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A study on the approximate controllability results of fractional stochastic integro-differential inclusion systems via sectorial operators 用扇区算子研究分数阶随机积分-微分包含系统的近似可控性结果
IF 1.6
International Journal of Optimization and Control: Theories and Applications Pub Date : 2023-07-19 DOI: 10.11121/ijocta.2023.1348
K. Kalimuthu, Kothandapani Muthuvel
{"title":"A study on the approximate controllability results of fractional stochastic integro-differential inclusion systems via sectorial operators","authors":"K. Kalimuthu, Kothandapani Muthuvel","doi":"10.11121/ijocta.2023.1348","DOIUrl":"https://doi.org/10.11121/ijocta.2023.1348","url":null,"abstract":"The study deals with the findings of the outcome of the approximate controllability results of inclusion type fractional stochastic system in Banach space with the order of the fractional system varrho in (1,2). At first, we implement Bohnenblust-Karlin's fixed point technique to deduce the required conditions on which the fractional system with inital conditions is approximately controllable, and there by, we postulate the sufficient conditions for extending the obtained results to the system with nonlocal conditions.","PeriodicalId":37369,"journal":{"name":"International Journal of Optimization and Control: Theories and Applications","volume":"52 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75964217","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
Single-drone energy efficient coverage path planning with multiple charging stations for surveillance 单无人机节能覆盖路径规划与多个充电站进行监控
IF 1.6
International Journal of Optimization and Control: Theories and Applications Pub Date : 2023-07-13 DOI: 10.11121/ijocta.2023.1332
Atalay Celik, Enes Ustaomer, S. I. Satoglu
{"title":"Single-drone energy efficient coverage path planning with multiple charging stations for surveillance","authors":"Atalay Celik, Enes Ustaomer, S. I. Satoglu","doi":"10.11121/ijocta.2023.1332","DOIUrl":"https://doi.org/10.11121/ijocta.2023.1332","url":null,"abstract":"Drones have started to be used for surveillance within the cities, visually scanning the predefined zones, quickly detecting abnormal states such as fires, accidents, and pollution, or assessing the disaster zones. Coverage Path Planning (CPP) is a problem that aims to determine the most suitable path or motion plan for a vehicle to cover the entire desired area in the task. So, this paper proposes a novel two-dimensional coverage path planning (CPP) mathematical model with the fact that a single drone may need to be recharged within its route based on its energy consumption, and the obstacles must be avoided while constructing the route. Our study aims to create realistic routes for drones by considering multiple charging stations and obstacles for surveillance. We tested the model for a grid example based on the scenarios obtained by changing the layout, the number of obstacles and recharging stations, and area size using the Python Gurobi Optimization library. As a contribution, we analyzed the impact of the number of existing obstacles and recharging stations, the size and layout of the area to be covered on total energy consumption, and the total solution time of CPP in our study for the first time in the literature, through a detailed Scenario Analysis. Results show that the map size and the number of covered cells affect the total energy consumption, but different layouts with shuffled cells are not effective.  The area size to be covered affects the total computation time, significantly. As the number of obstacles and recharging stations increases, the computation time decreases up to a certain limit, then stabilizes.","PeriodicalId":37369,"journal":{"name":"International Journal of Optimization and Control: Theories and Applications","volume":"67 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84011231","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
Optimal C-type filter design for wireless power transfer system by using support vector machines 基于支持向量机的无线电力传输系统c型滤波器优化设计
IF 1.6
International Journal of Optimization and Control: Theories and Applications Pub Date : 2023-07-09 DOI: 10.11121/ijocta.2023.1354
Haris Çalgan
{"title":"Optimal C-type filter design for wireless power transfer system by using support vector machines","authors":"Haris Çalgan","doi":"10.11121/ijocta.2023.1354","DOIUrl":"https://doi.org/10.11121/ijocta.2023.1354","url":null,"abstract":"The rapid increase in the number of Electrical Vehicles (EVs) will bring difficulties in the management of charging process and pose serious grid problems at low voltage levels. Particularly, with employment of wireless power transfer (WPT) system in a charging station, harmonic interference will increase. The main reason of that poor power quality lies on high frequency square wave output of transmitter side of WPT. In this study, a support vector machine (SVM) is proposed to design an optimal C-type passive filter in order to mitigate voltage and current total harmonic distortions (THD) of WPT system. Hereby, SVM-based model is constructed which consists of THD indices and power factor (PF) as outputs whereas filter parameters are inputs. The main aim of optimization process is minimization of distortions and correction of PF while searching the filter parameters. Particle swarm optimization (PSO) algorithm is employed to find the optimal filter parameters. To show the efficiency of proposed method, simulation studies are carried out on Matlab®/SimulinkTM environment. It is observed that voltage total harmonic distortion (THDv) and current total harmonic distortion (THDi) are calculated as 1.03%, 2.23%, respectively, and the power factor is improved to 0.995% when the designed C-type filter is utilized.","PeriodicalId":37369,"journal":{"name":"International Journal of Optimization and Control: Theories and Applications","volume":"6 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89081755","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
Adaptive MIMO fuzzy PID controller based on peak observer 基于峰值观测器的自适应MIMO模糊PID控制器
IF 1.6
International Journal of Optimization and Control: Theories and Applications Pub Date : 2023-07-09 DOI: 10.11121/ijocta.2023.1247
Kemal Uçak, Beyza Nur Arslantürk
{"title":"Adaptive MIMO fuzzy PID controller based on peak observer","authors":"Kemal Uçak, Beyza Nur Arslantürk","doi":"10.11121/ijocta.2023.1247","DOIUrl":"https://doi.org/10.11121/ijocta.2023.1247","url":null,"abstract":"In this paper, a novel peak observer based adaptive multi-input multi-output (MIMO) fuzzy proportional-integral-derivative (PID) controller has been introduced for MIMO time delay systems. The adaptation mechanism proposed by Qiao and Mizumoto [1] for single-input single-output (SISO) systems has been enhanced for MIMO system adaptive control. The tracking, stabilization and disturbance rejection performances of the proposed adaptation mechanism have been evaluated for MIMO systems by comparing with non-adaptive fuzzy PID and classical PID controllers. The obtained results indicate that the introduced adjustment mechanism for MIMO fuzzy PID controller can be successfully deployed for MIMO time delay systems.","PeriodicalId":37369,"journal":{"name":"International Journal of Optimization and Control: Theories and Applications","volume":"18 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78569762","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
On the regional boundary observability of semilinear time-fractional systems with Caputo derivative 具有Caputo导数的半线性时间分数系统的区域边界可观测性
IF 1.6
International Journal of Optimization and Control: Theories and Applications Pub Date : 2023-07-09 DOI: 10.11121/ijocta.2023.1286
Khalid Zguaid, F. E. El Alaoui
{"title":"On the regional boundary observability of semilinear time-fractional systems with Caputo derivative","authors":"Khalid Zguaid, F. E. El Alaoui","doi":"10.11121/ijocta.2023.1286","DOIUrl":"https://doi.org/10.11121/ijocta.2023.1286","url":null,"abstract":"This paper considers the regional boundary observability problem for semilinear time-fractional systems. The main objective is to reconstruct the initial state on a subregion of the boundary of the evolution domain of the considered fractional system using the output equation. We proceed by providing a link between the regional boundary observability of the considered semilinear system on the desired boundary subregion, and the regional observability of its linear part, in a well chosen subregion of the evolution domain. By adding some assumptions on the nonlinear term appearing in the considered system, we give the main theorem that allows us to reconstruct the initial state in the well-chosen subregion using the Hilbert uniqueness method (HUM). From it, we recover the initial state on the boundary subregion. Finally, we provide a numerical example that backs up the theoretical results presented in this paper with a satisfying reconstruction error.","PeriodicalId":37369,"journal":{"name":"International Journal of Optimization and Control: Theories and Applications","volume":"43 1 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85538022","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 new approach on approximate controllability of Sobolev-type Hilfer fractional differential equations sobolev型Hilfer分数阶微分方程近似可控性的新方法
IF 1.6
International Journal of Optimization and Control: Theories and Applications Pub Date : 2023-01-31 DOI: 10.11121/ijocta.2023.1256
Ritika Pandey, Chandan Shukla, A. Shukla, A. Upadhyay, A. Singh
{"title":"A new approach on approximate controllability of Sobolev-type Hilfer fractional differential equations","authors":"Ritika Pandey, Chandan Shukla, A. Shukla, A. Upadhyay, A. Singh","doi":"10.11121/ijocta.2023.1256","DOIUrl":"https://doi.org/10.11121/ijocta.2023.1256","url":null,"abstract":"The approximate controllability of Sobolev-type Hilfer fractional control differential systems is the main emphasis of this paper. We use fractional calculus, Gronwall's inequality, semigroup theory, and the Cauchy sequence to examine the main results for the proposed system. The application of well-known fixed point theorem methodologies is avoided in this paper. Finally, a fractional heat equation is discussed as an example.","PeriodicalId":37369,"journal":{"name":"International Journal of Optimization and Control: Theories and Applications","volume":"7 5","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72482607","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: 2
Analysing the market for digital payments in India using the predator-prey mode 利用捕食者-猎物模式分析印度的数字支付市场
IF 1.6
International Journal of Optimization and Control: Theories and Applications Pub Date : 2023-01-29 DOI: 10.11121/ijocta.2023.1306
Vijith Raghavendra, P. Veeresha
{"title":"Analysing the market for digital payments in India using the predator-prey mode","authors":"Vijith Raghavendra, P. Veeresha","doi":"10.11121/ijocta.2023.1306","DOIUrl":"https://doi.org/10.11121/ijocta.2023.1306","url":null,"abstract":"Technology has revolutionized the way transactions are carried out in economies across the world. India too has witnessed the introduction of numerous modes of electronic payment in the past couple of decades, including e-banking services, National Electronic Fund Transfer (NEFT), Real Time Gross Settlement (RTGS) and most recently the Unified Payments Interface (UPI). While other payment mechanisms have witnessed a gradual and consistent increase in the volume of transactions, UPI has witnessed an exponential increase in usage and is almost on par with pre-existing technologies in the volume of transactions. This study aims to employ a modified Lotka-Volterra (LV) equations (also known as the Predator-Prey Model) to study the competition among different payment mechanisms. The market share of each platform is estimated using the LV equations and combined with the estimates of the total market size obtained using the Auto-Regressive Integrated Moving Average (ARIMA) technique. The result of the model predicts that UPI will eventually overtake the conventional digital payment mechanism in terms of market share as well as volume. Thus, the model indicates a scenario where both payment mechanisms would coexist with UPI being the dominant (or more preferred) mode of payment.","PeriodicalId":37369,"journal":{"name":"International Journal of Optimization and Control: Theories and Applications","volume":"28 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84253838","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: 4
M-truncated soliton solutions of the fractional (4+1)-dimensional Fokas equation 分数(4+1)维Fokas方程的m截断孤子解
IF 1.6
International Journal of Optimization and Control: Theories and Applications Pub Date : 2023-01-29 DOI: 10.11121/ijocta.2023.1321
N. Ozdemir
{"title":"M-truncated soliton solutions of the fractional (4+1)-dimensional Fokas equation","authors":"N. Ozdemir","doi":"10.11121/ijocta.2023.1321","DOIUrl":"https://doi.org/10.11121/ijocta.2023.1321","url":null,"abstract":"This article aims to examine M-truncated soliton solutions of the fractional (4+1)-dimensional Fokas equation (FE), which is a generalization of the Kadomtsev-Petviashvili (KP) and Davey-Stewartson (DS) equations. The fractional (4+1)$-dimensional Fokas equation with the M-truncated derivatives is also studied first time in this study. The generalized projective Riccati equations method (GPREM) is successfully implemented. In the application of the presented method, a suitable fractional wave transformation is chosen to convert the proposed model into a nonlinear ordinary differential equation. Then, a linear equation system is acquired utilizing the GPREM, the system is solved, and the suitable solution sets are obtained. Dark and singular soliton solutions are successfully derived. Under the selection of appropriate values of the parameters, 2D, 3D, and contour plots are also displayed for some solutions.","PeriodicalId":37369,"journal":{"name":"International Journal of Optimization and Control: Theories and Applications","volume":"4 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87967535","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
The null boundary controllability for the Mullins equation with periodic boundary conditions 具有周期边界条件的Mullins方程的零边界可控性
IF 1.6
International Journal of Optimization and Control: Theories and Applications Pub Date : 2023-01-29 DOI: 10.11121/ijocta.2023.1283
I. Oner
{"title":"The null boundary controllability for the Mullins equation with periodic boundary conditions","authors":"I. Oner","doi":"10.11121/ijocta.2023.1283","DOIUrl":"https://doi.org/10.11121/ijocta.2023.1283","url":null,"abstract":"In this paper, we study the null controllability of the Mullins equation with the control acting on the periodic boundary. Firstly, using the duality relation between controllability and observability, we express the controllability condition in terms of the solution of the backward adjoint system. After showing the existence and uniqueness of the solution of the adjoint system, we determine the admissible initial data class since the system is not always controllable under these boundary conditions. Finally, using this spectral analysis, we reduce the null controllability problem to the moment problem and solve the problem on this admissible initial class.","PeriodicalId":37369,"journal":{"name":"International Journal of Optimization and Control: Theories and Applications","volume":"49 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89813515","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: 2
Stability tests and solution estimates for non-linear differential equations 非线性微分方程的稳定性检验和解估计
IF 1.6
International Journal of Optimization and Control: Theories and Applications Pub Date : 2023-01-29 DOI: 10.11121/ijocta.2023.1251
O. Tunç
{"title":"Stability tests and solution estimates for non-linear differential equations","authors":"O. Tunç","doi":"10.11121/ijocta.2023.1251","DOIUrl":"https://doi.org/10.11121/ijocta.2023.1251","url":null,"abstract":"This article deals with certain systems of delay differential equations (DDEs) and a system of ordinary differential equations (ODEs). Here, five new theorems are proved on the fundamental properties of solutions of these systems. The results on the properties of solutions consist of sufficient conditions and they dealt with uniformly asymptotically stability (UAS), instability and integrability of solutions of unperturbed systems of DDEs, boundedness of solutions of a perturbed system of DDEs at infinity and exponentially stability (ES) of solutions of a system of nonlinear ODEs. Here, the techniques of proofs depend upon the Lyapunov- Krasovski? functional (LKF) method and Lyapunov function (LF) method. For illustrations, in particular cases, four examples are constructed as applications. Some results of this paper are given at first time in the literature, and the other results generalize and improve some related ones in the literature.","PeriodicalId":37369,"journal":{"name":"International Journal of Optimization and Control: Theories and Applications","volume":"74 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89821756","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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