Practical fixed-time ISS of neutral time-delay systems with application to stabilization by using delays

• Main Authors: Efimov, D. (Author), Fridman, E. (Author), Furtat, I.B (Author), Nekhoroshikh, A.N (Author), Perruquetti, W. (Author), Polyakov, A. (Author)
• Format: Article
• Language: English
• Published: Elsevier Ltd 2022
• Subjects: Delay control systems; Delay-induced output feedback; Feedback control; Fixed time; Implicit lyapunov–krasovskii functional; Implicit Lyapunov–Krasovskii functional; Input-to-state stability; Linear matrix in equalities; Linear matrix inequalities; Linear systems; Lyapunov-Krasovskii's functional; Neutral time-delay system; Neutral time-delay systems; Non linear control; Nonlinear control; Output-feedback; Practical input-to-state stability; Stabilization; System stability; Time delay; Timing circuits
• Online Access: View Fulltext in Publisher
• ISBN: 00051098 (ISSN)
• DOI: 10.1016/j.automatica.2022.110455

The concept of practical fixed-time input-to-state stability for neutral time-delay systems with exogenous perturbations is introduced. Lyapunov–Krasovskii theorems are formulated in explicit and implicit ways. Further, the problem of static nonlinear output-feedback stabilization of a linear system with parametric uncertainties, external bounded state and output disturbances by using artificial delays is considered. The constructive control design consists in solving linear matrix inequalities with only four tuning parameters to be chosen. It is shown both, theoretically and numerically, that the system governed by the proposed controller converges faster to the given invariant set than in the case of using its linear counterpart. © 2022 Elsevier Ltd