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Sparse solutions of optimal control via Newton method for under-determined systems - MaRDI portal

Sparse solutions of optimal control via Newton method for under-determined systems (Q2174281)

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Sparse solutions of optimal control via Newton method for under-determined systems
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    Sparse solutions of optimal control via Newton method for under-determined systems (English)
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    21 April 2020
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    The authors show how some recent versions of the Newton method for underdetermined equations can be employed for determining sparse and least-\(\ell^1\)-norm solutions to unconstrained nonlinear optimal control problems. As a practical illustration of the new theoretical results, a mathematical pendulum with friction is considered and the experimental results are presented.
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    optimal control
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    sparse control
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    Newton method
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    under-determined equations
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    \(\ell^1\)-norm
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