{"title":"Stabilization of fractional bilinear systems with multiple inputs","authors":"Thouraya Kharrat, Fehmi Mabrouk, Fawzi Omri","doi":"10.1007/s11766-023-3976-5","DOIUrl":"10.1007/s11766-023-3976-5","url":null,"abstract":"<div><p>In this paper, we study in a constructive way the stabilization problem of fractional bilinear systems with multiple inputs. Using the quadratic Lyapunov functions and some additional hypotheses on the unit sphere, we construct stabilizing feedback laws for the considered fractional bilinear system. A numerical example is given to illustrate the efficiency of the obtained result.</p></div>","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":"38 1","pages":"78 - 88"},"PeriodicalIF":0.0,"publicationDate":"2023-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47641321","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}
{"title":"Complement of the reduced non-zero component graph of free semimodules","authors":"T. Tamizh Chelvam, K. Prabha Ananthi","doi":"10.1007/s11766-023-3737-5","DOIUrl":"10.1007/s11766-023-3737-5","url":null,"abstract":"<div><p>Let <span>(mathbb{M})</span> be a finitely generated free semimodule over a semiring <span>(mathbb{S})</span> with identity having invariant basis number property with a basis <i>α</i> = {<i>α</i><sub>1</sub>,…, <i>α</i><sub><i>k</i></sub>}. The complement <span>(overline {{Gamma ^ * }} left(mathbb{M}right))</span> of the reduced non-zero component graph <span>({Gamma ^ * }left(mathbb{M}right))</span> of <span>(mathbb{M})</span>, is the simple undirected graph with <span>(V = {mathbb{M}^ * }backslash left{ {sumlimits_{i = 1}^k {{c_i}} {alpha _i}:{c_i} ne 0,,forall ,,i} right})</span> as the vertex set and such that there is an edge between two distinct vertices <span>(a = sumlimits_{i = 1}^k {{a_i}{alpha _i}} )</span> and <span>(b = sumlimits_{i = 1}^k {{b_i}{alpha _i}} )</span> if and only if there exists no i such that both <i>a</i><sub><i>i</i></sub>, <i>b</i><sub><i>i</i></sub> are non-zero. In this paper, we show that the graph <span>(overline {{Gamma ^ * }} left(mathbb{M}right))</span> is connected and find its domination number, clique number and chromatic number. In the case of finite semirings, we determine the degree of each vertex, order, size, vertex connectivity and girth of <span>(overline {{Gamma ^ * }} left(mathbb{M}right))</span>. Also, we give a necessary and sufficient condition for <span>(overline {{Gamma ^ * }} left(mathbb{M}right))</span> to be Eulerian or Hamiltonian or planar.</p></div>","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":"38 1","pages":"1 - 15"},"PeriodicalIF":0.0,"publicationDate":"2023-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46824762","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}
{"title":"Some results on derivations of MV-algebras","authors":"Jun-tao Wang, Peng-fei He, Yan-hong She","doi":"10.1007/s11766-023-4054-8","DOIUrl":"10.1007/s11766-023-4054-8","url":null,"abstract":"<div><p>In this paper, we review some of their related properties of derivations on MV-algebras and give some characterizations of additive derivations. Then we prove that the fixed point set of Boolean additive derivations and that of their adjoint derivations are isomorphic. In particular, we prove that every MV-algebra is isomorphic to the direct product of the fixed point set of Boolean additive derivations and that of their adjoint derivations. Finally we show that every Boolean algebra is isomorphic to the algebra of all Boolean additive (implicative) derivations. These results also give the negative answers to two open problems, which were proposed in [Fuzzy Sets and Systems, <b>303</b>(2016), 97–113] and [Information Sciences, <b>178</b>(2008), 307–316].</p></div>","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":"38 1","pages":"126 - 143"},"PeriodicalIF":0.0,"publicationDate":"2023-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11766-023-4054-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48660165","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}
Syed T. R. Rizvi, Aly R. Seadawy, Muhammad Younis, S. O. Abbas, Abdul Khaliq
{"title":"Optical dromions for complex Ginzburg Landau model with nonlinear media","authors":"Syed T. R. Rizvi, Aly R. Seadawy, Muhammad Younis, S. O. Abbas, Abdul Khaliq","doi":"10.1007/s11766-023-4044-x","DOIUrl":"10.1007/s11766-023-4044-x","url":null,"abstract":"<div><p>This manuscript studies the optical dromions with beta derivative (BD) applied to the Complex Ginzburg Landau equation (CGLE) with Kerr law, parabolic law, cubic quintic septic law and quadratic cubic law. We obtain bright dromians by using the sine-cosine method (SCM). We will also obtain domain walls with the assistance of Bernoulli equation approach (BEA). Constraint conditions are also listed.</p></div>","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":"38 1","pages":"111 - 125"},"PeriodicalIF":0.0,"publicationDate":"2023-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49133125","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}
{"title":"Certain averaging operators on Triebel-Lizorkin spaces","authors":"Jun-yan Zhao, Ya-li Pan","doi":"10.1007/s11766-022-4035-3","DOIUrl":"10.1007/s11766-022-4035-3","url":null,"abstract":"<div><p>In this article, we study the boundedness properties of the averaging operator <i>S</i><span>\u0000 <sup><i>γ</i></sup><sub><i>t</i></sub>\u0000 \u0000 </span> on Triebel-Lizorkin spaces <span>(dot F_{p,q}^alpha left( {{mathbb{R}^n}} right))</span> for various <i>p,q</i>. As an application, we obtain the norm convergence rate for <i>S</i><span>\u0000 <sup><i>γ</i></sup><sub><i>t</i></sub>\u0000 \u0000 </span> (<i>f</i>) on Triebel-Lizorkin spaces and the relation between the smoothness imposed on functions and the rate of norm convergence of <i>S</i><span>\u0000 <sup><i>γ</i></sup><sub><i>t</i></sub>\u0000 \u0000 </span> is given.</p></div>","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":"37 4","pages":"546 - 562"},"PeriodicalIF":0.0,"publicationDate":"2022-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11766-022-4035-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44735903","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}
Zhao-qi Wu, Lin Zhang, Chuan-xi Zhu, Cheng-gui Yuan
{"title":"Some new fixed point results under constraint inequalities in comparable complete partially ordered Menger PM-spaces","authors":"Zhao-qi Wu, Lin Zhang, Chuan-xi Zhu, Cheng-gui Yuan","doi":"10.1007/s11766-022-3685-5","DOIUrl":"10.1007/s11766-022-3685-5","url":null,"abstract":"<div><p>In this paper, we introduce the concept of comparable <span>({cal T})</span>-completeness of a partially ordered Menger PM-space and discuss the existence of fixed points for mappings satisfying certain conditions in the framework of a comparable <span>({cal T})</span>-complete partially ordered Menger PM-space. We obtain some new results which generalize many known ones in the literature. Moreover, we derive some consequent results and give an example to illustrate our main result.</p></div>","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":"37 4","pages":"494 - 512"},"PeriodicalIF":0.0,"publicationDate":"2022-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11766-022-3685-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48963457","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}
{"title":"Mathematical methods for maintenance and operation cost prediction based on transfer learning in State Grid","authors":"Yun-peng Guo, Ying Zheng, Dong-fa Wang, Wei-bin Ding","doi":"10.1007/s11766-022-4319-7","DOIUrl":"10.1007/s11766-022-4319-7","url":null,"abstract":"<div><p>The electric power enterprise is an important basic energy industry for national development, and it is also the first basic industry of the national economy. With the continuous expansion of State Grid, the progressively complex operating conditions, and the increasing scope and frequency of data collection, how to make reasonable use of electrical big data, improve utilization, and provide a theoretical basis for the reliability of State Grid operation, has become a new research hot spot. Since electrical data has the characteristics of large volume, multiple types, low-value density, and fast processing speed, it is a challenge to mine and analyze it deeply, extract valuable information efficiently, and serve for the actual problem. According to the features of these data, this paper uses artificial intelligence methods such as time series and support vector regression to establish a data mining network model for standard cost prediction through transfer learning. The experimental results show that the model in this paper obtains better prediction results on a small sample data set, which verifies the feasibility of the deep transfer model. Compared with activity-based costing and the traditional prediction method, the average absolute error of the proposed method is reduced by 10%, which is effective and superior.</p></div>","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":"37 4","pages":"598 - 614"},"PeriodicalIF":0.0,"publicationDate":"2022-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49044447","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}
{"title":"Fisher information for generalized Rayleigh distribution in ranked set sampling design with application to parameter estimation","authors":"Bing-liang Shen, Shuo Wang, Wang-xue Chen, Meng Chen","doi":"10.1007/s11766-022-4450-5","DOIUrl":"10.1007/s11766-022-4450-5","url":null,"abstract":"<div><p>In the current paper, we considered the Fisher information matrix from the generalized Rayleigh distribution (GR) distribution in ranked set sampling (RSS). The numerical results show that the ranked set sample carries more information about <i>λ</i> and <i>α</i> than a simple random sample of equivalent size. In order to give more insight into the performance of RSS with respect to (w.r.t.) simple random sampling (SRS), a modified unbiased estimator and a modified best linear unbiased estimator (BLUE) of scale and shape <i>λ</i> and <i>α</i> from GR distribution in SRS and RSS are studied. The numerical results show that the modified unbiased estimator and the modified BLUE of <i>λ</i> and <i>α</i> in RSS are significantly more efficient than the ones in SRS.</p></div>","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":"37 4","pages":"615 - 630"},"PeriodicalIF":0.0,"publicationDate":"2022-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11766-022-4450-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47925832","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}
{"title":"Inverse resonance problems with the discontinuous conditions","authors":"Ran Zhang, Murat Sat, Chuan-fu Yang","doi":"10.1007/s11766-022-4004-x","DOIUrl":"10.1007/s11766-022-4004-x","url":null,"abstract":"<div><p>In this paper, we consider the inverse resonance problems for the discontinuous and non-selfadjoint Sturm-Liouville problem. We prove the uniqueness theorem and provide a reconstructive algorithm for the potential by using the Cauchy data and Weyl function.</p></div>","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":"37 4","pages":"530 - 545"},"PeriodicalIF":0.0,"publicationDate":"2022-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11766-022-4004-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44104890","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}
{"title":"Flow of EMHD nanofluid in curved channel through corrugated walls","authors":"Madhia Rashid, Sohail Nadeem","doi":"10.1007/s11766-022-3899-6","DOIUrl":"10.1007/s11766-022-3899-6","url":null,"abstract":"<div><p>The present examination deals with the effects of nanofluids on corrugated walls under the influence of electromagnetohydrodynamic (EMHD) in the curved channel. The investigation is carried out by water-based nanofluids using copper nanoparticle. Firstly performed the mathematical modelling by applying the method of perturbation, we have evaluated analytical solutions for the velocity and temperature. For the corrugations of the two walls periodic sine waves are described for small amplitude either in phase or out of phase. By using numerical calculations we analyzed the corrugation effects on the velocity and temperature for EMHD flow. The physical effects of flow variables like Hartmann number, Volumetric concentration of nanoparticles, Grashof number, Curvature parameter and Heat absorption coefficient are graphically discussed. Moreover, the effect of Curvature parameter on Stresses and Nusselt number is discussed through tables. The velocity and temperature decrease when the curvature parameter is increased. The electromagnetohydrodynamic (EMHD) velocity and temperature distributions show that 0° is the phase difference between the two walls for in phase and the phase difference is equal to the 180° between two walls for out of phase. The important conclusion is that reducing the unobvious wave effect on the velocity and temperature for a small value of amplitude ratio parameter.</p></div>","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":"37 4","pages":"513 - 529"},"PeriodicalIF":0.0,"publicationDate":"2022-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11766-022-3899-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46539185","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}