Mathematical Methods in the Applied Sciences · 2013 · 115 citations · 18 references
Natural SciencesMathematicsDifferential EquationsDynamical SystemsControl Of Dynamical SystemsControl TheoryIntegral EquationsNonlinear ControlOptimal ControlCauchy ProblemFractional Differential EquationsNonlinear Control SystemsOptimal Control Existence TheoremsOptimal Control Of Nonlinear SystemsPontryagin Maximum PrinciplePontryagin's Maximum Principle
In the paper, fractional systems with Riemann–Liouville derivatives are studied. A theorem on the existence and uniqueness of a solution of a fractional ordinary Cauchy problem is given. Next, the Pontryagin maximum principle for nonlinear fractional control systems with a nonlinear integral performance index is proved. Copyright © 2013 John Wiley & Sons, Ltd.
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Some properties of fractional integrals. I.
G. H. Hardy, J. E. Littlewood · Mathematische Zeitschrift · 1928 · 908 citations