Controllability of nonlinear systems via fixed-point theorems
Journal of Optimization Theory and Applications
On the initial conditions in continuous-time fractional linear systems
Signal Processing - Special issue: Fractional signal processing and applications
Theory and Applications of Fractional Differential Equations, Volume 204 (North-Holland Mathematics Studies)
Robust controllability of interval fractional order linear time invariant systems
Signal Processing - Fractional calculus applications in signals and systems
Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering
Functional Fractional Calculus for System Identification and Controls
Functional Fractional Calculus for System Identification and Controls
Computers & Mathematics with Applications
On fractional impulsive equations of Sobolev type with nonlocal condition in Banach spaces
Computers & Mathematics with Applications
Correspondence item: Relative controllability of nonlinear systems with delays in control
Automatica (Journal of IFAC)
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This paper is concerned with the global relative controllability of fractional dynamical systems with multiple delays in control for finite dimensional spaces. Sufficient conditions for controllability results are obtained using Schauder's fixed point theorem and the controllability Grammian matrix which is defined by the Mittag-Leffler matrix function. An example is provided to illustrate the theory.