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

DOI10.1007/BF01215845zbMath0748.93050WikidataQ115393857 ScholiaQ115393857MaRDI QIDQ1190823

Takao Nambu

Publication date: 27 September 1992

Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)

zbMATH Keywords

robustness analysisLyapunov-type equationfeedback stabilization scheme

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15)

Related Items (2)

Approximation algorithm for an infinite-dimensional operator equation \(XL-BX=C\) ⋮ Characterization of the domain of fractional powers of a class of elliptic differential operators with feedback boundary conditions

Cites Work

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• On the operator equation \(BX - XA = Q\)
• An extension of stabilizing compensators for boundary control systems of parabolic type
• Robustness of feedback control systems of parabolic type against perturbations to an elliptic operator
• Defect subspaces and generalized resolvents of an Hermitian operator in the space \(\Pi_\kappa\)
• Remarks on strongly elliptic partial differential equations
• A generalization of the Heinz inequality
• Feedback Stabilization of Linear Diffusion Systems
• Finite Dimensional Compensators for Parabolic Distributed Systems with Unbounded Control and Observation
• The Ljapunov equation and an application to stabilisation of one-dimensional diffusion equations
• Robustness of a feedback control scheme for one-dimensional diffusion equations: perturbation to the Sturm-Liouville operator
• Elliptic Partial Differential Equations of Second Order
• Concrete characterization of the domains of fractional powers of some elliptic differential operators of the second order

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