Stabilization of strictly dissipative discrete time systems with discounted optimal control

• Autores: Vladimir Gaitsgory, Lars Grüne, Matthias Höger, Christopher M. Kellett, Steven R. Weller
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 93, 2018, págs. 311-320
• Idioma: inglés
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• Resumen

  • We consider stabilization of an equilibrium point via infinite horizon discounted optimal control in discrete-time. In addition to applications in economics and social sciences, discounted optimal control is a commonly used numerical technique guaranteeing solvability of certain classes of optimal control problems. In this paper, we present conditions based on strict dissipativity that ensure that the optimally controlled system is asymptotically stable or practically asymptotically stable. These conditions are shown to be complementary to recently proposed conditions based on a detectability property. Illustrative examples are provided.