Time-Optimal Control of Linear Fractional Systems

Abstract

Problem of time-optimal control of linear systems with fractional dynamics is treated in the paper from the convex-analytic standpoint. A linear system of fractional differential equations involving Riemann--Liouville derivatives is considered. A method to construct a control function that brings trajectory of the system to the terminal state in the shortest time is proposed in terms of attainability sets and their support functions.

Example added, some minor corrections

References in corpus (2)

• Fractional Variational Calculus with Classical and Combined Caputo Derivatives
• Optimal random search, fractional dynamics and fractional calculus

Cited by in corpus (3)

• Computing the matrix Mittag-Leffler function with applications to fractional calculus
• Solution of Linear Fractional Systems with Variable Coefficients
• An Identity Involving Integration with Respect to Variable Order of Fractional Derivative