Optimal control of a singular PDE modeling transient MEMS with control or state constraints

DOI10.1016/j.jmaa.2013.08.058zbMath1307.49020OpenAlexW1969522501MaRDI QIDQ2260434

Christian Clason, Barbara Kaltenbacher

Publication date: 10 March 2015

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.08.058

zbMATH Keywords

state constraintscontrol constraintsmicroelectromechanical systems (MEMS)singular PDEsoptimal control of PDEs

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20)

Related Items (3)

Optimal control for the thin film equation: convergence of a multi-parameter approach to track state constraints avoiding degeneracies ⋮ Some singular equations modeling MEMS ⋮ State-estimator-based robust vibration control of crane bridge system with trolley via PDE model

Cites Work

• Boundary optimal control of the Westervelt and the Kuznetsov equations
• On the use of state constraints in optimal control of singular PDEs
• Direct and inverse problems related to MEMS
• Optimal Control of Semilinear Multistate Systems with State Constraints
• Mathematical Problems of Statistical Hydromechanics
• A lagrange multiplier theorem for control problems with state constraints
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