In this work, the existence of maximal contractive sets for unstable multi input linear systems is discussed. It is shown that, under suitable algebraic conditions, linear feedback laws can be designed such that the set of values satisfying the saturation constraints is an invariant set for the closed-loop system, which is asymptotically stable.
On the Existence of Controlled Maximal Contractive Sets for Multi Input Linear Systems
Contributed by the Dynamic Systems Division of ASME for publication in the Journal of Dynamic Systems, Measurement, and Control. Manuscript received March 8, 2012; final manuscript received December 6, 2012; published online March 28, 2013. Assoc. Editor: Sergey Nersesov.
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Cristofaro, A. (March 28, 2013). "On the Existence of Controlled Maximal Contractive Sets for Multi Input Linear Systems." ASME. J. Dyn. Sys., Meas., Control. May 2013; 135(3): 031017. https://doi.org/10.1115/1.4023402
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