Exponential stabilization of uncertain nonlinear time-delay systems

DOI10.1186/1687-1847-2012-180zbMath1377.93141OpenAlexW2136392468WikidataQ59291128 ScholiaQ59291128MaRDI QIDQ1690827

Jinying Liu, Yali Dong

Publication date: 12 January 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2012-180

zbMATH Keywords

exponential stabilizationLyapunov-Krasovskii functionallinear matrix inequality (LMI)periodically intermittent controltime-delay nonlinear systems

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Control/observation systems with incomplete information (93C41) Asymptotic stability in control theory (93D20) Adaptive or robust stabilization (93D21)

Related Items (8)

Delay-independent stability criteria under arbitrary switching of a class of switched nonlinear time-delay systems ⋮ Novel delay-dependent exponential stabilization criteria of a nonlinear system with mixed time-varying delays via hybrid intermittent feedback control ⋮ Identification and control of delayed unstable and integrative LTI MIMO systems using pattern search methods ⋮ Guaranteed cost control for exponential stability of a nonlinear system with mixed time-varying delays in states and controls ⋮ Stability and estimate of solution to uncertain neutral delay systems ⋮ Observer-based periodically intermittent control for linear systems via piecewise Lyapunov function method ⋮ Stabilization of neutral-type indirect control systems to absolute stability state ⋮ Modified transfer matrix method for steady-state forced vibration: a system of beam elements*

Uses Software

• Matlab
• LMI toolbox

Cites Work

• Exponential stabilization of nonlinear uncertain systems with time-varying delay
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• Control of oscillating systems with a single delay
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• Robust control of a class of uncertain nonlinear systems
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• Intermittent dynamical control
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• Stability of nonlinear autonomous quadratic discrete systems in the critical case
• Quadratic stabilization of switched nonlinear systems
• Exponential stability of uncertain dynamic systems including state delay
• Exponential stabilization of chaotic systems with delay by periodically intermittent control
• Delay-dependent robust stabilization of uncertain systems with multiple state delays
• Global asymptotic stabilisation of non-linear systems
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