• lur’e feedback systems with both unbounded control and observation: well-posedness and stability using nonlinear semigroups

    جزئیات بیشتر مقاله
    • تاریخ ارائه: 1390/01/01
    • تاریخ انتشار در تی پی بین: 1390/01/01
    • تعداد بازدید: 473
    • تعداد پرسش و پاسخ ها: 0
    • شماره تماس دبیرخانه رویداد: -
    this paper is a complement of information to grabowski and callier (2006) . a siso lur’e feedback control system consisting of a linear, infinite-dimensional system of boundary control in factor form and a nonlinear static incremental sector type controller is considered. well-posedness and a criterion of absolute strong asymptotic stability of the null equilibrium is obtained using a novel nonlinear semigroup approach. a quadratic form lyapunov functional is considered via a lur’e type linear operator inequality. a sufficient strict circle criterion of solvability of the latter is found, using the solution of an operator riccati equation by a novel self contained exposition, via reciprocal systems with bounded generating operators as recently studied and used by r.f. curtain. the noncoercive case is finally considered using, in a novel way, lasalle’s invariance principle.

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