Exponentially stabilizing finite-dimensional controllers for linear distributed parameter systems: Galerkin approximation of infinite dimensional controllers

DOI10.1016/0022-247X(86)90230-1zbMath0602.93036MaRDI QIDQ1082307

Mark J. Balas

Publication date: 1986

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

exponential stabilityGalerkin approximationreduced order modellinear distributed parameter systemsfinite-dimensional controllers

Mathematics Subject Classification ID

Newton-type methods (49M15) Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Linear systems in control theory (93C05)

Related Items (3)

Nonlinear finite-dimensional control of a class of nonlinear distributed parameter systems using residual mode filters: A proof of local exponential stability ⋮ Finite modeling of parabolic equations using Galerkin methods and inverse matrix approximations ⋮ LQ-optimal boundary control of infinite-dimensional systems with Yosida-type approximate boundary observation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Linear distributed parameter systems: Closed-loop exponential stability with a finite-dimensional controller
• The Galerkin method and feedback control of linear distributed parameter systems
• Finite-dimensional control of distributed parameter systems by Galerkin approximation of infinite dimensional controllers
• Functional analysis in modern applied mathematics
• On the stabilizability problem in Banach space
• Feedback Stabilization of Linear Diffusion Systems
• Finite-dimensional compensator design for parabolic distributed systems with point sensors and boundary input
• Feedback control of flexible systems

This page was built for publication: Exponentially stabilizing finite-dimensional controllers for linear distributed parameter systems: Galerkin approximation of infinite dimensional controllers