Global asymptotic stabilization via sampled-data control for a class of time-delayed systems

Xin Wang, Shihong Ding, Li Ma and Keqi Mei

Applied Mathematics and Computation, 2025, vol. 490, issue C

Abstract: This article addresses the issue of global asymptotic stabilization (GAS) for a group of linearly uncontrollable and unobservable time-delayed systems with uncertain control gains. As a result of the use of a nonsingular transformation and time rescaling, the group of nonlinear integrators with large delays are transformed into nonlinear integrators with small delays. Then, after applying both the homogeneous domination method and Lyapunov-Krasovskii (L-K) functionals, and revamping the adding a power integrator, we construct L-K functionals and a homogeneous non-smooth sampled-data controller, achieving GAS of the considered uncontrollable and unobservable time-delayed systems. Finally, an example is given to verify the efficiency of the proposed method.

Keywords: Global asymptotic stabilization; Homogeneous domination method; Lyapunov-Krasovskii functionals; Adding a power integrator; Sampled-data controller (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:490:y:2025:i:c:s0096300324006507

DOI: 10.1016/j.amc.2024.129189

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