Controllability of fractional dynamical systems: a functional analytic approach

DOI10.3934/mcrf.2017020zbMath1373.93064OpenAlexW2756041553MaRDI QIDQ2411027

Raju K. George, V. Govindaraj

Publication date: 20 October 2017

Published in: Mathematical Control and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mcrf.2017020

zbMATH Keywords

controllabilitymonotone operatorfractional differential equations

Mathematics Subject Classification ID

Controllability (93B05) Monotone operators and generalizations (47H05) Fractional ordinary differential equations (34A08)

Related Items

Regional gradient controllability of ultra-slow diffusions involving the Hadamard-Caputo time fractional derivative ⋮ Controllability and observability of linear time-varying fractional systems ⋮ Operator theoretic approach in fractional‐order delay optimal control problems ⋮ Analysis of a coupled system of \(\psi\)-Caputo fractional derivatives with multipoint-multistrip integral type boundary conditions ⋮ Reachability of fractional dynamical systems using ψ-Hilfer pseudo-fractional derivative ⋮ Controllability of nonlinear fractional Langevin delay systems ⋮ Controllability of Hilfer fractional Langevin dynamical system with impulse in an abstract weighted space ⋮ Controllability of fractional linear systems with delays in control

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Controllability of fractional damped dynamical systems
• Controllability of nonlinear higher order fractional dynamical systems
• Relative controllability of fractional dynamical systems with multiple delays in control
• Controllability of nonlinear fractional dynamical systems
• Selected problems of fractional systems theory.
• Modified optimal energy and initial memory of fractional continuous-time linear systems
• Fractional-order systems and controls. Fundamentals and applications
• Robust controllability of interval fractional order linear time invariant systems
• Controllability of nonlinear systems via fixed-point theorems
• Controllability results for nonlinear fractional-order dynamical systems
• Minimal modified energy control for fractional linear control systems with the Caputo derivative
• On the Appearance of the Fractional Derivative in the Behavior of Real Materials
• New Results on the Controllability and Observability of Fractional Dynamical Systems
• Controllability and Observability of Linear Discrete-Time Fractional-Order Systems
• On the existence of optimal controls in Banach spaces
• Stochastic global stability of a random feed-back system
• Numerical controllability of fractional dynamical systems
• On Nonlinear Equations of Hammerstein Type in Banach Spaces
• Controllability of nonlinear systems