Observer-based output feedback control design for a fractional ODE and a fractional PDE cascaded system

An efficient computational scheme for nonlinear time fractional systems of partial differential equations arising in physical sciences

(2020) Ved Prakash Dubey et al.   Advances in Difference Equations

Adaptive Output-Feedback Stabilization for PDE-ODE Cascaded Systems with Unknown Control Coefficient and Spatially Varying Parameter

(2020) Xia Li et al.   Journal of Systems Science & Complexity

Stabilization of an ODE-PDE cascaded system by boundary control

(2020) Yuan Lei et al.   JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS

Observer-based stabilizing control for fractional-order systems with input delay

(2019) Wen-Tao Geng et al.   ISA TRANSACTIONS

Practical tracking control of linear motor via fractional-order sliding mode

(2018) Guanghui Sun et al.   AUTOMATICA

Observer-based output feedback control for a boundary controlled fractional reaction diffusion system with spatially-varying diffusivity

(2018) Juan Chen et al.   IET Control Theory and Applications

Backstepping-based boundary control design for a fractional reaction diffusion system with a space-dependent diffusion coefficient

(2018) Juan Chen et al.   ISA TRANSACTIONS

Boundary Feedback Stabilization for an Unstable Time Fractional Reaction Diffusion Equation

(2018) Hua-Cheng Zhou et al.   SIAM JOURNAL ON CONTROL AND OPTIMIZATION

Adaptive sliding mode fault-tolerant control for type-2 fuzzy systems with distributed delays

(2018) Yue Zhao et al.   INFORMATION SCIENCES

Backstepping-based boundary feedback control for a fractional reaction diffusion system with mixed or Robin boundary conditions

(2017) Juan Chen et al.   IET Control Theory and Applications

Observer-based adaptive backstepping control for fractional order systems with input saturation

(2017) Dian Sheng et al.   ISA TRANSACTIONS

Stabilization of Coupled ODE-PDE System with Intermediate Point and Spatially Varying Effects Interconnection

(2016) Yuanlong Yuan et al.   ASIAN JOURNAL OF CONTROL

Boundary feedback stabilisation for the time fractional-order anomalous diffusion system

(2016) Fudong Ge et al.   IET Control Theory and Applications

Stability and stabilization of a class of fractional-order nonlinear systems for $$\varvec{0

(2016) Sunhua Huang et al.   NONLINEAR DYNAMICS

Numerical Solution to the Space-Time Fractional Diffusion Equation and Inversion for the Space-Dependent Diffusion Coefficient

(2016) Guangsheng Chi et al.   Journal of Computational and Theoretical Transport

A Novel Boundary Control Solution for Unstable Heat Conduction Systems Based on Active Disturbance Rejection Control

(2015) Dong Zhao et al.   ASIAN JOURNAL OF CONTROL

Stabilization of a second order ODE–heat system coupling at intermediate point

(2015) Zhongcheng Zhou et al.   AUTOMATICA

Boundary control of coupled reaction–diffusion processes with constant parameters

(2015) Antonello Baccoli et al.   AUTOMATICA

Non-linear Mittag–Leffler stabilisation of commensurate fractional-order non-linear systems

(2015) Dongsheng Ding et al.   IET Control Theory and Applications

Compact exponential scheme for the time fractional convection–diffusion reaction equation with variable coefficients

(2015) Mingrong Cui   JOURNAL OF COMPUTATIONAL PHYSICS

Adaptive fractional-order switching-type control method design for 3D fractional-order nonlinear systems

(2015) Chun Yin et al.   NONLINEAR DYNAMICS

Lyapunov functions for fractional order systems

(2014) Norelys Aguila-Camacho et al.   Communications in Nonlinear Science and Numerical Simulation

Adaptive stabilization of coupled PDE–ODE systems with multiple uncertainties

(2014) Jian Li et al.   ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS

Adaptive stabilization for ODE systems via boundary measurement of uncertain diffusion-dominated actuator dynamics

(2013) Jian Li et al.   INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL

Active disturbance rejection control for fractional-order system

(2013) Mingda Li et al.   ISA TRANSACTIONS

Stabilization of coupled pde-ode systems with spatially varying coefficient

(2013) Jian Li et al.   Journal of Systems Science & Complexity

Characterization of anomalous diffusion in porous biological tissues using fractional order derivatives and entropy

(2013) Richard L. Magin et al.   MICROPOROUS AND MESOPOROUS MATERIALS

Global Mittag-Leffler stability and synchronization of memristor-based fractional-order neural networks

(2013) Jiejie Chen et al.   NEURAL NETWORKS

Stabilization of linear heat equation with a heat source at intermediate point by boundary control

(2012) Zhongcheng Zhou et al.   AUTOMATICA

Observation of Anomalous Diffusion and Fractional Self-Similarity in One Dimension

(2012) Yoav Sagi et al.   PHYSICAL REVIEW LETTERS

Stabilization for a coupled PDE–ODE control system

(2011) Shuxia Tang et al.   JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS

State and output feedback boundary control for a coupled PDE–ODE system

(2011) Shuxia Tang et al.   SYSTEMS & CONTROL LETTERS

Tracking control for boundary controlled parabolic PDEs with varying parameters: Combining backstepping and differential flatness

(2009) Thomas Meurer et al.   AUTOMATICA

Mittag–Leffler stability of fractional order nonlinear dynamic systems

(2009) Yan Li et al.   AUTOMATICA

Control of PDE–ODE cascades with Neumann interconnections

(2009) Gian Antonio Susto et al.   JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS

Compensating actuator and sensor dynamics governed by diffusion PDEs

(2009) Miroslav Krstic   SYSTEMS & CONTROL LETTERS

Implicit finite difference approximation for time fractional diffusion equations

(2008) Diego A. Murio   COMPUTERS & MATHEMATICS WITH APPLICATIONS