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

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

2010-04-19

arxiv.org/abs/1004.3113v1

Carpathian J. Math. 26 (2010), no. 2, 210--221

Mathematics

Optimization and Control

Submitted 17-Dec-2009; Revised 17-March-2010; recommended 31-March-2010 for publication in Carpathian J. Math. 26 (2010), no.

Scientific paper

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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