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Gradient Observability for Semilinear Hyperbolic Systems: Sectorial Approach
TSI Team, MACS Laboratory, Department of Mathematics & Computer, Faculty of Sciences, Moulay Ismail University, Meknes, Morocco
TSI Team, MACS Laboratory, Department of Mathematics & Computer, Faculty of Sciences, Moulay Ismail University, Meknes, Morocco
- 1 TSI Team, MACS Laboratory, Department of Mathematics & Computer, Faculty of Sciences, Moulay Ismail University, Meknes, Morocco
- 2 TSI Team, MACS Laboratory, Department of Mathematics & Computer, Faculty of Sciences, Moulay Ismail University, Meknes, Morocco
Intelligent Control and Automation·Volume 05 (2014)·Pages 170–181·Published 3 July 2014·DOI10.4236/ica.2014.53019
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Abstract
The aim of this work is to study the notion of the gradient observability on a subregion ω of the evolution domain Ω for a class of semilinear hyperbolic systems. We show, under some hypothesis, that the gradient reconstruction is achieved following sectorial approach combined with fixed point techniques. The obtained results lead to an algorithm which can be implemented numerically.
KeywordsDistributed SystemsHyperbolic SystemsGradient ReconstructionRegional ObservabilityFixed PointSectorial Operator
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