Discrete & Continuous Dynamical Systems - S最新文献_第3页

On the analyticity of the trajectories of the particles in the planar patch problem for some active scalar equations 一类有源标量方程的平面贴片问题中粒子轨迹的解析性

Discrete & Continuous Dynamical Systems - S Pub Date : 2022-01-01 DOI: 10.3934/dcds.2022005

J. M. Burgués, J. Mateu

引用次数: 0

Preface to the special issue "Partial Differential Equations, Optimization and their Applications" 偏微分方程、优化及其应用 "特刊序言

Discrete & Continuous Dynamical Systems - S Pub Date : 2022-01-01 DOI: 10.3934/dcdss.2021163

Y. El hadfi, Zhaosheng Feng, A. Ghazdali, A. Laghrib

引用次数: 0

Robust $ H_infty $ resilient event-triggered control design for T-S fuzzy systems T-S模糊系统的稳健$ H_infty $弹性事件触发控制设计

Discrete & Continuous Dynamical Systems - S Pub Date : 2022-01-01 DOI: 10.3934/dcdss.2022028

R. Sakthivel, P. Selvaraj, Yeong-Jae Kim, Dong-Hoon Lee, O. Kwon, R. Sakthivel

{"title":"Robust $ H_infty $ resilient event-triggered control design for T-S fuzzy systems","authors":"R. Sakthivel, P. Selvaraj, Yeong-Jae Kim, Dong-Hoon Lee, O. Kwon, R. Sakthivel","doi":"10.3934/dcdss.2022028","DOIUrl":"https://doi.org/10.3934/dcdss.2022028","url":null,"abstract":"This paper investigates the resilient <inline-formula><tex-math id=\"M2\">begin{document}$ H_infty $end{document}</tex-math></inline-formula> event-triggered control problem for Takagi-Sugeno fuzzy system with time-varying delay and external disturbance. Contrary to some existing results, the considered event-triggered conditions are verified only at each sampling instant because it is difficult to prove Zeno-freeness for a continuous event-triggered mechanism in the presence of external disturbance. Furthermore, by constructing an appropriate Lyapunov-Krasovskii functional, sufficient conditions are derived in the form of linear matrix inequalities to ensure the asymptotic stability and the <inline-formula><tex-math id=\"M3\">begin{document}$ H_infty $end{document}</tex-math></inline-formula> performances of closed-loop systems. More precisely, the proposed control design not only improve robust performance but also save the communication resources. Finally, the obtained theoretical results are verified through numerical simulation, which demonstrate the efficiency and advantages of the proposed method.","PeriodicalId":11254,"journal":{"name":"Discrete & Continuous Dynamical Systems - S","volume":"43 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73454626","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}

引用次数: 1

Optimization and coordination in a service-constrained supply chain with the bidirectional option contract under conditional value-at-risk 有条件风险价值下双向期权契约下服务约束供应链的优化与协调

Discrete & Continuous Dynamical Systems - S Pub Date : 2022-01-01 DOI: 10.3934/dcdss.2022021

Han Zhao, Bangdong Sun, Hui Wang, Shiji Song, Yuli Zhang, Liejun Wang

{"title":"Optimization and coordination in a service-constrained supply chain with the bidirectional option contract under conditional value-at-risk","authors":"Han Zhao, Bangdong Sun, Hui Wang, Shiji Song, Yuli Zhang, Liejun Wang","doi":"10.3934/dcdss.2022021","DOIUrl":"https://doi.org/10.3934/dcdss.2022021","url":null,"abstract":"This paper investigates the optimal operational decisions for the risk-neutral supplier and the risk-averse retailer in the supply chain with a service requirement under the conditional value-at-risk. Specifically, the optimal order and production policies with and without the bidirectional option contract are derived. Further, this paper shows that the optimal conditional value-at-risk of the retailer is non-increasing in the service requirement, while the optimal expected profit of the supplier is non-decreasing in the service requirement. When the service requirement is binding, the optimal conditional value-at-risk of the retailer is increasing in the risk aversion, while the optimal expected profit of the supplier is decreasing in the risk aversion. In addition, it is shown that with the bidirectional option contract, the service level provided by the retailer is equivalent to (higher than) that without them when the service requirement is (not) binding. Finally, this paper demonstrates that the bidirectional option contract can mitigate the effect of risk aversion on the retailer's order quantity, benefit both the retailer and supplier, and improve the performance of the supply chain. Numerical experiments are conducted to further confirm our results.","PeriodicalId":11254,"journal":{"name":"Discrete & Continuous Dynamical Systems - S","volume":"24 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84726192","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}

引用次数: 0

A KAM theorem for quasi-periodic non-twist mappings and its application 拟周期非扭转映射的一个KAM定理及其应用

Discrete & Continuous Dynamical Systems - S Pub Date : 2022-01-01 DOI: 10.3934/dcds.2022013

Zhi-Hong Ma, Junxiang Xu

引用次数: 2

Observer-based SMC for stochastic systems with disturbance driven by fractional Brownian motion 分数阶布朗运动扰动随机系统的基于观测器的SMC

Discrete & Continuous Dynamical Systems - S Pub Date : 2022-01-01 DOI: 10.3934/dcdss.2022027

Xin Meng, C. Gao, Baoping Jiang, H. Karimi

引用次数: 1

"Large" strange attractors in the unfolding of a heteroclinic attractor 异斜吸引子展开中的“大”奇异吸引子

Discrete & Continuous Dynamical Systems - S Pub Date : 2021-11-03 DOI: 10.3934/dcds.2021193

Alexandre A. P. Rodrigues

引用次数: 4

Exact controllability to eigensolutions of the bilinear heat equation on compact networks 紧网络上双线性热方程特征解的精确可控性

Discrete & Continuous Dynamical Systems - S Pub Date : 2021-11-03 DOI: 10.3934/dcdss.2022011

P. Cannarsa, Alessandro Duca, Cristina Urbani

引用次数: 5

A unified framework for optimal control of fractional in time subdiffusive semilinear PDEs 分数阶次扩散半线性偏微分方程最优控制的统一框架

Discrete & Continuous Dynamical Systems - S Pub Date : 2021-10-06 DOI: 10.3934/dcdss.2022012

Harbir Antil, C. Gal, M. Warma

{"title":"A unified framework for optimal control of fractional in time subdiffusive semilinear PDEs","authors":"Harbir Antil, C. Gal, M. Warma","doi":"10.3934/dcdss.2022012","DOIUrl":"https://doi.org/10.3934/dcdss.2022012","url":null,"abstract":"We consider optimal control of fractional in time (subdiffusive, i.e., for <inline-formula><tex-math id=\"M1\">begin{document}$ 0<gamma <1 $end{document}</tex-math></inline-formula>) semilinear parabolic PDEs associated with various notions of diffusion operators in an unifying fashion. Under general assumptions on the nonlinearity we <inline-formula><tex-math id=\"M2\">begin{document}$mathsf{first;show}$end{document}</tex-math></inline-formula> the existence and regularity of solutions to the forward and the associated <inline-formula><tex-math id=\"M3\">begin{document}$mathsf{backward;(adjoint)}$end{document}</tex-math></inline-formula> problems. In the second part, we prove existence of optimal <inline-formula><tex-math id=\"M4\">begin{document}$mathsf{controls }$end{document}</tex-math></inline-formula> and characterize the associated <inline-formula><tex-math id=\"M5\">begin{document}$mathsf{first;order}$end{document}</tex-math></inline-formula> optimality conditions. Several examples involving fractional in time (and some fractional in space diffusion) equations are described in detail. The most challenging obstacle we overcome is the failure of the semigroup property for the semilinear problem in any scaling of (frequency-domain) Hilbert spaces.","PeriodicalId":11254,"journal":{"name":"Discrete & Continuous Dynamical Systems - S","volume":"33 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87914025","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}

引用次数: 3

Rigidity, weak mixing, and recurrence in abelian groups 阿贝尔群中的刚性、弱混合和递归

Discrete & Continuous Dynamical Systems - S Pub Date : 2021-10-05 DOI: 10.3934/dcds.2021168

Ethan Ackelsberg

{"title":"Rigidity, weak mixing, and recurrence in abelian groups","authors":"Ethan Ackelsberg","doi":"10.3934/dcds.2021168","DOIUrl":"https://doi.org/10.3934/dcds.2021168","url":null,"abstract":"The focus of this paper is the phenomenon of rigidity for measure-preserving actions of countable discrete abelian groups and its interactions with weak mixing and recurrence. We prove that results about <inline-formula><tex-math id=\"M1\">begin{document}$ mathbb{Z} $end{document}</tex-math></inline-formula>-actions extend to this setting:1. If <inline-formula><tex-math id=\"M2\">begin{document}$ (a_n) $end{document}</tex-math></inline-formula> is a rigidity sequence for an ergodic measure-preserving system, then it is a rigidity sequence for some weakly mixing system.2. There exists a sequence <inline-formula><tex-math id=\"M3\">begin{document}$ (r_n) $end{document}</tex-math></inline-formula> such that every translate is both a rigidity sequence and a set of recurrence.The first of these results was shown for <inline-formula><tex-math id=\"M4\">begin{document}$ mathbb{Z} $end{document}</tex-math></inline-formula>-actions by Adams [<xref ref-type=\"bibr\" rid=\"b1\">1</xref>], Fayad and Thouvenot [<xref ref-type=\"bibr\" rid=\"b20\">20</xref>], and Badea and Grivaux [<xref ref-type=\"bibr\" rid=\"b2\">2</xref>]. The latter was established in <inline-formula><tex-math id=\"M5\">begin{document}$ mathbb{Z} $end{document}</tex-math></inline-formula> by Griesmer [<xref ref-type=\"bibr\" rid=\"b23\">23</xref>]. While techniques for handling <inline-formula><tex-math id=\"M6\">begin{document}$ mathbb{Z} $end{document}</tex-math></inline-formula>-actions play a key role in our proofs, additional ideas must be introduced for dealing with groups with multiple generators.As an application of our results, we give several new constructions of rigidity sequences in torsion groups. Some of these are parallel to examples of rigidity sequences in <inline-formula><tex-math id=\"M7\">begin{document}$ mathbb{Z} $end{document}</tex-math></inline-formula>, while others exhibit new phenomena.","PeriodicalId":11254,"journal":{"name":"Discrete & Continuous Dynamical Systems - S","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80737913","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}

引用次数: 0