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Input-to-state stability of a class of descriptor systems. (English) Zbl 1278.93228

Summary: This paper studies the Input-to-State Stability (ISS) of descriptor systems with exogenous disturbances. on the basis of the ISS theory of standard state-space nonlinear systems. A sufficient condition for a class of nonlinear descriptor system to be ISS is proved. Furthermore, a design method of the state feedback controllers is given to make the closed-loop system ISS. A numerical example is given to illustrate the effectiveness of the controller design.

MSC:

93D25 Input-output approaches in control theory
93C10 Nonlinear systems in control theory
93C73 Perturbations in control/observation systems
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References:

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