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A Review on Analysis and Synthesis of Nonlinear Stochastic Systems with Randomly Occurring Incomplete Information

Hongli Dong, Zidong Wang, Xuemin Chen, Huijun Gao
2012 Mathematical Problems in Engineering  
In this paper, we aim to survey some recent advances on the analysis and synthesis problems for nonlinear stochastic systems with randomly occurring incomplete information.  ...  Examples include, but are not limited to, randomly occurring uncertainties, randomly occurring nonlinearities, randomly occurring saturation, randomly missing measurements and randomly occurring quantization  ...  In 57, 100 , the filtering and fault detection problems have been investigated for discrete-time Markovian jump systems with randomly varying nonlinearities RVNs and sensor saturation.  ... 
doi:10.1155/2012/416358 fatcat:kv7yj7ejfnhkvaz4jvfhm4lfaa

Stochastic Systems: Modeling, Optimization, and Applications

Shuping He, Ju H. Park, Hao Shen, Zhengguang Wu, Hongsheng Dai
2014 Mathematical Problems in Engineering  
One paper focuses on fault diagnosis and fault tolerant control for non-Gaussian singular time-delayed stochastic  ...  , signal processing, robust filtering, sliding mode control, multiagent systems, nonlinear systems, time-delayed systems, neural networks, T-S fuzzy systems, simulated annealing, and fault diagnosis methods  ...  Acknowledgments We would like to express our great appreciation to all the authors of this special issue for their high quality contributions.  ... 
doi:10.1155/2014/713969 fatcat:5r3xcqxccjeoln5c6tafplu63m

On general systems with randomly occurring incomplete information

Zidong Wang, Jun Hu, Hongli Dong
2016 International Journal of General Systems  
., the co-design problem of filter and fault estimator is investigated for a class of time-varying nonlinear stochastic systems with randomly occurring nonlinearities and randomly occurring deception attacks  ...  In the paper entitled "Recursive State Estimation for Discrete Time-varying Stochastic Nonlinear Systems with Randomly Occurring Deception Attacks" by D.  ... 
doi:10.1080/03081079.2015.1106734 fatcat:3uvg6qgeu5bipn7cbon3lfovyy

IEEE Access Special Section: Analysis and Synthesis of Time-Delay System

Zhiguang Feng, Zhengguang Wu, Baoyong Zhang, Kun Liu, Myeongjin Park, Le Van Hien, Xiangyu Meng, Christophe Fiter
2020 IEEE Access  
The article ''Fault detection for Markovian jump systems with partially available and unmatched modes,'' by Wang and Yin, is concerned with the fault detection problem for a class of continuous-time Markovian  ...  Three articles investigate the exponential stability of nonlinear systems and fault detection for Markovian jump systems, respectively.  ... 
doi:10.1109/access.2020.3035460 fatcat:diqvnek5dncgppwbclc7r76qqy

A Survey on Gain-Scheduled Control and Filtering for Parameter-Varying Systems

Guoliang Wei, Zidong Wang, Wangyan Li, Lifeng Ma
2014 Discrete Dynamics in Nature and Society  
In particular, in view of the randomly occurring phenomena with time-varying probability distributions, some results of our recent work based on the probability-dependent gain-scheduling methods are reviewed  ...  Secondly, various important parameter-varying system models are reviewed, for which gain-scheduled control and filtering issues are usually dealt with.  ...  Recently, the problems of stability and stabilization for uncertain Markovian jump systems with time delays have been extensively investigated; see [92] [93] [94] [95] and references therein.  ... 
doi:10.1155/2014/105815 fatcat:dwfammq5wrhk3lcmgbvqfqs2cq

Mathematical Control of Complex Systems 2013

Zidong Wang, Hamid Reza Karimi, Bo Shen, Jun Hu, Hongli Dong, Xiao He
2014 Mathematical Problems in Engineering  
Topics include, but are not limited to the following: control systems theory (behavioural systems, networked control systems, delay systems, distributed systems, infinite-dimensional systems, and positive  ...  This special issue aims to bring together the latest/innovative knowledge and advances in mathematics for handling complex systems.  ...  We would like to acknowledge all authors for their efforts in submitting high-quality papers. We are also very grateful to the reviewers for their thorough and on time reviews of the papers.  ... 
doi:10.1155/2014/825210 fatcat:g7g4d2pozjdclkphkv3547sss4

Finite-Time Fault Detection for Large-Scale Networked Systems with Randomly Occurring Nonlinearity and Fault

Yong Zhang, Huajing Fang, Zhenxing Liu
2014 Mathematical Problems in Engineering  
The finite-time fault detection problem is investigated for a class of nonlinear quantized large-scale networked systems with randomly occurring nonlinearities and faults.  ...  A nonlinear Markovian jump system model with partially unknown transition probabilities is employed to describe this Makov data assignment pattern.  ...  Acknowledgments The authors would like to thank the editor and the reviewers for their helpful suggestions to improve the quality of this correspondence.  ... 
doi:10.1155/2014/513765 fatcat:vb4uvjya7rcbxje53vrascblwy

Improved Reduced-Order Fault Detection Filter Design for Polytopic Uncertain Discrete-Time Markovian Jump Systems with Time-Varying Delays

Lihong Rong, Xiuyan Peng, Liangliang Liu, Biao Zhang
2018 Complexity  
The fault detection (FD) reduced-order filtering problem is investigated for a family of polytopic uncertain discrete-time Markovian jump linear systems (MJLSs) with time-varying delays.  ...  Then, by the aid of the Markovian Lyapunov function and convex polyhedron techniques, some novel time-varying delays and polytopic uncertain sufficient conditions in terms of linear matrix inequality (  ...  Acknowledgments This work was supported by the National Natural Science Foundation of China (61503091) and the Education Science Planning Key Project of Heilongjiang Province (GJB1316017).  ... 
doi:10.1155/2018/9489620 fatcat:hkxltswizndc3l3hamw3ae6efa

A survey on Markovian jump systems: Modeling and design

Peng Shi, Fanbiao Li
2015 International Journal of Control, Automation and Systems  
Furthermore, the new trends of Markovian jump systems with uncertain transition rates as well as semi-Markovian jump systems are also discussed.  ...  In this paper, a survey on recent developments of modeling, analysis and design of Markovian jump systems is presented. First, stability issues on Markovian jump systems are addressed.  ...  In the mean time, Wu et al. have extended the H ∞ filtering problem to 2-D Markovian jump systems; and the quantized H ∞ filtering for Markovian jump linear parameter varying systems has been studied with  ... 
doi:10.1007/s12555-014-0576-4 fatcat:zyultnaaibdc7n66lgfap7qjcy

Resilient H-infinity filtering for networked nonlinear Markovian jump systems with randomly occurring distributed delay and sensor saturation

Venkatesan Nithya, Rathinasamy Sakthivel, Yong Ren
2021 Nonlinear Analysis: Modelling and Control  
The H∞ filtering problem for a class of networked nonlinear Markovian jump systems subject to randomly occurring distributed delays, nonlinearities, quantization effects, missing measurements and sensor  ...  Sufficient conditions for the existence of desired filter are established with the aid of proper Lyapunov–Krasovskii functional and linear matrix inequality approach together with stochastic analysis theory  ...  However, the resilient H ∞ filtering problem for networked nonlinear systems with Markovian jumps subject to randomly occurring nonlinearities, distributed delay and external disturbances is not fully  ... 
doi:10.15388/namc.2021.26.22355 doaj:958a15aa73ab41818420b848cded3419 fatcat:hshbqijnh5bzfoxgk4u6nkwjbi

Recent Advances on Filtering and Control for Nonlinear Stochastic Complex Systems with Incomplete Information: A Survey

Bo Shen, Zidong Wang, Jinling Liang, Yurong Liu
2012 Mathematical Problems in Engineering  
Some recent advances on the filtering and control problems for nonlinear stochastic complex systems with incomplete information are surveyed.  ...  The incomplete information under consideration mainly includes missing measurements, randomly varying sensor delays, signal quantization, sensor saturations, and signal sampling.  ...  For example, in 89 , the synchronization stability problem has been studied for a class of complex dynamical networks with Markovian jumping parameters and mixed time delays.  ... 
doi:10.1155/2012/530759 fatcat:xw42wa2abzbi5mkrcepzz2d46y

A Reduced-Order Fault Detection Filtering Approach for Continuous-Time Markovian Jump Systems with Polytopic Uncertainties

Lihong Rong, Xiuyan Peng, Biao Zhang
2017 Complexity  
The fault detection (FD) reduced-order filtering problem is investigated for a family of continuous-time Markovian jump linear systems (MJLSs) with polytopic uncertain transition rates, which also include  ...  of linear matrix inequality (LMI), which can ensure the error augmented system with the FD reduced-order filter is randomly stable.  ...  For example, the authors in [2] proposed a control approach for continuous-time Markovian jump systems with time-varying delay and deficient transition descriptions.  ... 
doi:10.1155/2017/4927453 fatcat:rduvsmzayvd6zod235cmpml544

Recent Advances on Recursive Filtering and Sliding Mode Design for Networked Nonlinear Stochastic Systems: A Survey

Jun Hu, Zidong Wang, Hongli Dong, Huijun Gao
2013 Mathematical Problems in Engineering  
In particular, concerning the network-induced phenomena, some recent results on the recursive filtering for time-varying nonlinear stochastic systems and sliding mode design for time-invariant nonlinear  ...  , and randomly occurring uncertainties.  ...  , randomly occurring nonlinearities, time delays, and so forth.  ... 
doi:10.1155/2013/646059 fatcat:4wekdsk5wrf3pls5jey6akqeke

New advances inH∞control and filtering for nonlinear systems

Michael Basin, Peng Shi
2011 International Journal of Systems Science  
The first group, "New Advances in H ∞ Filtering for Nonlinear Systems," opens with the paper "Central suboptimal H ∞ Controller Design for Linear Time-Varying Systems with Unknown Parameters," by M.  ...  The main objective of this Special Issue is to summarize recent advances in H ∞ control and filtering for nonlinear systems, including time-delay, hybrid, and stochastic systems.  ...  The second paper, "Reliable H ∞ Control for Discrete Uncertain Time-Delay Systems with Randomly Occurred Nonlinearities: The Output Feedback Case," by Y. Liu, Z. Wang, and W.  ... 
doi:10.1080/00207721.2011.546989 fatcat:zcf2rp6bsjfutik2exll27ive4

Robust Fast Adaptive Fault Estimation for T-S Fuzzy Markovian Jumping Systems with Mode-Dependent Time-Varying State Delays

Chao Sun, Shengjuan Huang, Libing Wu, Suhuan Yi, Nicolae Herisanu
2021 Mathematical Problems in Engineering  
This paper studies the problem of actuator fault estimation for a class of T-S fuzzy Markovian jumping systems, which is subject to mode-dependent interval time-varying delays and norm-bounded external  ...  With this improved method, the proposed fault estimator minimizes the effect of disturbance on the estimation error and reduces the conservatism of systems stability results simultaneously.  ...  [18] investigate the problem of FE for a class of Markovian jump systems with time-varying delay, but the delay mode is the same as that for jump in other system states.  ... 
doi:10.1155/2021/6646201 fatcat:nq562fxvpbfutj4wmnji7lxeui
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