Pub Date : 2023-01-24DOI: 10.14736/kyb-2022-6-0843
M. Hedayati, Hojjat Ahsani Tehrani, A. Fakharzadeh Jahromi, M. H. Noori Skandari, D. Baleanu
{"title":"An efficient hp spectral collocation method for nonsmooth optimal control problems","authors":"M. Hedayati, Hojjat Ahsani Tehrani, A. Fakharzadeh Jahromi, M. H. Noori Skandari, D. Baleanu","doi":"10.14736/kyb-2022-6-0843","DOIUrl":"https://doi.org/10.14736/kyb-2022-6-0843","url":null,"abstract":"","PeriodicalId":49928,"journal":{"name":"Kybernetika","volume":"85 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78937081","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-19DOI: 10.14736/kyb-2022-5-0708
Sedighe Khaleghzade, Mostafa Zangiabadi, A. Peperko, M. Hajarian
In this paper, we propose the notions of the max-plus algebra of the interval tensors, which can be used for the extension of interval linear systems to interval multi-linear systems in the max-plus algebra. Some properties and basic results of interval multi-linear systems in max-plus algebra are derived. An algorithm is developed for computing a solution of the multi-linear systems in the max-plus algebra. Necessary and sufficient conditions for the interval multi-linear systems for weak solvability over max-plus algebra are obtained as well. Also, some examples are given for illustrating the obtained results. Moreover, we briefly sketch how our results can be used in the max-plus algebraic system theory for synchronized discrete event systems.
{"title":"Interval multi-linear systems for tensors in the max-plus algebra and their application in solving the job shop problem","authors":"Sedighe Khaleghzade, Mostafa Zangiabadi, A. Peperko, M. Hajarian","doi":"10.14736/kyb-2022-5-0708","DOIUrl":"https://doi.org/10.14736/kyb-2022-5-0708","url":null,"abstract":"In this paper, we propose the notions of the max-plus algebra of the interval tensors, which can be used for the extension of interval linear systems to interval multi-linear systems in the max-plus algebra. Some properties and basic results of interval multi-linear systems in max-plus algebra are derived. An algorithm is developed for computing a solution of the multi-linear systems in the max-plus algebra. Necessary and sufficient conditions for the interval multi-linear systems for weak solvability over max-plus algebra are obtained as well. Also, some examples are given for illustrating the obtained results. Moreover, we briefly sketch how our results can be used in the max-plus algebraic system theory for synchronized discrete event systems.","PeriodicalId":49928,"journal":{"name":"Kybernetika","volume":"12 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84584698","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-19DOI: 10.14736/kyb-2022-5-0779
Masamichi Kon
In the present paper, fuzzy order relations on a real vector space are characterized by fuzzy cones. It is well-known that there is one-to-one correspondence between order relations, that a real vector space with the order relation is an ordered vector space, and pointed convex cones. We show that there is one-to-one correspondence between fuzzy order relations with some properties, which are fuzzification of the order relations, and fuzzy pointed convex cones, which are fuzzification of the pointed convex cones.
{"title":"Characterization of fuzzy order relation by fuzzy cone","authors":"Masamichi Kon","doi":"10.14736/kyb-2022-5-0779","DOIUrl":"https://doi.org/10.14736/kyb-2022-5-0779","url":null,"abstract":"In the present paper, fuzzy order relations on a real vector space are characterized by fuzzy cones. It is well-known that there is one-to-one correspondence between order relations, that a real vector space with the order relation is an ordered vector space, and pointed convex cones. We show that there is one-to-one correspondence between fuzzy order relations with some properties, which are fuzzification of the order relations, and fuzzy pointed convex cones, which are fuzzification of the pointed convex cones.","PeriodicalId":49928,"journal":{"name":"Kybernetika","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89635525","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-19DOI: 10.14736/kyb-2022-5-0691
Alexander Guterman, Elena Kreines, Alexander Vlasov
The cyclicity index of a matrix is the cyclicity index of its critical subgraph, namely, the sub-graph of the adjacency graph which consists of all cycles of the maximal average weight. The cyclicity index of a graph is the least common multiple of the cyclicity indices of all its maximal strongly connected subgraphs, and the cyclicity index of a strongly connected graph is the least common divisor of the lengths of its (directed) cycles. In this paper we obtain the characterization of linear, possibly non-surjective, transformations of tropical matrices preserving the cyclicity index. It appears that non-bijective maps with these properties exist and all maps are exhausted by transposition, renumbering of vertices, Hadamard multiplication with a matrix of a certain special structure, and certain diagonal transformation. Moreover, only diagonal transformation can be non-bijective.
{"title":"Non-surjective linear transformations of tropical matrices preserving the cyclicity index","authors":"Alexander Guterman, Elena Kreines, Alexander Vlasov","doi":"10.14736/kyb-2022-5-0691","DOIUrl":"https://doi.org/10.14736/kyb-2022-5-0691","url":null,"abstract":"The cyclicity index of a matrix is the cyclicity index of its critical subgraph, namely, the sub-graph of the adjacency graph which consists of all cycles of the maximal average weight. The cyclicity index of a graph is the least common multiple of the cyclicity indices of all its maximal strongly connected subgraphs, and the cyclicity index of a strongly connected graph is the least common divisor of the lengths of its (directed) cycles. In this paper we obtain the characterization of linear, possibly non-surjective, transformations of tropical matrices preserving the cyclicity index. It appears that non-bijective maps with these properties exist and all maps are exhausted by transposition, renumbering of vertices, Hadamard multiplication with a matrix of a certain special structure, and certain diagonal transformation. Moreover, only diagonal transformation can be non-bijective.","PeriodicalId":49928,"journal":{"name":"Kybernetika","volume":"88 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135300531","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-19DOI: 10.14736/kyb-2022-5-0760
M. Gavalec, H. Mysková, J. Plávka, Daniela Ponce
{"title":"Tolerance problems for generalized eigenvectors of interval fuzzy matrices","authors":"M. Gavalec, H. Mysková, J. Plávka, Daniela Ponce","doi":"10.14736/kyb-2022-5-0760","DOIUrl":"https://doi.org/10.14736/kyb-2022-5-0760","url":null,"abstract":"","PeriodicalId":49928,"journal":{"name":"Kybernetika","volume":"149 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73338471","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-11-29DOI: 10.14736/kyb-2022-4-0637
Yanjun Shen, Lei Lin
{"title":"Adaptive output feedback stabilization for nonlinear systems with unknown polynomial-of-output growth rate and sensor uncertainty","authors":"Yanjun Shen, Lei Lin","doi":"10.14736/kyb-2022-4-0637","DOIUrl":"https://doi.org/10.14736/kyb-2022-4-0637","url":null,"abstract":"","PeriodicalId":49928,"journal":{"name":"Kybernetika","volume":"82 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85410100","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-11-22DOI: 10.14736/kyb-2022-4-0626
P. Florchinger
{"title":"Stabilization of partially linear composite stochastic systems via stochastic Luenberger observers","authors":"P. Florchinger","doi":"10.14736/kyb-2022-4-0626","DOIUrl":"https://doi.org/10.14736/kyb-2022-4-0626","url":null,"abstract":"","PeriodicalId":49928,"journal":{"name":"Kybernetika","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89165713","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-11-15DOI: 10.14736/kyb-2022-4-0593
Valery Y. Glizer
{"title":"Stability and stabilization of one class of three time-scale systems with delays","authors":"Valery Y. Glizer","doi":"10.14736/kyb-2022-4-0593","DOIUrl":"https://doi.org/10.14736/kyb-2022-4-0593","url":null,"abstract":"","PeriodicalId":49928,"journal":{"name":"Kybernetika","volume":"153 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86207980","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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