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Analysis of Fractional Dynamic Systems
2014
The Scientific World Journal
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Based on the asymptotic stability theory of nonlinear distributed order fractional systems, the stability of distributed order fractional Chen system is discussed. ...
Sweilam et al. develops two different approaches based on the spectral method for some types of fractional optimal control problems. ...
Based on the asymptotic stability theory of nonlinear distributed order fractional systems, the stability of distributed order fractional Chen system is discussed. ...
doi:10.1155/2014/760634
pmid:24892087
pmcid:PMC4032648
fatcat:cvsc2lulzjarfgcfvjd7vyphmq
Local Stabilization of Delayed Fractional-Order Neural Networks Subject to Actuator Saturation
2022
Fractal and Fractional
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Then, based on the fractional-order Lyapunov method and the estimation technique of the Mittag–Leffler function, an LMIs-based criterion is derived to guarantee the local stability of closed-loop delayed ...
This paper investigates the local stabilization problem of delayed fractional-order neural networks (FNNs) under the influence of actuator saturation. ...
Conflicts of Interest: The authors declare no conflict of interest. ...
doi:10.3390/fractalfract6080451
fatcat:rqay7raom5gdxlxs32xlufpiru
Time-Delay Systems and Their Applications in Engineering 2014
2015
Mathematical Problems in Engineering
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concerns the asymptotic tracking control for a class of nonlinear systems with unknown failures of hysteretic actuators; two papers cover the optimal control problem of the nonlinear systems with time ...
delay and the calculus variations with time delays; four papers focus on the robust H ∞ or sliding model control schemes of time-delayed dynamic systems; one paper proposes a novel fractional-order PID ...
Acknowledgments We would like to express our great appreciation to the authors for their remarkable contributions in assisting us. ...
doi:10.1155/2015/246351
fatcat:2mlcr3wtgvfyrd3422anrbxt5q
Mathematical Theories and Applications for Nonlinear Control Systems
2019
Mathematical Problems in Engineering
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By using the double-domination approach, an output feedback controller is developed to guarantee the global asymptotic stability of the closed-loop system. ...
Bota et al. presents an approach for computing an optimal control law based on the Polynomial Least Squares Method (PLSM). ...
The editors also wish to thank the anonymous reviewers for their careful reading of the manuscripts submitted to this special issue collection and their many insightful comments and suggestions. ...
doi:10.1155/2019/2065786
fatcat:qx66v5pu3fgo7ee4rt7rn6rcj4
Optimal Fault-Tolerant Control against Descriptor Time-Varying Systems with Nonlinear Input
2018
Mathematical Problems in Engineering
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The problem of optimal fault-tolerant control for a class of descriptor time-varying systems with nonlinear input is considered. ...
Based on the Lyapunov stability theorem, the sufficient conditions of the stability are obtained when the system is normal and ineffective. ...
Acknowledgments This work was supported by National Natural Science Foundation of China (61074005) and the Talent Project of the High Education of Liaoning Province (LR2012005). ...
doi:10.1155/2018/4631371
fatcat:lyqeuppn7ndezpirn7xgb3nyai
Dynamic robust stabilization of fractional-order linear systems with nonlinear uncertain parameters: An LMI approach
[article]
2021
arXiv
pre-print
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A dynamic output feedback controller, with predetermined order, for asymptotically stabilizing such uncertain fractional-order systems is designed. ...
This paper considers the problem of robust stability and stabilization for linear fractional-order system with nonlinear uncertain parameters, with fractional order 0<a<2. ...
On the other hand, most of nonlinear fractional-order systems can be linearized in practical applications for stability analysis and control purposes. ...
arXiv:1902.01238v2
fatcat:ldz2vmyd5rf7dmwaoc5ar2eeje
Adaptive Inverse Optimal Control of a Novel Fractional-Order Four-Wing Hyperchaotic System with Uncertain Parameter and Circuitry Implementation
2015
Mathematical Problems in Engineering
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An efficient approach of inverse optimal control and adaptive control is developed for global asymptotic stabilization of a novel fractional-order four-wing hyperchaotic system with uncertain parameter ...
Based on the inverse optimal control methodology and fractional-order stability theory, a control Lyapunov function (CLF) is constructed and an adaptive state feedback controller is designed to achieve ...
Conflict of Interests The authors declare that there is no conflict of interests regarding the publication of this paper. ...
doi:10.1155/2015/741307
fatcat:xqe3kzdv3jgv3lsxhach5lr5nm
Theoretical and Applied Contributions to Robust Stability Analysis of Complex Systems
2020
Complexity
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others to obtain a better understanding of the system. is allows us to understand the nature of the dynamics of the system and propose a new controller or improve control designs, optimizing or increasing ...
In the study of the dynamics of a complex system, stability is one of the more interesting aspects since a stability analysis provides the principles and methods useful for engineers, mathematicians, and ...
Acknowledgments e guest editors would like to thank the authors of all the papers submitted to their interest in this Special Issue and express their enormous thankfulness to the reviewers for their valuable ...
doi:10.1155/2020/7083781
fatcat:cfa6rdzr5jh6bo6hloznljfwqq
Controlling and Synchronizing of Fractional- Order Chaotic Systems via Simple and Optimal Fractional-Order Feedback Controller
2016
International Journal of Intelligent Systems and Applications
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and stability criterion in control and synchronization of a class of fractional-order chaotic systems. ...
In this paper, a simp le and optimal fo rm of fractional-order feedback approach assigned for the control and synchronization of a class of fract ional-order chaotic systems is proposed. ...
MULTIOBJECTIVE OPTIMIZATION OF T HE SOF-FOF CONTROL LAW To design an optimal controller, an efficient optimisation technique should be used. ...
doi:10.5815/ijisa.2016.06.07
fatcat:s2j5qa6qgnc6tcwaekabx24fmy
Page 5418 of Mathematical Reviews Vol. , Issue 82m
[page]
1982
Mathematical Reviews
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The practicality of the control schemes is demonstrated on the problem of controlling the neutron level in a fission reactor.”
82m:93073
5418
Smith, M. C. ...
Author’s summary: “The input/output approach to the stability analysis of nonlinear time-varying feedback systems is used to define general measures of relative stability which, when interpreted for various ...
Complex Boundary Value Problems of Nonlinear Differential Equations 2014
2014
Abstract and Applied Analysis
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In the paper titled "Exponential stabilization of impulsive switched systems with time delays using guaranteed cost control, " the authors investigate the stabilization problem for impulsive switched systems ...
In the paper titled "Stability of a class of coupled systems, " the author deals with a class of coupled systems with damping terms by using multiplier method and the estimation techniques of the energy ...
Some results on the existence of an optimal control and its stability are established. In addition, related examples are given for illustrations. ...
doi:10.1155/2014/496350
fatcat:vohr34wmsndohhpsun74csnarm
Review on Application of Control Algorithms to Power Regulations of Reactor Cores
2016
ITM Web of Conferences
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One stability theorem is deduced to define the nonlinear core is globally asymptotically stable in the global range of power level. ...
On the basis of modeling a nonlinear pressurized water reactor core using the lumped parameter method, its linearized model is achieved via the small perturbation linearization way. ...
[33] to devise a reactor core power control system, and stability analysis of this control system was also accomplished using the Lyapunov theory. Reddy et al. ...
doi:10.1051/itmconf/20160705002
fatcat:fsp7gsfatrajxjg7xudnrzs3vi
List of contents
2001
Computers and Mathematics with Applications
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an Optimal Control Problem for a
Catalytic Converter Function
Uniform Asymptotic Stability of Impulsive Delay
Differential Equations
Fixed-Point Theory for Set Valued Mappings between
Topological ...
Obtaining Positive Solutions for Nonlinear Boundary Value Problems Stability of Elliptic Optimal Control Problems 1257 Multiset and Set Decipherable Codes 1263 The Ill-Conditioning of Infinite Element ...
doi:10.1016/s0898-1221(01)80025-0
fatcat:w4i65gljwnfbhlllvdculnmsza
An Optimized Triggering Algorithm for Event-Triggered Control of Networked Control Systems
2021
Mathematics
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Additionally, the effect of ETC on the stability of backstepping control has been analyzed using the Lyapunov stability theory. ...
This paper presents an optimized algorithm for event-triggered control (ETC) of networked control systems (NCS). ...
Conflicts of Interest: The authors declare no conflict of interest. ...
doi:10.3390/math9111262
fatcat:5mntt5juvfg3lotunhxypffq6q
Page 6116 of Mathematical Reviews Vol. , Issue 90J
[page]
1990
Mathematical Reviews
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90}:93082
“Based on the asymptotic approach, we construct an approximate control and give a justification of the scheme for approximate solutions of the problem. ...
Using it, the main re- sult on L» stability is derived, according to which the system is L> stable if the eigenvalues of the coefficient matrices are related in a simple way. ...
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