Bang-Bang Property and Time-Optimal Control for Caputo Fractional Differential Systems
Shimaa H. Abel-Gaid, Ahlam Hasan Qamlo, Bahaa Gaber Mohamed
Abstract
In this paper, by using the controllability method, a bang-bang property and a time optimal control problem for time fractional differential systems (FDS) are considered. First, we formulate our problem and prove the existence theorem. We then state and prove the bang-bang theorem. Finally, we state the optimality conditions that characterize the optimal control. Some application examples are given to illustrate our results.
Topics & Concepts
Property (philosophy)MathematicsBang–bang controlOptimal controlApplied mathematicsControl theory (sociology)Control (management)Differential (mechanical device)Mathematical economicsMathematical optimizationComputer sciencePhysicsThermodynamicsArtificial intelligenceEpistemologyPhilosophyFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisDifferential Equations and Numerical Methods