Stabilisation robuste des systèmes stochastiques de dimension infinie
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Date
2023
Authors
HEDDAR AMINA
Journal Title
Journal ISSN
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Publisher
University of Batna 2
Abstract
This thesis is mainly concerned with the studies of the robust stabilization of stochastic
differential equations in Hilbert spaces. Based on the stability radius approach, we
investigate the robust stabilization of infinite dimensional systems subjected to stochastic
structured bounded and unbounded perturbations with bounded and unbounded input
operator. The maximization of the stability radius is studied by state feedback and by
dynamic output feedback. Conditions for the existence of suboptimal controllers are introduced
in terms of Riccati equations satisfying some operator inequalities. Moreover,
lower bounds for the supremal achievable stability radius are obtained.