Stability Analysis of Multivalued Discrete Systems

E. Hernández García, J. Perán Mazón

We study the asymptotic analysis of discrete-time set-valued dynamical systems, characterizing limit sets, invariant sets, and attractors. We then exploit known connections between Lyapunov stability and optimization, applying these relationships to the study of iterative multifunctions.

Keywords: iteration map set.valued map Lyapunov function optimization

J. Camacho Moro, M. J. Cánovas Cánovas, H. Gfrerer, J. Parra López

B. Hernández Jiménez, B. Hernández Jiménez, Y. Chalco-Cano, A. Ramos

R. Rodríguez-López