Some problems of distributed parameter control with unilateral constraints

DOI10.1016/0022-247X(90)90399-ZzbMath0715.49007MaRDI QIDQ752456

Thomas I. Seidman

Publication date: 1990

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

zbMATH Keywords

boundary controlparabolic equationsconvex constraintspositivity constraint

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Heat equation (35K05) Linear-quadratic optimal control problems (49N10) Existence theories for problems in abstract spaces (49J27) Existence theories for optimal control problems involving partial differential equations (49J20)

Cites Work

• Time-invariance of the reachable set for linear control problems
• Exact controllability theorems for linear parabolic equations in one space dimension
• The “Bang-Bang” Principle for the Time-Optimal Problem in Boundary Control of the Heat Equation
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