The thesis deals with one of the main research direction of the applicant in the last 5 years: design of finite/fixed-time controllers and observers by means of a canonical homogeneous norm induced by linear dilations. Such a norm simplifies the analysis and design of homogeneous control systems, and allows a liner control and state estimation algorithms to be extended easily to some non-linear cases. Canonical homogeneous norms appear in the control and systems theory in the form of controllability functions and implicit Lyapunov functions.
defended on 29/11/2018
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English