Robust H∞ control of linear time-varying systems with mixed delays in the Hilbert space

DOI10.1002/oca.952zbMath1300.93064OpenAlexW2130985827MaRDI QIDQ3098475

Nguyen Sinh Bay, Nguyen M. Linh, Vu Ngoc Phat

Publication date: 17 November 2011

Published in: Optimal Control Applications and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/oca.952

zbMATH Keywords

controllabilitytime delaystabilizationHilbert spaceLyapunov functionalRiccati equationtime-varying system\(H_{\infty }\) control

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by functional-differential equations (93C23) (H^infty)-control (93B36) Linear systems in control theory (93C05)

Related Items (4)

On the asymptotical and practical stability of stochastic control systems ⋮ Observer‐based H_∞ control of discrete Markovian jump delay systems with random packet losses and multiplicative noises ⋮ Unnamed Item ⋮ Modeling and computation of an integral operator Riccati equation for an infinite-dimensional stochastic differential equation governing streamflow discharge

Cites Work

• Unnamed Item
• State feedback stabilization of nonlinear discrete-time systems with time-varying time delay
• Semigroups of linear operators and applications to partial differential equations
• Riccati equations for strongly stabilizable bounded linear systems
• Delay-dependent robust \({\mathcal H}_\infty\) of uncertain linear state-delayed systems
• \(H_ \infty\)-control for distributed parameter systems: A state-space approach
• Product of nonnegative operators and infinite-dimensional \(H_{\infty}\) Riccati equations
• Global stabilization for linear continuous time-varying systems
• Delay-dependent robust stability for stochastic time-delay systems with polytopic uncertainties
• Quadratic Control for Linear Time-Varying Systems
• Linear-Quadratic Optimal Control of Hereditary Differential Systems: Infinite Dimensional Riccati Equations and Numerical Approximations
• $H^\infty $ Control of Linear Time-Varying Systems: A State-Space Approach
• H/sub ∞/ memoryless control with an α-stability constraint for time-delay systems: an LMI approach
• State and Disturbance Estimator for Time-Delay Systems With Application to Fault Estimation and Signal Compensation
• Robust H_∞ control for uncertain linear neutral delay systems

This page was built for publication: Robust H∞ control of linear time-varying systems with mixed delays in the Hilbert space