{"title":"DELAY-DECOMPOSITION APPROACH FOR THE ROBUST STABILITY OF UNCERTAIN NEUTRAL SYSTEMS WITH DISTRIBUTED DELAYS","authors":"Hui Junjun, Zhang He-xin, M. Fei, Li Guoliang","doi":"10.12341/JSSMS12251","DOIUrl":"https://doi.org/10.12341/JSSMS12251","url":null,"abstract":"","PeriodicalId":265315,"journal":{"name":"Journal of Systems Science and Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2014-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130746147","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Liao Yiwe, Wang Longyu, Yang Feng-mei, Zhou Rong-xi
{"title":"THE ESTIMATOR OF THE VARIANCE OF CONDITIONAL EXPECTATION AND THE CALCULATION OF VALUE AT RISK BASED ON THE TWO- LEVEL ESTED SIMULATION","authors":"Liao Yiwe, Wang Longyu, Yang Feng-mei, Zhou Rong-xi","doi":"10.12341/JSSMS12155","DOIUrl":"https://doi.org/10.12341/JSSMS12155","url":null,"abstract":"","PeriodicalId":265315,"journal":{"name":"Journal of Systems Science and Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2013-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123040852","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"SEVERAL NEW DIRECTIONS IN ANALYSIS AND SYNTHESIS OF COMPLEX CONTROL SYSTEMS","authors":"Hong Yiguang, Xu Xiangru","doi":"10.12341/JSSMS11945","DOIUrl":"https://doi.org/10.12341/JSSMS11945","url":null,"abstract":"","PeriodicalId":265315,"journal":{"name":"Journal of Systems Science and Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2012-10-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123031358","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This paper presents the first-order time-varying difference equation,the characteristic model.Only two parameters are involved in the equation.The adaptive iterative learning control method is suggested to deal with the characteristic-model based control problem, where the learning identification algorithms with a forgetting factor are introduced to estimate the time-varying unknowns.For PMLSM servo-systems,in this paper,an adaptive iterative learning control scheme is proposed based on the LQ optimal control strategy.Numerical and expereiment results are presented to demonstrate effectiveness of the control scheme.
{"title":"THE FIRST-ORDER CHARACTERISTIC MODELS OF DYNAMIC SYSTEMS AND ADAPTIVE ITERATIVE LEARNING CONTROL OF LINEAR SERVO SYSTEMS","authors":"Sun Mingxuan, Li Zhile, YU Linjiang","doi":"10.12341/JSSMS11897","DOIUrl":"https://doi.org/10.12341/JSSMS11897","url":null,"abstract":"This paper presents the first-order time-varying difference equation,the characteristic model.Only two parameters are involved in the equation.The adaptive iterative learning control method is suggested to deal with the characteristic-model based control problem, where the learning identification algorithms with a forgetting factor are introduced to estimate the time-varying unknowns.For PMLSM servo-systems,in this paper,an adaptive iterative learning control scheme is proposed based on the LQ optimal control strategy.Numerical and expereiment results are presented to demonstrate effectiveness of the control scheme.","PeriodicalId":265315,"journal":{"name":"Journal of Systems Science and Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2012-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125913133","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Oscillatory properties of a class of third order half linear neutral differential equations are studied.By using generalized Riccati transformation,Hardy-Littlewood-Polya inequalities and analysis technique,some new sufficient criteria are obtained,which insure that any solution of this equation oscillates or converges to zero.The obtained results generalize and improve some known results in the latest literature.
{"title":"OSCILLATION RESULTS OF THIRD ORDER HALF LINEAR NEUTRAL DIFFERENTIAL EQUATIONS","authors":"Luo Li-ping, Y. Yuanhong","doi":"10.12341/JSSMS11889","DOIUrl":"https://doi.org/10.12341/JSSMS11889","url":null,"abstract":"Oscillatory properties of a class of third order half linear neutral differential equations are studied.By using generalized Riccati transformation,Hardy-Littlewood-Polya inequalities and analysis technique,some new sufficient criteria are obtained,which insure that any solution of this equation oscillates or converges to zero.The obtained results generalize and improve some known results in the latest literature.","PeriodicalId":265315,"journal":{"name":"Journal of Systems Science and Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2012-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114250715","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The paper considers the problem of tracking of periodic signals generated by a nonlinear system for a class of uncertain nonlinear systems.The uncertainty of the system is not parameterizable.An adaptive control law for the tracking is presented.The control law can guarantee that all the signals in the closed loop system are bounded and that the tracking error converges to zero.The tracking control laws in the previous related studies only guarantee that the integral of square of the tracking error over a period converges to zero.
{"title":"Adaptive Tracking Control of Periodic Signals for a Class of Uncertain Nonlinear Systems","authors":"Chen Peng-nian, Qin Huashu","doi":"10.12341/JSSMS08465","DOIUrl":"https://doi.org/10.12341/JSSMS08465","url":null,"abstract":"The paper considers the problem of tracking of periodic signals generated by a nonlinear system for a class of uncertain nonlinear systems.The uncertainty of the system is not parameterizable.An adaptive control law for the tracking is presented.The control law can guarantee that all the signals in the closed loop system are bounded and that the tracking error converges to zero.The tracking control laws in the previous related studies only guarantee that the integral of square of the tracking error over a period converges to zero.","PeriodicalId":265315,"journal":{"name":"Journal of Systems Science and Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2009-10-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132585012","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
By using the theory of coincidence degree and analysis technique,periodic solutions for a kind of p-Laplacian neutral functional differential equations with distributed delay is investigated,a new result of the existence of periodic solutions is obtained.
{"title":"Periodic Solutions for p-Laplacian Neutral Functional Differential Equation","authors":"Zhu Yan-ling, Wang Kai","doi":"10.12341/JSSMS08420","DOIUrl":"https://doi.org/10.12341/JSSMS08420","url":null,"abstract":"By using the theory of coincidence degree and analysis technique,periodic solutions for a kind of p-Laplacian neutral functional differential equations with distributed delay is investigated,a new result of the existence of periodic solutions is obtained.","PeriodicalId":265315,"journal":{"name":"Journal of Systems Science and Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2009-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129281242","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The asymptotic distribution of the M-estimators are generally related to quan- tities of the error distribution that can not be conveniently estimated.The randomly weighted bootstrap method provides a way of assessing the distribution of the M-estimators without estimating the nuisance quantities of the error distributions.In this paper,the distribution of M-estimators is approximated by the randomly weighted bootstrap method in linear models when the covariates are random.It is shown that the randomly weighted bootstrapping estima- tion of the distribution of the M-estimator is uniformly consistent.Also,the variance estimates is investigated by Monte Carlo simulations for different choices of the convex function,sample size and random weights.Poisson weighting is recommended for reducing the computational burden in the randomly weighted bootstrapping M-estimators.
{"title":"APPROXIMATING THE DISTRIBUTION OF M-ESTIMATORS IN LINEAR MODELS BY RANDOMLY WEIGHTED BOOTSTRAP","authors":"Yang Yaning","doi":"10.12341/JSSMS10175","DOIUrl":"https://doi.org/10.12341/JSSMS10175","url":null,"abstract":"The asymptotic distribution of the M-estimators are generally related to quan- tities of the error distribution that can not be conveniently estimated.The randomly weighted bootstrap method provides a way of assessing the distribution of the M-estimators without estimating the nuisance quantities of the error distributions.In this paper,the distribution of M-estimators is approximated by the randomly weighted bootstrap method in linear models when the covariates are random.It is shown that the randomly weighted bootstrapping estima- tion of the distribution of the M-estimator is uniformly consistent.Also,the variance estimates is investigated by Monte Carlo simulations for different choices of the convex function,sample size and random weights.Poisson weighting is recommended for reducing the computational burden in the randomly weighted bootstrapping M-estimators.","PeriodicalId":265315,"journal":{"name":"Journal of Systems Science and Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2008-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121156221","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"ON THE OSCILLATION OF SECOND ORDER LINEAR MATRIX DIFFERENTIAL SYSTEMS","authors":"Shi Wenying, Wang Peiguang","doi":"10.12341/JSSMS10285","DOIUrl":"https://doi.org/10.12341/JSSMS10285","url":null,"abstract":"","PeriodicalId":265315,"journal":{"name":"Journal of Systems Science and Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2005-10-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116037878","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1900-01-01DOI: 10.1007/978-3-319-07884-7
Yang Ha
{"title":"A SURVEY ON STABILIZATION OF SWITCHED NONLINEAR SYSTEMS WITH UNSTABLE MODES","authors":"Yang Ha","doi":"10.1007/978-3-319-07884-7","DOIUrl":"https://doi.org/10.1007/978-3-319-07884-7","url":null,"abstract":"","PeriodicalId":265315,"journal":{"name":"Journal of Systems Science and Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115718424","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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