Norm based robust control of state-constrained discrete-time linear systems

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Abstract
The author presents a theoretical framework for analyzing the stability properties of constrained discrete-time systems in the presence of uncertainty, and it is shown that this formalism provides a unifying approach, including as a particular case the well-known technique of estimating robustness bounds from the solution of a Lyapunov equation. These results are applied to the problem of designing feedback controllers capable of stabilizing a family of systems, while at the same time satisfying state-space constraints.