Regional controllability analysis of fractional diffusion equations with Riemann-Liouville time fractional derivatives

DOI10.1016/j.automatica.2016.10.018zbMath1352.93022arXiv1608.02377OpenAlexW2591593634MaRDI QIDQ503164

Chunhai Kou, Fu-Dong Ge, Yang Quan Chen

Publication date: 11 January 2017

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.02377

zbMATH Keywords

strategic actuatorsminimum energy controlregional controllabilitytime fractional diffusion systems

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by ordinary differential equations (93C15) Fractional ordinary differential equations (34A08)

Related Items (7)

Regional gradient controllability of ultra-slow diffusions involving the Hadamard-Caputo time fractional derivative ⋮ Optimal regional control for a class of semilinear time-fractional diffusion systems with distributed feedback ⋮ Boundary controllability of Riemann-Liouville fractional semilinear equations ⋮ Cauchy problems of nonlinear nonautonomous fractional evolution equations ⋮ Improvement on conformable fractional derivative and its applications in fractional differential equations ⋮ Event-triggered boundary feedback control for networked reaction-subdiffusion processes with input uncertainties ⋮ Robust passivity and feedback passification of a class of uncertain fractional-order linear systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Regional gradient controllability of sub-diffusion processes
• Adaptive control for continuous-time systems with actuator and sensor hysteresis
• Laplace transform for solving some families of fractional differential equations and its applications
• Random Walks on Lattices. II
• Approximate controllability for fractional diffusion equations by interior control
• Unbounded Control and Observation Systems and Their Duality
• Controllability for Partial Differential Equations of Parabolic Type
• Regional controllability of distributed parameter systems
• ANOMALOUS KINETICS OF CHARGE CARRIERS IN DISORDERED SOLIDS: FRACTIONAL DERIVATIVE APPROACH
• Special Functions for Applied Scientists
• Sub-diffusion equations of fractional order and their fundamental solutions
• Mittag-Leffler Functions, Related Topics and Applications
• Fractional diffusion: probability distributions and random walk models
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

This page was built for publication: Regional controllability analysis of fractional diffusion equations with Riemann-Liouville time fractional derivatives