On some properties of Goursat–Darboux systems with distributed and boundary controls

DOI10.1080/00207170410001726804zbMath1054.93027OpenAlexW2081842051MaRDI QIDQ4822887

Dariusz Idczak, Stanislaw Walczak

Publication date: 25 October 2004

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207170410001726804

zbMATH Keywords

well-posednessattainable setdensity propertyGoursat-Darboux systemsdistributed and boundary controlsbang-bang controllabilty

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Multivariable systems, multidimensional control systems (93C35) Attainable sets, reachability (93B03)

Related Items (2)

Bang-bang controls and piecewise constant ones for continuous Roesser systems ⋮ Relaxation in the optimal control problem for the Goursat-Darboux system

Cites Work

• Existence theorems for optimization problems concerning linear, hyperbolic partial differential equations without convexity conditions
• On the reachable sets in linear systems
• On the existence of a solution for some distributed optimal control hyperbolic system
• Minimax, Liapunov and 'bang-bang'
• The existence of optimal controls in the absence of convexity conditions
• On an optimization problem with cost of rapid variation of control
• Bang–bang principle for linear and non-linear Goursat–Darboux problems

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