{"title":"Pieciewise Continuous Mappings derived from Parametrically Excited Pendulums","authors":"Takahiro Yamaguchi, Hiroyuki Asahara, Hirokazu Ohtagaki","doi":"10.5687/sss.2023.41","DOIUrl":"https://doi.org/10.5687/sss.2023.41","url":null,"abstract":"This paper proposes a PCM method that is a method invoking Piecewise Continuous Map (PCM) to investigating nonlinear phenomena of oscillations in parametrically excited pendulums. At first, Sine Circle Map (SCM) is derived from the oscillations in the nonlinear oscillatory systems. Secondly, by applying least mean square method to SCM, approximate PCM is obtained. Fundamental properties of obtained PCM are shown to investigate the nonlinear phenomena in the oscillatory systems. Finally, the motions of mapped points in the PCM are investigated for various values of the parameters of the PCM. Furthermore, the relations of the PCM and the oscillations in the systems are shown for synthesis of the oscillatory nonlinear systems.","PeriodicalId":238921,"journal":{"name":"Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications","volume":"55 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136152055","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 Mathematical Analysis of the Stochastic Age-structured Infectious Model","authors":"Masaaki Ishikawa","doi":"10.5687/sss.2023.28","DOIUrl":"https://doi.org/10.5687/sss.2023.28","url":null,"abstract":"The stability of the stochastic age-structured infectious model is studied in this paper. At present, we have still various kinds of the infectious disease threats including Corona virus disease, influenza and monkeypox. Hence, the analysis of infection diseases plays an important role in the modern society. In the past, a great deal of research of infectious diseases has been performed using various kinds of mathematical tools and models. Most of the conventional research is based on the deterministic mathematical tools and models. However, in the realistic spread of the infectious disease, environmental change and individual difference cause some kinds of random fluctuations in the infection, the recovery rates and the vaccination effect. Moreover, the parameters of the population dynamics such as infection, recovery, birth and death rates depend on age. Taking these facts into consideration, we propose the stochastic age-structured infectious model. Since the spread of infection has reference to the stability of the steady state of the stochastic infectious models, we consider the stability of the stochastic infectious models and derive the sufficient conditions for the steady state to be stable by using the stochastic Lyapunov theorem.","PeriodicalId":238921,"journal":{"name":"Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136152054","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":"Multi-solution tracking in shifting sphere function using gravitational particle swarm algorithm","authors":"Shoki Hirose, Katsutoshi Yoshida, Yoshikazu Yamanaka","doi":"10.5687/sss.2023.81","DOIUrl":"https://doi.org/10.5687/sss.2023.81","url":null,"abstract":"In this study, we propose a novel optimization method, which can track multiple optimal solutions for dynamic problems. In our previous study, we proposed a gravitational particle swarm algorithm (GPSA), which is able to search for multiple optimal solutions. In this paper, first, we apply the original GPSA to a multi-solution tracking problem and reveal its drawback. Second, we propose a modified GPSA, called 𝜏GPSA, by replacing original GPSA’s update rule for personal bests with a tolerance update rule. Finally, we demonstrate that 𝜏GPSA can track multiple optimal solutions in an one-dimensional shifting sphere function.","PeriodicalId":238921,"journal":{"name":"Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136152058","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":"A Method of Successive Moving Baseline Estimation of a Slow Speed Robot based on GNSS Positioning","authors":"Hiroki Hayashi, Nao Sasamoto, Yoshiharu Koya, Yukihiro Kubo","doi":"10.5687/sss.2023.13","DOIUrl":"https://doi.org/10.5687/sss.2023.13","url":null,"abstract":"The GNSS (Global Navigation Satellite System) is currently used in a variety of applications [1], and its positioning accuracy requirements become more and more demanding. We focus on an automatic strawberry pollination robot (under development in Kobe City College of Technology) and study a method of successive moving baseline vector estimation [2]. In this paper, we propose a method to estimate accurate successive moving baseline vectors based on the difference of the single GNSS receiver observables obtained at two successive observation time (epoch). Furthermore, we also propose a method to estimate the bias error included in the moving baseline vector. Throughout the experiment, the proposed method and the relative positioning method are compared that the error is 0.97 [cm].","PeriodicalId":238921,"journal":{"name":"Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136152064","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":"A Novel Approach to the Optimal Control of an SIR Epidemic Model with Vaccination","authors":"A. Ohsumi","doi":"10.5687/sss.2022.42","DOIUrl":"https://doi.org/10.5687/sss.2022.42","url":null,"abstract":"","PeriodicalId":238921,"journal":{"name":"Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications","volume":"89 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134407416","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}
Andres Mauricio Molina Barreto, N. Ishimura, Koichiro Takaoka
{"title":"On a determination formula for the estimation of copula-based Value at Risk","authors":"Andres Mauricio Molina Barreto, N. Ishimura, Koichiro Takaoka","doi":"10.5687/sss.2022.86","DOIUrl":"https://doi.org/10.5687/sss.2022.86","url":null,"abstract":"","PeriodicalId":238921,"journal":{"name":"Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128639339","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}
S. Saitō, Tomoki Yanagida, Taiga Sasame, Keisuke Ota, I. Hanazaki
{"title":"Analysing Relationship between Muscle of Facial Activity and Voice Formant / Vocal Organs Shape during Sound Adjustments","authors":"S. Saitō, Tomoki Yanagida, Taiga Sasame, Keisuke Ota, I. Hanazaki","doi":"10.5687/sss.2022.119","DOIUrl":"https://doi.org/10.5687/sss.2022.119","url":null,"abstract":"","PeriodicalId":238921,"journal":{"name":"Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129335874","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":"Fast Implementation of Automatic Building Extraction Using Color Cluster Analysis from Scenery Image","authors":"Takuya Futagami, N. Hayasaka","doi":"10.5687/sss.2022.102","DOIUrl":"https://doi.org/10.5687/sss.2022.102","url":null,"abstract":"","PeriodicalId":238921,"journal":{"name":"Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132208171","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 Mathematical Analysis for the Stochastic Infectious Model under Subclinical Infections and Vaccination","authors":"M. Ishikawa","doi":"10.5687/sss.2022.1","DOIUrl":"https://doi.org/10.5687/sss.2022.1","url":null,"abstract":"","PeriodicalId":238921,"journal":{"name":"Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications","volume":"61 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114672842","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 Effect of Norm Selection in Scenario Approach to Robust Feasibility Problem","authors":"Tomoyuki Iori, Y. Fujisaki","doi":"10.5687/sss.2022.56","DOIUrl":"https://doi.org/10.5687/sss.2022.56","url":null,"abstract":"","PeriodicalId":238921,"journal":{"name":"Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123244475","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}