A Novel Finite Time Stability Analysis of Nonlinear Fractional-Order Time Delay Systems: A Fixed Point Approach

网络化控制系统下具有时变时滞的分数阶T_S模糊系统的量化耗散不确定模型

Quantized Dissipative Uncertain Model for Fractional T_S Fuzzy systems with Time_Varying Delays Under Networked Control System

本文针对事件触发网络化系统中时滞分数阶T_S模糊系统，提出量化耗散不确定模型，结合事件触发与对数量化，利用Lyapunov泛函和线性矩阵不等式给出渐近稳定性条件，并通过卡车-拖车模型验证策略有效性。

First Order Plus Fractional Diffusive Delay Modeling: interconnected discrete systems

This paper presents a novel First Order Plus Fractional Diffusive Delay (FOPFDD) model, capable of modeling delay dominant systems with high accuracy. The novelty of the FOPFDD is the Fractional Diffusive Delay (FDD) term, an exponential delay of non-integer order $α$, i.e. $e^{-(Ls)^α}$ in Laplace domain. The special cases of $α= 0.5$ and $α= 1$ have already been investigated thoroughly. In this work $α$ is generalized to any real number in the interval $]0,1[$. For $α=0.5$, this term appears in the solution of distributed diffusion systems, which will serve as a source of inspiration for thi…

通过自适应延迟反馈控制镇定未知分数阶系统的不稳定周期轨道

Stabilizing unstable periodic orbit of unknown fractional-order systems via adaptive delayed feedback control

针对未知分数阶混沌系统的不稳定周期轨道镇定问题，提出仅需轨道周期的自适应非线性延迟反馈控制方案，兼具鲁棒性，仿真验证其性能优于现有线性反馈控制方法。

异构复合阶多智能体系统带通信时延的协调控制

Coordination Control of Heterogeneous Compounded-Order Multi-Agent Systems with Communication Delays

针对实际环境中多智能体系统的异构动态（整数阶和分数阶）特性，利用拉普拉斯变换和频域理论，研究了带通信时延的有向加权拓扑下多智能体系统的一致性问题。

基于不确定延迟混沌气动机器人的分数 calculus 动态滑模控制

Dynamic Sliding Mode Control based on Fractional calculus subject to uncertain delay based chaotic pneumatic robot

本文针对机器人操作臂中由于延迟引起混沌的滑模控制颤振问题，提出了一种基于分数 calculus 的动态滑模控制方法，通过动态本质消除颤振，并在主从配置的混沌系统中实现控制，利用李雅普诺夫稳定性理论保证闭环系统稳定性，同时对延迟机器人运动进行定性与定量研究。

LMI-based robust stability and stabilization analysis of fractional-order interval systems with time-varying delay

This paper investigates the robust stability and stabilization analysis of interval fractional-order systems with time-varying delay. The stability problem of such systems is solved first, and then using the proposed results a stabilization theorem is also included, where sufficient conditions are obtained for designing a stabilizing controller with a predetermined order, which can be chosen to be as low as possible. Utilizing efficient lemmas, the stability and stabilization theorems are proposed in the form of LMIs, which is more suitable to check due to various existing efficient convex opt…