Complete type functional approach to input to state stability of time-delay systems
Resumen:
This note addresses the study of input to state stability of nonlinear time-delay systems that are linearizable in the first approximation. It is established that, under mild conditions, the so-called complete type functional of the associated linear systems with delay is a Local Input to State Lyapunov–Krasovskii functional. Moreover, this complete type functional, which is fully defined by the delay Lyapunov matrix whenever the linear system is stable, allows the effective computation of the gains characterizing the input to state stability properties. An example illustrates the presented results.
Autores
Revista. Systems & Control Letters
https://doi.org/10.1016/j.sysconle.2024.105761