Higher Prolongations of Control Affine Systems: Absolute Stability and Generalized Recurrence

DOI10.1137/19M129471XzbMath1455.37079OpenAlexW3095333853MaRDI QIDQ5136122

André Marques, Hélio V. M. Tozatti, Josiney A. Souza

Publication date: 25 November 2020

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/19m129471x

zbMATH Keywords

absolute stabilityLyapunov stabilitygeneralized recurrencecontrol affine systemhigher prolongation

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Dynamical systems in control (37N35) Asymptotic properties of solutions to ordinary differential equations (34D05) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Stability theory for smooth dynamical systems (37C75)

Cites Work

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• Another characterization of absolute stability
• Lyapunov Stability and Attraction Under Equivariant Maps
• The dynamics of control. With an appendix by Lars Grüne

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