The linear control problem
V. Janković (1982)
Matematički Vesnik
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V. Janković (1982)
Matematički Vesnik
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Andrzej Cegielski, Christian Grossmann (2007)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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In this paper, properties of projection and penalty methods are studied in connection with control problems and their discretizations. In particular, the convergence of an interior-exterior penalty method applied to simple state constraints as well as the contraction behavior of projection mappings are analyzed. In this study, the focus is on the application of these methods to discretized control problem.
Azhmyakov, Vadim (2009)
Journal of Applied Mathematics
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V. Janković (1981)
Matematički Vesnik
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S. Trybuła (1987)
Applicationes Mathematicae
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Madalina Petcu, Roger Temam (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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In this article we apply the optimal and the robust control theory to the sine-Gordon equation. In our case the control is given by the boundary conditions and we work in a finite time horizon. We present at the beginning the optimal control problem and we derive a necessary condition of optimality and we continue by formulating a robust control problem for which existence and uniqueness of solutions are derived.
J. Lewoc (1971)
Applicationes Mathematicae
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Pavol Brunovský (1966)
Časopis pro pěstování matematiky
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Czesław Olech, Bronisław Jakubczyk, Jerzy Zabczyk (1985)
Banach Center Publications
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Stanisław Łojasiewicz, Jr. (1979)
Annales Polonici Mathematici
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A. Plis (1973)
Annales Polonici Mathematici
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Hans-Dieter Burkhard (1988)
Banach Center Publications
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