Auxiliary function-based integral/summation inequalities: application to continuous/discrete time-delay systems

PG Park, WI Lee, SY Lee - International Journal of Control, Automation and …, 2016 - Springer
In the field of stability analysis for time-delay systems, finding precise bounds of
integral/summation forms of quadratic functions plays a key role in reducing the …

Synchronization for fractional order chaotic systems with uncertain parameters

Q Wang, DL Qi - International Journal of Control, Automation and …, 2016 - Springer
This paper deals with the synchronization of fractional order chaotic systems with uncertain
parameters. An adaptive control law consisting of fractional order feedback and sliding …

Stability of a class of nonlinear fractional order impulsive switched systems

G Chen, Y Yang - … of the Institute of Measurement and …, 2017 - journals.sagepub.com
This paper considers the asymptotic stability of a class of nonlinear fractional order
impulsive switched systems by extending the result of existing work. First, a criterion is given …

A practical method for stability analysis of linear fractional-order systems with distributed delay

MA Pakzad - International Journal of Control, Automation and …, 2022 - Springer
In this paper, an effective method using the cluster treatment of characteristic roots (CTCR)
technique is investigated for the stability analysis of a general class of fractional order …

Event-triggered iterative learning control for perfect consensus tracking of non-identical fractional order multi-agent systems

L Wang, G Zhang - International Journal of Control, Automation and …, 2021 - Springer
This paper is devoted to the perfect tracking problem of output consensus for a class of non-
identical fractional order multi-agent systems (NIFOMASs), in which different agents have …

Probabilistic robust stabilization of fractional order systems with interval uncertainty

BB Alagoz, C Yeroglu, B Senol, A Ates - ISA transactions, 2015 - Elsevier
This study investigates effects of fractional order perturbation on the robust stability of linear
time invariant systems with interval uncertainty. For this propose, a probabilistic stability …

Stability map of multiple time delayed fractional order systems

MA Pakzad, MA Nekoui - International Journal of Control, Automation and …, 2014 - Springer
In this paper, a novel method is presented to study the stability map of linear fractional order
systems with multiple delays against uncertainties in delays. It is evident from the literature …

Fractional order IMC controller design for two-input-two-output fractional order system

D Li, X He, T Song, Q Jin - International Journal of Control, Automation and …, 2019 - Springer
Research on the fractional order system is becoming more and more popular. Most of the
fractional order controller design methods focus on single-input-single-output processes. In …

Exact method for the stability analysis of time delayed linear‐time invariant fractional‐order systems

MA Pakzad, S Pakzad… - IET Control Theory & …, 2015 - Wiley Online Library
In this study, a practical analytical procedure is introduced for determining the stability
robustness map of a general class of linear‐time invariant fractional‐order systems with …

LMI-based synchronization conditions to RL fractional time-varying delayed neural networks with parametric uncertainty

H Zhang, H Zhang, W Zhang, J Cao - Neural Processing Letters, 2023 - Springer
The synchronization conditions to Riemann-Liouville fractional time-varying delayed neural
networks with parametric uncertainty are investigated in this article. A novel Lyapunov …