Pub Date : 2024-01-05DOI: 10.1007/s10883-023-09676-8
Mohammad M. Algharabli
{"title":"Stability Results for a System of Nonlinear Viscoelastic Plate Equations with Nonlinear Frictional Damping and Logarithmic Source Terms","authors":"Mohammad M. Algharabli","doi":"10.1007/s10883-023-09676-8","DOIUrl":"https://doi.org/10.1007/s10883-023-09676-8","url":null,"abstract":"","PeriodicalId":54847,"journal":{"name":"Journal of Dynamical and Control Systems","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-01-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139381651","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}
Pub Date : 2024-01-03DOI: 10.1007/s10883-023-09673-x
Sheng-Jie Li, Shugen Chai
{"title":"Stabilization of the Viscoelastic Wave Equation with Variable Coefficients and a Delay Term in Nonlocal Boundary Feedback","authors":"Sheng-Jie Li, Shugen Chai","doi":"10.1007/s10883-023-09673-x","DOIUrl":"https://doi.org/10.1007/s10883-023-09673-x","url":null,"abstract":"","PeriodicalId":54847,"journal":{"name":"Journal of Dynamical and Control Systems","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139389554","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}
Pub Date : 2023-11-07DOI: 10.1007/s10883-023-09670-0
Adriano Da Silva, Eyüp Kizil, Okan Duman
{"title":"Linear Control Systems on Homogeneous Spaces of the Heisenberg Group","authors":"Adriano Da Silva, Eyüp Kizil, Okan Duman","doi":"10.1007/s10883-023-09670-0","DOIUrl":"https://doi.org/10.1007/s10883-023-09670-0","url":null,"abstract":"","PeriodicalId":54847,"journal":{"name":"Journal of Dynamical and Control Systems","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135476481","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}
Pub Date : 2023-10-17DOI: 10.1007/s10883-023-09669-7
K. Lee, T. Nguyen, A. Rojas
{"title":"Stability of Geometric Separating Flows","authors":"K. Lee, T. Nguyen, A. Rojas","doi":"10.1007/s10883-023-09669-7","DOIUrl":"https://doi.org/10.1007/s10883-023-09669-7","url":null,"abstract":"","PeriodicalId":54847,"journal":{"name":"Journal of Dynamical and Control Systems","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135993633","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}
Pub Date : 2023-10-12DOI: 10.1007/s10883-023-09650-4
Billal Lekdim, Ammar Khemmoudj
{"title":"Existence and Exponential Stabilization of an Axial Vibrations Cable with Time-Varying Length","authors":"Billal Lekdim, Ammar Khemmoudj","doi":"10.1007/s10883-023-09650-4","DOIUrl":"https://doi.org/10.1007/s10883-023-09650-4","url":null,"abstract":"","PeriodicalId":54847,"journal":{"name":"Journal of Dynamical and Control Systems","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136013237","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}
Pub Date : 2023-10-09DOI: 10.1007/s10883-023-09668-8
Victor Janeiro
{"title":"Existence of Robust Non-Uniformly Hyperbolic Endomorphism in Homotopy Classes","authors":"Victor Janeiro","doi":"10.1007/s10883-023-09668-8","DOIUrl":"https://doi.org/10.1007/s10883-023-09668-8","url":null,"abstract":"","PeriodicalId":54847,"journal":{"name":"Journal of Dynamical and Control Systems","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135095331","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}
Pub Date : 2023-09-29DOI: 10.1007/s10883-023-09659-9
Timothée Schmoderer, Witold Respondek
This paper addresses the equivalence problem of conic submanifolds in the tangent bundle of a smooth 2-dimensional manifold. Those are given by a quadratic relation between the velocities and are treated as nonholonomic constraints whose admissible curves are trajectories of the corresponding control systems, called quadratic systems. We deal with the problem of characterising and classifying conic submanifolds under the prism of feedback equivalence of control systems, both control-affine and fully nonlinear. The first main result of this work is a complete description of non-degenerate conic submanifolds via a characterisation under feedback transformations of the novel class of quadratic control-affine systems. This characterisation can explicitly be tested on structure functions defined for any control-affine system and gives a normal form of quadratisable systems and of conic submanifolds. Then, we consider the classification problem of regular conic submanifolds (ellipses, hyperbolas, and parabolas), which is treated via feedback classification of quadratic control-nonlinear systems. Our classification includes several normal forms of quadratic systems (in particular, normal forms not containing functional parameters as well as those containing neither functional nor real parameters) and, as a consequence, gives a classification of regular conic submanifolds.
{"title":"Conic Nonholonomic Constraints on Surfaces and Control Systems","authors":"Timothée Schmoderer, Witold Respondek","doi":"10.1007/s10883-023-09659-9","DOIUrl":"https://doi.org/10.1007/s10883-023-09659-9","url":null,"abstract":"This paper addresses the equivalence problem of conic submanifolds in the tangent bundle of a smooth 2-dimensional manifold. Those are given by a quadratic relation between the velocities and are treated as nonholonomic constraints whose admissible curves are trajectories of the corresponding control systems, called quadratic systems. We deal with the problem of characterising and classifying conic submanifolds under the prism of feedback equivalence of control systems, both control-affine and fully nonlinear. The first main result of this work is a complete description of non-degenerate conic submanifolds via a characterisation under feedback transformations of the novel class of quadratic control-affine systems. This characterisation can explicitly be tested on structure functions defined for any control-affine system and gives a normal form of quadratisable systems and of conic submanifolds. Then, we consider the classification problem of regular conic submanifolds (ellipses, hyperbolas, and parabolas), which is treated via feedback classification of quadratic control-nonlinear systems. Our classification includes several normal forms of quadratic systems (in particular, normal forms not containing functional parameters as well as those containing neither functional nor real parameters) and, as a consequence, gives a classification of regular conic submanifolds.","PeriodicalId":54847,"journal":{"name":"Journal of Dynamical and Control Systems","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135131720","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}
Pub Date : 2023-09-25DOI: 10.1007/s10883-023-09667-9
Víctor Ayala, Adriano Da Silva, Alejandro Otero Robles
{"title":"Dynamics of Linear Control Systems on the Group of Proper Motions","authors":"Víctor Ayala, Adriano Da Silva, Alejandro Otero Robles","doi":"10.1007/s10883-023-09667-9","DOIUrl":"https://doi.org/10.1007/s10883-023-09667-9","url":null,"abstract":"","PeriodicalId":54847,"journal":{"name":"Journal of Dynamical and Control Systems","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135815573","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}
Pub Date : 2023-09-22DOI: 10.1007/s10883-023-09665-x
Simeão Targino da Silva, Régis Varão
{"title":"Conditions for Atomic Disintegration to be Monoatomic","authors":"Simeão Targino da Silva, Régis Varão","doi":"10.1007/s10883-023-09665-x","DOIUrl":"https://doi.org/10.1007/s10883-023-09665-x","url":null,"abstract":"","PeriodicalId":54847,"journal":{"name":"Journal of Dynamical and Control Systems","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136060074","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}
Pub Date : 2023-09-22DOI: 10.1007/s10883-023-09666-w
Horacio Leyva, Baltazar Aguirre-Hernández, Jesús F. Espinoza
{"title":"Stabilization of Affine Systems with Polytopic Control Value Sets","authors":"Horacio Leyva, Baltazar Aguirre-Hernández, Jesús F. Espinoza","doi":"10.1007/s10883-023-09666-w","DOIUrl":"https://doi.org/10.1007/s10883-023-09666-w","url":null,"abstract":"","PeriodicalId":54847,"journal":{"name":"Journal of Dynamical and Control Systems","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136061577","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}
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