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arxiv: 1004.3113 · v1 · pith:E2WAW4FJnew · submitted 2010-04-19 · 🧮 math.OC

Minimal modified energy control for fractional linear control systems with the Caputo derivative

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keywords controlenergymodifiedcaputoderivativefractionalsystemsconsidered
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Fractional control systems with the Caputo derivative are considered. The modified controllability Gramian and the minimum energy optimal control problem are investigated. Construction of minimizing steering controls for the modified energy functional are proposed.

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