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Gauss-Bonnet Theorems for Surfaces in Sub-Riemannian Three-dimensional Manifolds 亚黎曼三维流形中曲面的Gauss-Bonnect定理
IF 0.9 4区 数学
Journal of Dynamical and Control Systems Pub Date : 2023-01-13 DOI: 10.1007/s10883-022-09626-w
J. Veloso
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引用次数: 0
Stabilization of an Axially Moving Euler Bernoulli Beam by an Adaptive Boundary Control 轴运动Euler-Bernoulli梁的自适应边界控制镇定
IF 0.9 4区 数学
Journal of Dynamical and Control Systems Pub Date : 2023-01-12 DOI: 10.1007/s10883-022-09632-y
A. Kelleche, Fardin Saedpanah
{"title":"Stabilization of an Axially Moving Euler Bernoulli Beam by an Adaptive Boundary Control","authors":"A. Kelleche, Fardin Saedpanah","doi":"10.1007/s10883-022-09632-y","DOIUrl":"https://doi.org/10.1007/s10883-022-09632-y","url":null,"abstract":"","PeriodicalId":54847,"journal":{"name":"Journal of Dynamical and Control Systems","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41287886","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Multiplicity of Periodic Solutions for a Class of New Super-quadratic Damped Vibration Problems 一类新的超二次阻尼振动问题周期解的多重性
IF 0.9 4区 数学
Journal of Dynamical and Control Systems Pub Date : 2023-01-06 DOI: 10.1007/s10883-022-09638-6
Shan Jiang, Huijuan Xu, Guanggang Liu
{"title":"Multiplicity of Periodic Solutions for a Class of New Super-quadratic Damped Vibration Problems","authors":"Shan Jiang, Huijuan Xu, Guanggang Liu","doi":"10.1007/s10883-022-09638-6","DOIUrl":"https://doi.org/10.1007/s10883-022-09638-6","url":null,"abstract":"","PeriodicalId":54847,"journal":{"name":"Journal of Dynamical and Control Systems","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-01-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48941663","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Chaos in One-dimensional Piecewise Smooth Dynamical Systems 一维分段光滑动力系统中的混沌
IF 0.9 4区 数学
Journal of Dynamical and Control Systems Pub Date : 2023-01-05 DOI: 10.1007/s10883-022-09630-0
M. Pourbarat, Neda Abbasi, Roya Makrooni, M. Molaei
{"title":"Chaos in One-dimensional Piecewise Smooth Dynamical Systems","authors":"M. Pourbarat, Neda Abbasi, Roya Makrooni, M. Molaei","doi":"10.1007/s10883-022-09630-0","DOIUrl":"https://doi.org/10.1007/s10883-022-09630-0","url":null,"abstract":"","PeriodicalId":54847,"journal":{"name":"Journal of Dynamical and Control Systems","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-01-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43735345","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Lipschitz Carnot-Carathéodory Structures and their Limits. Lipschitz Carnot Carathéodory结构及其极限。
IF 0.9 4区 数学
Journal of Dynamical and Control Systems Pub Date : 2023-01-01 Epub Date: 2022-11-25 DOI: 10.1007/s10883-022-09613-1
Gioacchino Antonelli, Enrico Le Donne, Sebastiano Nicolussi Golo
{"title":"Lipschitz Carnot-Carathéodory Structures and their Limits.","authors":"Gioacchino Antonelli,&nbsp;Enrico Le Donne,&nbsp;Sebastiano Nicolussi Golo","doi":"10.1007/s10883-022-09613-1","DOIUrl":"https://doi.org/10.1007/s10883-022-09613-1","url":null,"abstract":"<p><p>In this paper we discuss the convergence of distances associated to converging structures of Lipschitz vector fields and continuously varying norms on a smooth manifold. We prove that, under a mild controllability assumption on the limit vector-fields structure, the distances associated to equi-Lipschitz vector-fields structures that converge uniformly on compact subsets, and to norms that converge uniformly on compact subsets, converge locally uniformly to the limit Carnot-Carathéodory distance. In the case in which the limit distance is boundedly compact, we show that the convergence of the distances is uniform on compact sets. We show an example in which the limit distance is not boundedly compact and the convergence is not uniform on compact sets. We discuss several examples in which our convergence result can be applied. Among them, we prove a subFinsler Mitchell's Theorem with continuously varying norms, and a general convergence result for Carnot-Carathéodory distances associated to subspaces and norms on the Lie algebra of a connected Lie group.</p>","PeriodicalId":54847,"journal":{"name":"Journal of Dynamical and Control Systems","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10516850/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41157362","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
On the Stability and Null-Controllability of an Infinite System of Linear Differential Equations. 关于一个无限线性微分方程组的稳定性和零能控性。
IF 0.9 4区 数学
Journal of Dynamical and Control Systems Pub Date : 2023-01-01 Epub Date: 2021-12-23 DOI: 10.1007/s10883-021-09587-6
Abdulla Azamov, Gafurjan Ibragimov, Khudoyor Mamayusupov, Marks Ruziboev
{"title":"On the Stability and Null-Controllability of an Infinite System of Linear Differential Equations.","authors":"Abdulla Azamov,&nbsp;Gafurjan Ibragimov,&nbsp;Khudoyor Mamayusupov,&nbsp;Marks Ruziboev","doi":"10.1007/s10883-021-09587-6","DOIUrl":"https://doi.org/10.1007/s10883-021-09587-6","url":null,"abstract":"<p><p>In this work, the null controllability problem for a linear system in <i>ℓ</i><sup>2</sup> is considered, where the matrix of a linear operator describing the system is an infinite matrix with <math><mi>λ</mi><mo>∈</mo><mi>ℝ</mi></math> on the main diagonal and 1s above it. We show that the system is asymptotically stable if and only if <i>λ</i> ≤- 1, which shows the fine difference between the finite and the infinite-dimensional systems. When <i>λ</i> ≤- 1 we also show that the system is null controllable in large. Further we show a dependence of the stability on the norm, i.e. the same system considered <math><msup><mrow><mi>ℓ</mi></mrow><mrow><mi>∞</mi></mrow></msup></math> is not asymptotically stable if <i>λ</i> = - 1.</p>","PeriodicalId":54847,"journal":{"name":"Journal of Dynamical and Control Systems","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10516776/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41179419","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
On the Arnold’s Classification Conjecture on Dynamics Of Complexity of Linear Intersections 关于线性交复杂性动力学的Arnold分类猜想
IF 0.9 4区 数学
Journal of Dynamical and Control Systems Pub Date : 2022-12-27 DOI: 10.1007/s10883-022-09637-7
Mónica de Nova-Vázquez
{"title":"On the Arnold’s Classification Conjecture on Dynamics Of Complexity of Linear Intersections","authors":"Mónica de Nova-Vázquez","doi":"10.1007/s10883-022-09637-7","DOIUrl":"https://doi.org/10.1007/s10883-022-09637-7","url":null,"abstract":"","PeriodicalId":54847,"journal":{"name":"Journal of Dynamical and Control Systems","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2022-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44092694","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the Differential Equations with Piecewise Constant Argument 关于具有分段常变元的微分方程
IF 0.9 4区 数学
Journal of Dynamical and Control Systems Pub Date : 2022-12-24 DOI: 10.1007/s10883-022-09633-x
E. A. Dads, Safoua Khelifi, M. Miraoui
{"title":"On the Differential Equations with Piecewise Constant Argument","authors":"E. A. Dads, Safoua Khelifi, M. Miraoui","doi":"10.1007/s10883-022-09633-x","DOIUrl":"https://doi.org/10.1007/s10883-022-09633-x","url":null,"abstract":"","PeriodicalId":54847,"journal":{"name":"Journal of Dynamical and Control Systems","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2022-12-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43277891","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
A Scheme for Calculating Solvability Sets “Up to Moment” in Linear Differential Games 线性微分对策中“直至时刻”可解集的一种计算方法
IF 0.9 4区 数学
Journal of Dynamical and Control Systems Pub Date : 2022-12-22 DOI: 10.1007/s10883-022-09627-9
L. Kamneva
{"title":"A Scheme for Calculating Solvability Sets “Up to Moment” in Linear Differential Games","authors":"L. Kamneva","doi":"10.1007/s10883-022-09627-9","DOIUrl":"https://doi.org/10.1007/s10883-022-09627-9","url":null,"abstract":"","PeriodicalId":54847,"journal":{"name":"Journal of Dynamical and Control Systems","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2022-12-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41674550","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Finite-Time Stabilization and Impulse Control of Heat Equation with Dynamic Boundary Conditions 具有动态边界条件的热方程的有限时间镇定与脉冲控制
IF 0.9 4区 数学
Journal of Dynamical and Control Systems Pub Date : 2022-12-20 DOI: 10.1007/s10883-023-09646-0
Salah-Eddine Chorfi, G. E. Guermai, L. Maniar, W. Zouhair
{"title":"Finite-Time Stabilization and Impulse Control of Heat Equation with Dynamic Boundary Conditions","authors":"Salah-Eddine Chorfi, G. E. Guermai, L. Maniar, W. Zouhair","doi":"10.1007/s10883-023-09646-0","DOIUrl":"https://doi.org/10.1007/s10883-023-09646-0","url":null,"abstract":"","PeriodicalId":54847,"journal":{"name":"Journal of Dynamical and Control Systems","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2022-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44007779","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
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