Stabilization of Lur'e-type nonlinear control systems by Lyapunov-Krasovskii functionals

DOI10.1186/1687-1847-2012-229zbMath1377.34081OpenAlexW2066923632WikidataQ59288163 ScholiaQ59288163MaRDI QIDQ1690880

Andrei Shatyrko, Josef Diblík, Denis Ya. Khusainov, Miroslava Ružičková

Publication date: 12 January 2018

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

Full work available at URL: https://doi.org/10.1186/1687-1847-2012-229

zbMATH Keywords

absolute stabilitystabilizationLyapunov functionaltime-delay argument

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Stability theory of functional-differential equations (34K20) Stabilization of solutions to ordinary differential equations (34H15)

Related Items (14)

Stability analysis of nonlinear observer for neutral uncertain time-delay systems ⋮ Robust stability of uncertain Markovian jump neural networks with mode-dependent time-varying delays and nonlinear perturbations ⋮ Absolute stability of time-varying delay Lurie indirect control systems with unbounded coefficients ⋮ Absolute stability of large-scale time-delay lurie indirect control systems with unbounded coefficients ⋮ A graph-theoretic approach to global input-to-state stability for coupled control systems ⋮ Robust stability analysis for Lur'e systems with interval time-varying delays via Wirtinger-based inequality ⋮ On stability analysis of discrete-time uncertain switched nonlinear time-delay systems ⋮ On extended dissipativity analysis for neural networks with time-varying delay and general activation functions ⋮ An approach to solving optimal control problems of nonlinear systems by introducing detail-reward mechanism in deep reinforcement learning ⋮ Bounded input bounded output stability for Lurie system with time-varying delay ⋮ A constructive way to design a switching rule and switching regions to mean square exponential stability of switched stochastic systems with non-differentiable and interval time-varying delay ⋮ Robust stability and \(H_\infty\)-control of uncertain systems with impulsive perturbations ⋮ Stabilization of neutral-type indirect control systems to absolute stability state ⋮ Stability analysis of high-order iterative learning control for a class of nonlinear switched systems

Cites Work

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