The global asymptotic stability of the origin for systems described by (x) overdot = <(sigma)over bar> (Ax), where <(sigma)over bar> is the saturation function, is studied, The case x(t) is an element of R-2 is treated in detail and conditions which are necessary and sufficient are obtained. Examples are presented to illustrate the ideas developed in the paper.
Futher conditions on the stability of Continuous Time Systems with Saturation
ALBERTINI, FRANCESCA;
2000
Abstract
The global asymptotic stability of the origin for systems described by (x) overdot = <(sigma)over bar> (Ax), where <(sigma)over bar> is the saturation function, is studied, The case x(t) is an element of R-2 is treated in detail and conditions which are necessary and sufficient are obtained. Examples are presented to illustrate the ideas developed in the paper.
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