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A Lur’e feedback control system consisting of a linear, infinite-dimensional system of boundary control in factor form and a nonlinear static sector type controller is considered. A criterion of absolute strong asymptotic stability of the null equilibrium is obtained using a quadratic form Lyapunov functional. The construction of such a functional is reduced to solving a Lur’e system of equations. A sufficient strict circle criterion of solvability of the latter is found, which is based on results...
A corrected version of [P. Grabowski and F.M. Callier,
(2006) 169–197], Theorem 4.1, p. 186, and Example, is given.
A Lur'e feedback control system consisting of a linear, infinite-dimensional
system of boundary control in factor form and a nonlinear static sector type
controller is considered. A criterion of absolute strong asymptotic stability of
the null equilibrium is obtained using a quadratic form Lyapunov functional.
The construction of such a functional is reduced to solving a Lur'e system of
equations. A sufficient strict circle criterion of solvability of the latter is found,
which is based on...
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