Optimal Control of a Stefan Problem with State-Space Constraints.
Tomás Roubicek (1986/87)
Numerische Mathematik
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Tomás Roubicek (1986/87)
Numerische Mathematik
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M. Fortin (1985)
Numerische Mathematik
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K. Maciej Przyłuski (2014)
International Journal of Applied Mathematics and Computer Science
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In a Hilbert space setting, necessary and sufficient conditions for the minimum norm solution u to the equation Su = Rz to be continuously dependent on z are given. These conditions are used to study the continuity of minimum energy and linear-quadratic control problems for infinite dimensional linear systems with fixed endpoints.
J.E. Shirey (1982)
Numerische Mathematik
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P. Rentrop, M. Roche, G. Steinebach (1987)
Numerische Mathematik
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H. COHN (1959)
Numerische Mathematik
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Vitoriano Ruas (1987/88)
Numerische Mathematik
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Bucci, F. (1998)
Rendiconti del Seminario Matematico
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Nikolai P. Osmolovskii (2012)
ESAIM: Control, Optimisation and Calculus of Variations
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Second-order sufficient conditions of a bounded strong minimum are derived for optimal control problems of ordinary differential equations with initial-final state constraints of equality and inequality type and control constraints of inequality type. The conditions are stated in terms of quadratic forms associated with certain tuples of Lagrange multipliers. Under the assumption of linear independence of gradients of active control constraints they guarantee the bounded strong quadratic...
Nikolai P. Osmolovskii (2012)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
Second-order sufficient conditions of a bounded strong minimum are derived for optimal control problems of ordinary differential equations with initial-final state constraints of equality and inequality type and control constraints of inequality type. The conditions are stated in terms of quadratic forms associated with certain tuples of Lagrange multipliers. Under the assumption of linear independence of gradients of active control constraints...