Finite-time stability and \(H_{\infty}\) control of linear discrete-time delay systems with norm-bounded disturbances

DOI10.1007/s40306-015-0155-7zbMath1344.93043OpenAlexW1447496176MaRDI QIDQ312752

Le Anh Tuan, Vu Ngoc Phat

Publication date: 16 September 2016

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40306-015-0155-7

zbMATH Keywords

linear matrix inequalitiesdisturbances\(H_{\infty}\) controlfinite-time stabilitytime-varying delay

Mathematics Subject Classification ID

Feedback control (93B52) Discrete-time control/observation systems (93C55) (H^infty)-control (93B36) Linear systems in control theory (93C05) Robust stability (93D09)

Related Items

Finite-time boundedness control for nonlinear networked systems with randomly occurring multi-distributed delays and missing measurements ⋮ Finite-time bounded tracking control for linear discrete-time systems ⋮ Existence of solutions and finite-time stability for nonlinear singular discrete-time neural networks ⋮ Finite-time \(H_\infty\) bounded control of networked control systems with mixed delays and stochastic nonlinearities

Uses Software

• Matlab
• LMI toolbox
• Control System Toolbox

Cites Work

• Robust finite-time \(H_{\infty }\) control of singular stochastic systems via static output feedback
• \(H_\infty\) finite-time control for switched nonlinear discrete-time systems with norm-bounded disturbance
• Finite-time control for linear continuous system with norm-bounded disturbance
• Finite-time control of discrete-time linear systems: analysis and design conditions
• Finite-time \(H_{\infty }\) control for a class of discrete-time switched time-delay systems with quantized feedback
• Finite-time stability analysis and stabilization for linear discrete-time system with time-varying delay
• The application of different Lyapunov-like functionals and some aggregate norm approximations of the delayed states for finite-time stability analysis of linear discrete time-delay systems
• New criterion for finite-time stability of linear discrete-time systems with time-varying delay
• Delay-dependentH_∞control of linear discrete-time systems with an interval-like time-varying delay
• Linear Matrix Inequalities in System and Control Theory