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- W2105475834 abstract "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 by Oostveen and Curtain [Automatica 34 (1998) 953–967]. All the results are illustrated in detail by an electrical transmission line example of the distortionless loaded -type. The paper uses extensively the philosophy of reciprocal systems with bounded generating operators as recently studied and used by Curtain in (2003) [Syst. Control Lett. 49 (2003) 81–89; SIAM J. Control Optim. 42 (2003) 1671–1702]." @default.
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- W2105475834 date "2005-12-15" @default.
- W2105475834 modified "2023-09-30" @default.
- W2105475834 title "On the circle criterion for boundary control systems in factor form: Lyapunov stability and Lur'e equations" @default.
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- W2105475834 doi "https://doi.org/10.1051/cocv:2005027" @default.
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