Properties of recoverable region and semi-global stabilization in recoverable region for linear systems subject to constraints

Antonie Arij Stoorvogel, Ali Saberi, Guoyong Shi

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    This paper investigates linear systems subject to input and state constraints. It is shown that the recoverable region (which is the largest domain of attraction that is theoretically achievable) can be semiglobally stabilized by continuous nonlinear feedbacks while satisfying the constraints. Moreover, when trying to compute the recoverable region, a reduction technique shows that we only need to compute the recoverable region for a system of lower dimension which generally leads to a considerable simplification in the computational effort.
    Original languageUndefined
    Article number10.1016/j.automatica.2004.04.008
    Pages (from-to)1481-1494
    Number of pages14
    Issue number9
    Publication statusPublished - Sept 2004


    • Input constraints
    • Linear systems
    • Recoverable region
    • IR-68844
    • State constraints
    • EWI-16633
    • Stabilization

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