A one dimensional deterministic free boundary problem.
Ferreyra, Guillermo, Pascal, Jesus A. (2002)
Divulgaciones Matemáticas
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Ferreyra, Guillermo, Pascal, Jesus A. (2002)
Divulgaciones Matemáticas
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Andrei Dmitruk (2009)
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Popoviciu, Ioan (2002)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Kil Chong, Olga Kostyukova, Mariya Kurdina (2010)
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Rincon, A., Liu, I-Shih (2003)
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Arturo Enrique Gil García, Vadim Azhmyakov, Michael V. Basin (2014)
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This paper presents a theoretical approach to optimal control problems (OCPs) governed by a class of control systems with discontinuous right-hand sides. A possible application of the framework developed in this paper is constituted by the conventional sliding mode dynamic processes. The general theory of constrained OCPs is used as an analytic background for designing numerically tractable schemes and computational methods for their solutions. The proposed analytic method guarantees...
Isaia, F. (2006)
Acta Mathematica Universitatis Comenianae. New Series
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S. Migórski (1995)
Annales Polonici Mathematici
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A sequence of optimal control problems for systems governed by linear hyperbolic equations with the nonhomogeneous Neumann boundary conditions is considered. The integral cost functionals and the differential operators in the equations depend on the parameter k. We deal with the limit behaviour, as k → ∞, of the sequence of optimal solutions using the notions of G- and Γ-convergences. The conditions under which this sequence converges to an optimal solution for the limit problem are...
Huynh Ngai, Michel Théra (2007)
Control and Cybernetics
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