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.

Palabras clave: 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