petersen, Ian R.

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The paper is concerned with a class of continuous-time uncertain systems which satisfy a certain Integral Quadratic Constraint. The problems of robust filtering, robust prediction and robust smoothing for such systems are defined and non-conservative solutions are given in terms of Riccati differential equations. The paper also addresses a problem of robust observability for this class of uncertain systems.

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Proceedings of the IEEE Conference on Decision and Control

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