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Adaptive stabilization of coupled PDE–ODE systems with multiple uncertainties

Jian LiYungang Liu — 2014

ESAIM: Control, Optimisation and Calculus of Variations

The adaptive stabilization is investigated for a class of coupled PDE-ODE systems with multiple uncertainties. The presence of the multiple uncertainties and the interaction between the sub-systems makes the systems to be considered more general and representative, and moreover it may result in the ineffectiveness of the conventional methods on this topic. Motivated by the existing literature, an infinite-dimensional backsteppping transformation with new kernel functions is first introduced to change...

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