Robustness of a feedback control scheme for one-dimensional diffusion equations: perturbation to the Sturm-Liouville operator

DOI10.1017/S0308210500027955zbMath0784.93024MaRDI QIDQ4030485

Takao Nambu

Publication date: 1 April 1993

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

Sturm-Liouville operatorstatic feedbackone-dimensional diffusion equation

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Control/observation systems governed by partial differential equations (93C20) Feedback control (93B52) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (1)

Continuous dependence of solutions to the Lyapunov equation relative to an elliptic differential operator of order 2

Cites Work

• Feedback stabilization for distributed parameter systems of parabolic type. II
• Strong continuity of the solution to the Lyapunov equation \(XL-BX=C\) relative to an elliptic operator L
• Feedback stabilization of a class of distributed systems and construction of a state estimator
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