### Input to state stability properties of nonlinear systems and applications to bounded feedback stabilization using saturation

J. Tsinias (1997)

ESAIM: Control, Optimisation and Calculus of Variations

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J. Tsinias (1997)

ESAIM: Control, Optimisation and Calculus of Variations

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Andrew R. Teel (1996)

ESAIM: Control, Optimisation and Calculus of Variations

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Ceragioli, F. (1998)

Rendiconti del Seminario Matematico

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Andrew R. Teel, Laurent Praly (2000)

ESAIM: Control, Optimisation and Calculus of Variations

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Hartmut Logemann, Eugene P. Ryan (2003)

ESAIM: Control, Optimisation and Calculus of Variations

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An existence and regularity theorem is proved for integral equations of convolution type which contain hysteresis nonlinearities. On the basis of this result, frequency-domain stability criteria are derived for feedback systems with a linear infinite-dimensional system in the forward path and a hysteresis nonlinearity in the feedback path. These stability criteria are reminiscent of the classical circle criterion which applies to static sector-bounded nonlinearities. The class of hysteresis...

Farid Ammar-Khodja, Ahmed Bader, Assia Benabdallah (1999)

ESAIM: Control, Optimisation and Calculus of Variations

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Andrea Bacciotti, Francesca Ceragioli (1999)

ESAIM: Control, Optimisation and Calculus of Variations

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Hamid Bounit (2003)

International Journal of Applied Mathematics and Computer Science

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In this paper we examine the stability of an irrigation canal system. The system considered is a single reach of an irrigation canal which is derived from Saint-Venant's equations. It is modelled as a system of nonlinear partial differential equations which is then linearized. The linearized system consists of hyperbolic partial differential equations. Both the control and observation operators are unbounded but admissible. From the theory of symmetric hyperbolic systems, we derive the...