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

Abstract

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.

Submitted 17-Dec-2009; Revised 17-March-2010; recommended 31-March-2010 for publication in Carpathian J. Math. 26 (2010), no. 2. (http://carpathian.ubm.ro/)

References in corpus (2)

• Calculus of variations with fractional derivatives and fractional integrals
• Necessary Optimality Conditions for Fractional Action-Like Integrals of Variational Calculus with Riemann-Liouville Derivatives of Order $(\alpha ,\beta )$

Cited by in corpus (1)

• Fractional Calculus of Variations in Terms of a Generalized Fractional Integral with Applications to Physics