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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 …
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
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 …
fractional order systems with the fractional commensurate order α belonging to (0, 2). Firstly …
A note on short memory principle of fractional calculus
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 …
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
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 …
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
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 …
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 …
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
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 …
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 …
(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
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 …
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
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 …
sensitive to some inevitable uncertainties and unmeasurable disturbance. Aiming at this …