H\(_{\infty}\)-norm and invariant manifolds of systems with state delays

DOI10.1016/S0167-6911(98)00088-7zbMath0914.93020MaRDI QIDQ1285566

Uri Shaked, Eh. M. Fridman

Publication date: 28 April 1999

Published in: Systems \& Control Letters (Search for Journal in Brave)

zbMATH Keywords

invariant manifoldssingular perturbationstime-delay systemsstable manifoldsmall delaylinear \(H_{\infty}\)-controlRiccati partial differential equations

Mathematics Subject Classification ID

Perturbations in control/observation systems (93C73) (H^infty)-control (93B36) Control problems for functional-differential equations (34K35)

Related Items (2)

Robust output feedback stabilization of uncertain time-varying state-delayed systems with saturating actuators ⋮ \(H_{\infty}\) control of distributed and discrete delay systems via discretized Lyapunov functional

Cites Work

• Integral manifolds and decomposition of singularly perturbed systems
• \(H_{\infty}\)-state-feedback control of linear systems with small state delay
• Theory of functional differential equations. 2nd ed
• \(H_ \infty\)-control for distributed parameter systems: A state-space approach
• State-space solutions to standard H/sub 2/ and H/sub infinity / control problems
• The Infinite Time Quadratic Control Problem for Linear Systems with State and Control Delays: An Evolution Equation Approach
• The exact slow-fast decomposition of the algebraic Ricatti equation of singularly perturbed systems
• Memoryless H/sup ∞/ controllers for state delayed systems
• Bounded real criteria for linear time-delay systems
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