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Advances in Differential Equations and Control Processes最新文献

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EXISTENCE AND OPTIMAL CONTROL ANALYSIS OF ACID-MEDIATED TUMOR INVASION 酸介导肿瘤侵袭的存在性及最优控制分析
IF 0.1
Advances in Differential Equations and Control Processes Pub Date : 2023-02-06 DOI: 10.17654/0974324323004
P. T. Sowndarrajan
{"title":"EXISTENCE AND OPTIMAL CONTROL ANALYSIS OF ACID-MEDIATED TUMOR INVASION","authors":"P. T. Sowndarrajan","doi":"10.17654/0974324323004","DOIUrl":"https://doi.org/10.17654/0974324323004","url":null,"abstract":"","PeriodicalId":41162,"journal":{"name":"Advances in Differential Equations and Control Processes","volume":" ","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43123267","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
AN EFFECTIVE SHOOTING PIECEWISE ANALYTICAL INTEGRATION METHOD FOR SINGULAR PERTURBATION TWO-POINT BOUNDARY VALUE PROBLEMS 奇异摄动两点边值问题的一种有效的分段解析积分方法
IF 0.1
Advances in Differential Equations and Control Processes Pub Date : 2023-01-09 DOI: 10.17654/0974324323003
H. S. Al-Juaydi, E. El-Zahar
{"title":"AN EFFECTIVE SHOOTING PIECEWISE ANALYTICAL INTEGRATION METHOD FOR SINGULAR PERTURBATION TWO-POINT BOUNDARY VALUE PROBLEMS","authors":"H. S. Al-Juaydi, E. El-Zahar","doi":"10.17654/0974324323003","DOIUrl":"https://doi.org/10.17654/0974324323003","url":null,"abstract":"","PeriodicalId":41162,"journal":{"name":"Advances in Differential Equations and Control Processes","volume":" ","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47696501","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
CHEBYSHEV WAVELETS BASED TECHNIQUE FOR NUMERICAL DIFFERENTIATION 基于切比雪夫小波的数值微分技术
IF 0.1
Advances in Differential Equations and Control Processes Pub Date : 2023-01-06 DOI: 10.17654/0974324323002
I. Singh, Preeti
{"title":"CHEBYSHEV WAVELETS BASED TECHNIQUE FOR NUMERICAL DIFFERENTIATION","authors":"I. Singh, Preeti","doi":"10.17654/0974324323002","DOIUrl":"https://doi.org/10.17654/0974324323002","url":null,"abstract":"","PeriodicalId":41162,"journal":{"name":"Advances in Differential Equations and Control Processes","volume":" ","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-01-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43571440","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
TWO-STEP ORDER STRONG METHOD FOR APPROXIMATING STOCHASTIC DIFFERENTIAL EQUATIONS 近似随机微分方程的两步阶强方法
IF 0.1
Advances in Differential Equations and Control Processes Pub Date : 2023-01-04 DOI: 10.17654/0974324323001
Yazid Alhojilan
{"title":"TWO-STEP ORDER STRONG METHOD FOR APPROXIMATING STOCHASTIC DIFFERENTIAL EQUATIONS","authors":"Yazid Alhojilan","doi":"10.17654/0974324323001","DOIUrl":"https://doi.org/10.17654/0974324323001","url":null,"abstract":"","PeriodicalId":41162,"journal":{"name":"Advances in Differential Equations and Control Processes","volume":" ","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45927464","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 Time-optimal Problem of Stopping a Two-link Pendulum on a Movable Mount 可动座上双连杆摆的停车时间最优问题
IF 0.1
Advances in Differential Equations and Control Processes Pub Date : 2023-01-01 DOI: 10.21638/11701/spbu35.2023.204
A. P. Potapov, A. Galyaev
{"title":"A Time-optimal Problem of Stopping a Two-link Pendulum on a Movable Mount","authors":"A. P. Potapov, A. Galyaev","doi":"10.21638/11701/spbu35.2023.204","DOIUrl":"https://doi.org/10.21638/11701/spbu35.2023.204","url":null,"abstract":"We consider a time-optimal problem of stopping a two-link pendulum on a movable mount. Given nonlinear system with the lack of and limitation on the control resource is linearized in the neighborhood of a stable equilibrium position. For a linearized system the Pontryagin maximum principle is used and the optimal control law obtained. To estimate parameters of the law basing on finding out an orthogonal subspace was an algorithm developed for constructing a time-optimal system control. A software module has been developed in the Matlab environment with the help of which a comparison of the dynamics of linear and nonlinear systems with the obtained control law was made.","PeriodicalId":41162,"journal":{"name":"Advances in Differential Equations and Control Processes","volume":"91 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90342767","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
Model Map and Multistability for a Two Predator-One Prey System 两个捕食者-一个猎物系统的模型映射和多稳定性
IF 0.1
Advances in Differential Equations and Control Processes Pub Date : 2023-01-01 DOI: 10.21638/11701/spbu35.2023.102
{"title":"Model Map and Multistability for a Two Predator-One Prey System","authors":"","doi":"10.21638/11701/spbu35.2023.102","DOIUrl":"https://doi.org/10.21638/11701/spbu35.2023.102","url":null,"abstract":"This work contains a review of some important results on a known two predators - one prey system. We also add essential new numerical results on multiple attractors. We consider the case when the predators coexist. We distinguish two possibilities. The first is when the dynamics is well described by the dynamics of a one dimensional map. We discuss the main behaviour of this map. For small parameter regions the map can have two attractors but no more than two. We give a numerical example, when these two attractors exist in the original three-dimensional model. The second case is when this model map is not working and something like spiral chaos often occurs. We give numerical results showing that in this case there can be at least four different attractors and discuss the behaviour of these.","PeriodicalId":41162,"journal":{"name":"Advances in Differential Equations and Control Processes","volume":"36 2 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90458833","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
Dynamics of Three Coupled Generators of Quasi-periodic Oscillations 准周期振荡三个耦合发生器的动力学
IF 0.1
Advances in Differential Equations and Control Processes Pub Date : 2023-01-01 DOI: 10.21638/11701/spbu35.2023.105
A. P. Kuznetsov, Y. Sedova, N. Stankevich
{"title":"Dynamics of Three Coupled Generators of Quasi-periodic Oscillations","authors":"A. P. Kuznetsov, Y. Sedova, N. Stankevich","doi":"10.21638/11701/spbu35.2023.105","DOIUrl":"https://doi.org/10.21638/11701/spbu35.2023.105","url":null,"abstract":"The dynamics of three coupled generators capable of demonstrating autonomous quasi-periodic oscillations is studied. The complex structure of the Lyapunov charts of the system is discussed, which reveals invariant tori of different dimensions, quasi-periodic bifurcations of tori, and Arnold’s resonant web based on tori of different dimensions. Cases of different types of tuning of individual generators (periodic oscillations, quasi-periodic oscillations) are considered. A detailed numerical bifurcation analysis of the equilibrium state and limit cycles, which form a complex picture of dynamic regimes, is carried out.Common features and differences compared to the case of three coupled van der Pol oscillators are discussed.","PeriodicalId":41162,"journal":{"name":"Advances in Differential Equations and Control Processes","volume":"13 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84855095","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
Asymptotic Stability Investigation of the Zero Solution for a Class of Nonlinear Nonstationary Systems by the Averaging Method 用平均法研究一类非线性非平稳系统零解的渐近稳定性
IF 0.1
Advances in Differential Equations and Control Processes Pub Date : 2023-01-01 DOI: 10.21638/11701/spbu35.2023.202
Alexander Yur'evich Aleksandrov
{"title":"Asymptotic Stability Investigation of the Zero Solution for a Class of Nonlinear Nonstationary Systems by the Averaging Method","authors":"Alexander Yur'evich Aleksandrov","doi":"10.21638/11701/spbu35.2023.202","DOIUrl":"https://doi.org/10.21638/11701/spbu35.2023.202","url":null,"abstract":"A system of nonlinear differential equations is considered that describes the interaction of two coupled subsystems, one of these subsystems is linear, and the other is nonlinear and homogeneous with an order of homogeneity greater than one. It is assumed that this system is affected by nonstationary perturbations with zero mean values. Using the averaging method, sufficient conditions are determined under which perturbations do not disturb the asymptotic stability of the zero solution. The derivation of these conditions is based on the use of a special construction of the nonstationary Lyapunov function which takes into account the structure of the acting perturbations. In addition, we consider the case where there is a constant delay in the right-hand sides of the system. An original approach to the construction of the Lyapunov-Krasovskii functional for such a system is proposed. Using this functional, conditions are found that guarantee the preservation of the asymptotic stability for any positive delay.","PeriodicalId":41162,"journal":{"name":"Advances in Differential Equations and Control Processes","volume":"41 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84972776","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
Features of the Expansion of Multiple Stochastic Stratonovich Integrals Using Walsh and Haar Functions 用Walsh和Haar函数展开多重随机Stratonovich积分的特征
IF 0.1
Advances in Differential Equations and Control Processes Pub Date : 2023-01-01 DOI: 10.21638/11701/spbu35.2023.109
K. Rybakov
{"title":"Features of the Expansion of Multiple Stochastic Stratonovich Integrals Using Walsh and Haar Functions","authors":"K. Rybakov","doi":"10.21638/11701/spbu35.2023.109","DOIUrl":"https://doi.org/10.21638/11701/spbu35.2023.109","url":null,"abstract":"The problem of the root-mean-square convergence for approximations of multiple stochastic Stratonovich integrals based on the generalized multiple Fourier series method using Walsh and Haar functions is considered. It is shown that when they are chosen to expand multiple stochastic integrals, the proof of the root-mean-square convergence of a subsequence of series partial sums, which is formed in a way that is quite natural for these functions, does not require the explicit fulfillment of any additional conditions, except for the condition of the existence of the multiple stochastic Stratonovich integral.","PeriodicalId":41162,"journal":{"name":"Advances in Differential Equations and Control Processes","volume":"61 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84661310","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
Networked Iterative Learning Control Under Changing Operating Mode of Agents and Configuration of Information Network 智能体运行方式变化与信息网络配置下的网络迭代学习控制
IF 0.1
Advances in Differential Equations and Control Processes Pub Date : 2023-01-01 DOI: 10.21638/11701/spbu35.2023.104
{"title":"Networked Iterative Learning Control Under Changing Operating Mode of Agents and Configuration of Information Network","authors":"","doi":"10.21638/11701/spbu35.2023.104","DOIUrl":"https://doi.org/10.21638/11701/spbu35.2023.104","url":null,"abstract":"The paper considers the iterative learning control (ILC) design problem of a network system under changing operating mode of subsystems (agents) and configuration of information network. The network system consists of identical agents, which are discrete linear dynamic plants operating in a repetitive mode. The operating modes of agents depend on their parameters and the reference trajectory, which must be tracked with required accuracy at output of system. The configurations of information network define the group of functioning agents and the type of information exchange between them. The mode and the configuration change takes place in accordance with certain external rules. The control design is based on the divergent method of the vector Lyapunov function. For reducing the transient error caused by the mode change and the connection of new agents, a special rule for switching the ILC law is proposed. The results of modeling the obtained control law for a group of manipulators with flexible link are presented.","PeriodicalId":41162,"journal":{"name":"Advances in Differential Equations and Control Processes","volume":"7 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87655987","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
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