New condition for invariance of ellipsoidal sets for discrete-time saturated systems
Résumé
In this paper, we consider the problem of characterizingthe invariant and contractive ellipsoids for discrete-timesaturated systems, as an estimate of the domain of attraction.The asymptotic stability of the controlled system is ensured bythe contractive nature of the invariant set. Sufficient conditionsfor the existence of a quadratic set-induced Lyapunov functionare established through the solution of a bilinear matrixinequalities (BMI) problem. Some computational considerationsare analyzed to overcome the problem of complexity. Anillustrative example is given to demonstrate the effectivenessof the proposed results, developed in this paper.
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