A Newton method for the computation of time-optimal boundary controls of one-dimensional vibrating systems

DOI10.1016/S0377-0427(99)00291-5zbMath0953.93042WikidataQ104129321 ScholiaQ104129321MaRDI QIDQ1970390

Martin Gugat

Publication date: 22 January 2001

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

parametric optimizationtime-optimal controloptimal value functionmoment problemsrotating beamtime-parametric auxiliary problemvalue function's root

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Linear optimal control problems (49N05)

Related Items (4)

Time-optimality by distance-optimality for parabolic control systems ⋮ Controllability of a slowly rotating Timoshenko beam ⋮ Norm-minimal Neumann boundary control of the wave equation ⋮ Boundary optimal control of structural vibrations in an annular plate

Cites Work

• On moment theory and controllability of one-dimensional vibrating systems and heating processes
• Nonharmonic FOurier series in the control theory of distributed parameter systems
• Some trigonometrical inequalities with applications to the theory of series
• Optimal control of processes governed by partial differential equations part II: Vibrations
• Numerical Solution of Ordinary Differential Equations
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