Minimum time and minimum energy for linear systems; a variational approach

DOI10.1007/s00245-020-09715-xzbMath1479.49078OpenAlexW3081917421MaRDI QIDQ2232795

Ovidiu Cârjǎ, Alina I. Lazu

Publication date: 8 October 2021

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

Full work available at URL: https://doi.org/10.1007/s00245-020-09715-x

zbMATH Keywords

variational approachboundary control systemstime optimal controlnorm optimal control

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Control/observation systems in abstract spaces (93C25) Linear optimal control problems (49N05)

Cites Work

• Time optimal control of evolution equations
• Decompositions and bang-bang properties
• On the minimal time function for distributed control systems in Banach spaces
• On time-minimal distributed control of vibrating systems governed by an abstract wave equation
• On time-minimal distributed control of vibrations
• Time-invariance of the reachable set for linear control problems
• Minimum time and minimum energy for linear control systems
• On the null controllability of the one-dimensional heat equation with BV coefficients
• Convexity and Optimization in Banach Spaces
• Exact Controllability, Stabilization and Perturbations for Distributed Systems
• The “Bang-Bang” Principle for the Time-Optimal Problem in Boundary Control of the Heat Equation
• A General Theory of Observation and Control
• On the Boundary Behavior of Solutions to Elliptic and Parabolic Equations—with Applications to Boundary Control for Parabolic Equations
• On the Equivalence of Minimal Time and Minimal Norm Controls for Internally Controlled Heat Equations
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