Bang-bang control of a second-order non-linear stable plant with fourth- order nonlinearity
Krishnan Balachandran, D. Somasundaram (1983)
Kybernetika
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Krishnan Balachandran, D. Somasundaram (1983)
Kybernetika
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I. Vakilzadeh, A. A. Keshavarz (1982)
Kybernetika
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M. Malek-Zavarei (1980)
Kybernetika
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Boscain, U., Piccoli, B. (1998)
Rendiconti del Seminario Matematico
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Piotr Kulczycki, Rafael Wisniewski, Piotr Kowalski, Karol Krawiec (2004)
Control and Cybernetics
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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.
Barbara Bily (2002)
Applicationes Mathematicae
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Necessary conditions for some optimal control problem for a nonlinear 2-D system are considered. These conditions can be obtained in the form of a quasimaximum principle.