Bang–bang principle for linear and non-linear Goursat–Darboux problems

DOI10.1080/0020717031000123283zbMath1041.93025OpenAlexW2085222150MaRDI QIDQ4459044

Dariusz Idczak

Publication date: 25 March 2004

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

Full work available at URL: https://doi.org/10.1080/0020717031000123283

zbMATH Keywords

controllabilityAumann integralhyperbolic equationsbang-bang principlemeasurable selectionsrelaxed controlsnonlinear Goursat-Darboux problems

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Second-order nonlinear hyperbolic equations (35L70)

Related Items

The optimal control problem in the processes described by the Goursat problem for a hyperbolic equation in variable exponent Sobolev spaces with dominating mixed derivatives, On some properties of Goursat–Darboux systems with distributed and boundary controls, Bang-bang controls and piecewise constant ones for continuous Roesser systems, Necessary and sufficient optimality conditions for fractional Fornasini-Marchesini model, Nonlinear Goursat-Darboux control problem: conditions for the preservation of global solvability, Nonlocal problem with integral conditions for a high-order hyperbolic equation, Optimal control problem for Bianchi equation in variable exponent Sobolev spaces, Nonlinear continuous Fornasini-Marchesini model of fractional order with nonzero initial conditions

Cites Work

• Two-dimensional linear systems
• Convex analysis and measurable multifunctions
• Minimax, Liapunov and 'bang-bang'
• Functional analysis and time optimal control
• Explicit controllability criteria for Goursat problems
• State-space realization theory of two-dimensional filters
• On an optimization problem with cost of rapid variation of control
• On the controllability of nonlinear goursat systems
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