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Mathematical Theories and Applications for Nonlinear Control Systems

Xue-Jun Xie, Ju H. Park, Hiroaki Mukaidani, Weihai Zhang
2019 Mathematical Problems in Engineering  
Liu et al. focuses on the problem of global output feedback stabilization for a class of nonlinear cascade systems with time-varying output function.  ...  of nonlinear systems with a time-varying power and unknown output function.  ...  Acknowledgments The guest editorial team would like to express gratitude to all the authors for their interest in selecting this special issue as a venue for disseminating their scholarly work.  ... 
doi:10.1155/2019/2065786 fatcat:qx66v5pu3fgo7ee4rt7rn6rcj4

New advances inH∞control and filtering for nonlinear systems

Michael Basin, Peng Shi
2011 International Journal of Systems Science  
This paper presents the central finite-dimensional H ∞ controller for linear time-varying systems with unknown parameters, that is suboptimal for a given threshold γ with respect to a modified Bolza-Meyer  ...  substantiation of nonlinear H ∞ approach to technical design of advanced H ∞ algorithms for special classes of nonlinear systems.  ...  Usai, studies a class of nonlinear switched systems and proposes a finite-time converging state observer.  ... 
doi:10.1080/00207721.2011.546989 fatcat:zcf2rp6bsjfutik2exll27ive4

A Novel Continuous Finite-Time Extended State Observer Design for a Class of Uncertain Nonlinear Systems

Hamid Razmjooei, Mohammad Hossein Shafiei, Elahe Abdi
2020 IEEE Access  
Based on this theorem, the time-varying gains are designed, with the estimation errors approaching zero in finite time.  ...  To investigate the finite-time stability of the error dynamics (10), the time-varying gains are designed such that the observation errors approach to a small neighborhood around zero as tends to a finite  ...  system based on the self-stable region (SSR) approach [32] .  ... 
doi:10.1109/access.2020.3043725 fatcat:eafceyl2dzdcncjdvtsw5c545m

Stochastic Systems 2013

Weihai Zhang, Xuejun Xie, Suiyang Khoo, Guangchen Wang, Wuquan Li
2013 Mathematical Problems in Engineering  
, (iv) stochastic differential game, (v) small-gain approach to control of stochastic nonlinear systems, (vi) nonlinear risk measure including g-expectation, (vii) applications of stochastic-control theory  ...  By constructing a novel piecewise Lyapunov-Krasovskii functional candidate, discrete-time stochastic exponential stability is studied in "Exponential stability results of discrete-time stochastic neural  ...  Acknowledgments This special issue represents an exciting and insightful snapshot of the current stochastic system research.  ... 
doi:10.1155/2013/924065 fatcat:al5bvines5cpxeicmjooegirxe

Switched Dynamics with Its Applications

Chang-Hua Lien, Lixian Zhang, Sundarapandian Vaidyanathan, Hamid Reza Karimi
2014 Abstract and Applied Analysis  
The hard work of all reviewers on these papers is also very greatly acknowledged. Chang-Hua Lien Lixian Zhang Sundarapandian Vaidyanathan Hamid Reza Karimi  ...  Based on this, sufficient conditions are derived in terms of linear matrix inequalities to guarantee stochastic finite-time stability and stochastic finite-time stabilization of the closed-loop system.  ...  "Neural network based finite-time stabilization for discretetime Markov jump nonlinear systems with time delays" by F.  ... 
doi:10.1155/2014/528532 fatcat:44ulyqk4fzbvje7i52qmi3u3mm

Finite-Time Stability of Large-Scale Systems with Interval Time-Varying Delay in Interconnection

T. La-inchua, P. Niamsup, Xinzhi Liu
2017 Complexity  
We investigate finite-time stability of a class of nonlinear large-scale systems with interval time-varying delays in interconnection.  ...  Based on Lyapunov stability theory and new integral bounding technique, finite-time stability of large-scale systems with interval time-varying delays in interconnection is derived.  ...  La-inchua is supported by Thai Government Scholarships in the Area of Science and Technology (Ministry of Science and Technology). P.  ... 
doi:10.1155/2017/1972748 fatcat:thd4u4ey2bdhhi5amrwnkugrcq

Finite-time stabilization for fractional-order inertial neural networks with time varying delays

Chaouki Aouiti, Jinde Cao, Hediene Jallouli, Chuangxia Huang
2022 Nonlinear Analysis: Modelling and Control  
are established to attain the finite-time stabilization of the addressed system.  ...  This paper deals with the finite-time stabilization of fractional-order inertial neural network with varying time-delays (FOINNs).  ...  Based on a novel nonlinear feedback controller, finitetime stability theory and some inequality, we established a new criterion of finite-time stabilization of.  ... 
doi:10.15388/namc.2022.27.25184 fatcat:kpxzemkn25f4zcqe5lrcqc67fu

Scanning The Issue

2014 IEEE Transactions on Automatic Control  
Lung This paper derives an explicit characterization of the stability region of stationary Multi-Queue Multi-Server (MQMS) queueing system by means of a finite set of linear inequalities.  ...  Reachability Analysis Of Nonlinear Differential-Algebraic Systems M. Althoff and B.H.  ... 
doi:10.1109/tac.2014.2298118 fatcat:4uh5u3p66rewphv7zzdf3s6yua

Nonlinear Controller Design with Prediction Horizon Time Reduction Applied to Unstable CSTR System [article]

Chinmay Rajhans, Sowmya Gupta
2021 arXiv   pre-print
Ensuring nominal asymptotic stability of the Nonlinear Model Predictive Control controller is not trivial.  ...  As a result, there is significant reduction in the prediction and control horizon time.  ...  The approach by Chen and Allgöwer 17 is based on linear controller designed at the origin and is applicable to any continuous time nonlinear system governed by Ordinary Differential Equations (ODEs).  ... 
arXiv:2108.00689v1 fatcat:5xjpsejumjhbpmdug77v2xovum

Mathematical Control of Complex Systems

Zidong Wang, Hamid Reza Karimi, Bo Shen, Jun Hu
2013 Mathematical Problems in Engineering  
A key feature of such systems is that the nonlinear interactions among its components can lead to interesting emergent behavior.  ...  These complex systems problems tend to share a number of interesting properties from a mathematical viewpoint.  ...  Acknowledgments This special issue is a timely reflection of the research progress in the area of mathematical control of complex systems.  ... 
doi:10.1155/2013/407584 fatcat:yeijua6xwve45h63ajsmehxqmm

2018 Index IEEE Transactions on Automatic Control Vol. 63

2018 IEEE Transactions on Automatic Control  
., +, TAC May 2018 1487-1494 Stability Analysis of Nonlinear Time-Delay Systems Using a Novel Piece- wise Positive Systems Method.  ...  ., +, TAC March 2018 643-656 Stability of Linear Systems With Time-Varying Delays Using Bessel-Legendre Inequalities.  ...  Redundant manipulators On  ... 
doi:10.1109/tac.2019.2896796 fatcat:bwmqasulnzbwhin5hv4547ypfe

Page 2396 of Mathematical Reviews Vol. , Issue 2004c [page]

2004 Mathematical Reviews  
The authors propose a novel numerical scheme for solving shallow water equations (first order in time and first order in space system of nonlinear PDEs).  ...  A new numerical approach simulates the nonlinear Schrédinger equation with varying coefficients, based upon the discovery of a new conservation law.  ... 

2015 Index IEEE Transactions on Automatic Control Vol. 60

2015 IEEE Transactions on Automatic Control  
., TAC Feb. 2015 540-546 Stability of Discrete-Time Systems With Time-Varying Delays via a Novel Summation Inequality.  ...  ., +, TAC May 2015 1374- 1379 Stability of Discrete-Time Systems With Time-Varying Delays via a Novel Summation Inequality.  ...  Quality of experience  ... 
doi:10.1109/tac.2015.2512305 fatcat:5gut6qeomfh73fwfvehzujbr5q

Finite-time Stability, Dissipativity and Passivity Analysis of Discrete-time Neural Networks Time-varying Delays

Porpattama Hammachukiattikul
2019 Emerging Science Journal  
on finite-time stability, dissipativity, and passivity of the discrete-time neural networks with time-varying delays for improving.  ...  Finally, we present the effectiveness of novel criteria of finite-time stability, dissipativity, and passivity condition of discrete-time neural networks with time-varying delays in the form of linear  ...  Θ < 0, 20 ≥ 0. (20) Summing up the above analysis, some sufficient conditions on finite-time stability for dissipativity and passivity analysis of discrete-time neural networks with time-varying delays  ... 
doi:10.28991/esj-2019-01198 fatcat:2l7svo6wdng23momwizvldm3x4

A new LMI-based robust finite-time sliding mode control strategy for a class of uncertain nonlinear systems

Saleh Mobayen, Fairouz Tchier
2016 Kybernetika (Praha)  
Institute of Mathematics of the Czech Academy of Sciences provides access to digitized documents strictly for personal use. Each copy of any part of this document must contain these Terms of use.  ...  ACKNOWLEDGEMENT This research project was supported by a grant from the "Research Center of the Center for Female Scientific and Medical Colleges", Deanship of Scientific Research, King Saud University  ...  Various control techniques have been suggested to stabilize this class of dynamical systems via several discontinuous controllers based on hybrid control, sliding mode control (SMC), and some time-varying  ... 
doi:10.14736/kyb-2015-6-1035 fatcat:rpxv25rssfc4xofyfocwvxqlau
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