Adaptive sliding mode consensus control based on neural network for singular fractional order multi-agent systems

X Zhang, S Chen, JX Zhang - Applied Mathematics and Computation, 2022 - Elsevier
In this paper, a suitable state feedback sliding mode controller is designed for the singular
fractional order multi-agent systems (SFOMASs) with uncertainty, in order to realize the …

The output feedback control synthesis for a class of singular fractional order systems

Y Wei, WT Peter, Z Yao, Y Wang - ISA transactions, 2017 - Elsevier
This paper investigates the output feedback normalization and stabilization for singular
fractional order systems with the fractional commensurate order α belonging to (0, 2). Firstly …

A note on short memory principle of fractional calculus

Y Wei, Y Chen, S Cheng, Y Wang - Fractional Calculus and Applied …, 2017 - Springer
In this paper, from the classical short memory principle under Grünwald-Letnikov definition,
several novel short memory principles are presented and investigated. On one hand, the …

A unified framework of stability theorems for LTI fractional order systems with 0< α< 2

X Zhang, C Lin, YQ Chen… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
This brief aims to provide a set of criteria to ensure the stability or stabilization of a class of
fractional order systems (FOS) for a given order α that belongs to the interval (0, 2). These …

Lyapunov functions for nabla discrete fractional order systems

Y Wei, Y Chen, T Liu, Y Wang - ISA transactions, 2019 - Elsevier
This paper focuses on the fractional difference of Lyapunov functions related to Riemann–
Liouville, Caputo and Grünwald–Letnikov definitions. A new way of building Lyapunov …

Asymptotic Stabilization Control of Fractional-Order Memristor-Based Neural Networks System via Combining Vector Lyapunov Function With M-Matrix

Z Zhang, Y Wang, J Zhang, H Zhang… - … on Systems, Man …, 2022 - ieeexplore.ieee.org
This article examines a new measure of combining the vector Lyapunov function with-matrix
for settling the asymptotic stabilization control of fractional-order memristor-based neural …

Asymptotical stability of fractional order systems with time delay via an integral inequality

BB He, HC Zhou, YQ Chen… - IET Control Theory & …, 2018 - Wiley Online Library
In this study, the asymptotical stability for several classes of fractional order differential
systems with time delay is investigated. The authors first present an integral inequality by …

Robust stabilization of descriptor fractional-order interval systems with uncertain derivative matrices

Y Di, JX Zhang, X Zhang - Applied Mathematics and Computation, 2023 - Elsevier
This paper considers the admissibility of descriptor fractional-order interval systems
(DFOISs) with order α belonging to (0, 2). Firstly, the necessary and sufficient conditions of …

Sufficient and necessary conditions for stabilizing singular fractional order systems with partially measurable state

Y Wei, J Wang, T Liu, Y Wang - Journal of the Franklin Institute, 2019 - Elsevier
This paper is concerned with the stabilization problem of singular fractional order systems
with order α∈(0, 2). In addition to the sufficient and necessary condition for observer based …

General robustness analysis and robust fractional‐order PD controller design for fractional‐order plants

L Liu, S Zhang, D Xue, YQ Chen - IET Control Theory & …, 2018 - Wiley Online Library
Most of the existing controller tuning methods are based on accurate system model and
sensitive to some inevitable uncertainties and unmeasurable disturbance. Aiming at this …