Input dynamics and nonstandard Riccati equations with applications to boundary control of damped wave and plate equations

DOI10.1007/BF02191985zbMath0823.93031MaRDI QIDQ1893329

Dahlard L. Lukes, Irena Lasiecka, Luciano Pandolfi

Publication date: 3 July 1995

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

optimizationboundary controlRiccati equationRiccati operatorinput dynamicswave and plate equations

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Plates (74K20) Wave equation (35L05) Operator-theoretic methods (93B28) Control/observation systems in abstract spaces (93C25) Existence theories for problems in abstract spaces (49J27)

Related Items (7)

Optimal feedback arising in a third-order dynamics with boundary controls and infinite horizon ⋮ Well-posedness and Exponential Decay for the Westervelt Equation with Inhomogeneous Dirichlet Boundary Data ⋮ Kalman-Popov-Yakubovich Lemma and the \(S\)-procedure: a historical essay ⋮ Feedback control of the acoustic pressure in ultrasonic wave propagation ⋮ Linear Hyperbolic and Petrowski Type PDEs with Continuous Boundary Control → Boundary Observation Open Loop Map: Implication on Nonlinear Boundary Stabilization with Optimal Decay Rates ⋮ Equivalent conditions for the solvability of nonstandard and singular LQ-problems with application to parabolic equations ⋮ Optimal Boundary Control of the Longitudinal Vibrations of a Rod Using a Maximum Principle

Cites Work

• Characterization of domains of fractional powers of certain operators arising in elastic systems, and applications
• Semigroups of linear operators and applications to partial differential equations
• The standard regulator problem for systems with input delays. An approach through singular control theory
• Riccati Equation Arising in a Boundary Control Problem with Distributed Parameters
• A mathematical model for linear elastic systems with structural damping
• A Dirichlet Boundary Control Problem for the Strongly Damped Wave Equation
• Dirichlet Boundary Control Problem for Parabolic Equations with Quadratic Cost: Analyticity and Riccati’s Feedback Synthesis
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Input dynamics and nonstandard Riccati equations with applications to boundary control of damped wave and plate equations