Article
Mathematics
Tong Yuan, Hongli Yang, Ivan Ganchev Ivanov
Summary: This paper investigates the reachability and observability of positive linear electrical circuits systems described by generalized fractional derivatives, presenting conditions for positivity of the systems and highlighting the role of the rho-Laplace transform of a Mittag-Leffler function. Illustrative electrical circuits systems are also presented at the end of the paper, along with conclusions.
Article
Mathematics
Johnny Henderson, Rodica Luca, Alexandru Tudorache
Summary: This study focuses on a system of Riemann-Liouville fractional differential equations with sequential derivatives, positive parameters, and sign-changing singular nonlinearities, subject to nonlocal coupled boundary conditions containing Riemann-Stieltjes integrals and various fractional derivatives. The main existence results are proven using the nonlinear alternative of Leray-Schauder type and Guo-Krasnosel'skii fixed point theorem.
Editorial Material
Engineering, Electrical & Electronic
JianBing Hu
Summary: The paper discusses the input-output finite-time stability of fractional-order positive switched systems and verifies the analysis with a counterexample.
CIRCUITS SYSTEMS AND SIGNAL PROCESSING
(2021)
Article
Operations Research & Management Science
Z. Bartosiewicz
Summary: Positive reachability of a positive system on a time scale means that system trajectories starting from the origin can reach all the points of the nonnegative cone. Positive stabilization of such a system means feedback stabilization that preserves positivity of the system. It is shown that if a positive (linear or nonlinear) continuous-time system is positively reachable from the origin, then it is positively feedback stabilizable. On the other hand, such implication does not hold in general for systems on discrete time scales, even linear ones, though it holds for one-dimensional systems. These differences between continuous-time and discrete-time systems follow from different characterizations of positive reachability for these two classes of systems.
Article
Mathematics, Applied
Yaohong Li, Jiafa Xu, Honglin Luo
Summary: This paper focuses on a class of Hadamard type fractional differential system involving Hadamard type fractional derivatives on an infinite interval. By utilizing the monotone iterative technique and Banach's contraction mapping principle, some explicit monotone iterative sequences for approximating the extreme positive solutions and the unique positive solution for the system are constructed.
Article
Mathematics, Applied
P. G. Surkov
Summary: This study focuses on a system of nonlinear fractional differential equations and introduces an algorithm for reconstructing an unknown external impact. The algorithm is resistant to informational noises and computational errors, and is based on regularization methods and constructions of guaranteed control theory. A numerical example is provided to illustrate the operation of the algorithm.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2021)
Article
Mathematics, Applied
Lingju Kong, Min Wang
Summary: This article primarily investigates the existence of positive solutions to a boundary value problem for a system of fractional differential equations, and also explores the resilience of a fractional compartment system to demonstrate the practical application of the findings.
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS
(2021)
Article
Engineering, Electrical & Electronic
Chao Rong, Bo Zhang
Summary: This article proposes a wireless power transfer (WPT) system with adjustable fractional order to address parameter fluctuations and misalignment of coils, which can affect system performance and output accuracy. The system provides constant current (CC) or constant voltage (CV) output and incorporates a frequency-tuning strategy based on the fractance element. Control strategies for the transmitter and receiver are designed, and an 864-W prototype is set up to validate the proposed strategies. The system demonstrates robustness to misalignment and parameter fluctuations, leading to improved efficiency and output accuracy.
IEEE TRANSACTIONS ON POWER ELECTRONICS
(2023)
Article
Mathematics, Applied
Ran Zhuo, Yan Li
Summary: We consider a nonlinear fractional elliptic system and employ two distinct methods to overcome the technical difficulty due to different fractional orders. We study the a priori estimates and existence of positive solutions.
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
(2022)
Article
Mathematics, Applied
Wei Jiang, Jia-Feng Liao
Summary: In this article, the authors study the fractional Schrodinger-Poisson system and prove the existence of lambda* > 0 such that the system has at least two positive solutions for any lambda in the range (0, lambda*), using variational methods and the mountain pass theorem. This result supplements and generalizes previous findings in the literature.
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS
(2023)
Article
Mathematics, Interdisciplinary Applications
Sabbavarapu Nageswara Rao, Manoj Singh, Ahmed Hussein Msmali, Abdullah Ali H. Ahmadini
Summary: This research examines the existence of a positive solution to a system of nonlinear semipositone Hadamard fractional BVP with the p-Laplacian operator. The associated Green's function of the boundary value problem and some of its properties are first obtained. Then, the existence results are established using the nonlinear alternative of the Leray-Schauder theorem and the Guo-Krasnosel'skii fixed-point theorem.
FRACTAL AND FRACTIONAL
(2023)
Article
Engineering, Electrical & Electronic
Baoxi Guo, Junli Liang, Guanyang Wang, Bo Tang, H. C. So
Summary: In this paper, the authors utilize CRLB and SR metrics to evaluate waveform design and propose an FP framework based on MIMO DFRC systems to solve nonconvex and nonlinear fractional programming problems. The proposed method transforms and simplifies complex functions and separates the summation-log-fraction function to optimize the design solution.
IEEE TRANSACTIONS ON SIGNAL PROCESSING
(2023)
Article
Mathematics, Interdisciplinary Applications
Xueqi Yao, Shouming Zhong
Summary: In this paper, robust stabilization for FO delayed nonlinear uncertain system with disturbance is achieved using EID with internal model for the first time, and applied to FMNNs. A FO state-feedback controller is designed and gains are derived by LMI. Comparisons between EID approach with and without internal model, as well as observer-based method, are provided to emphasize the effectiveness of internal model control, with examples for FMNNs and a practical example showing the accuracy of the proposed results.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Automation & Control Systems
Jitao Li, Zhenhua Wang, Yi Shen, Lihua Xie
Summary: This article discusses the security issues of cyber-physical systems against stealthy attacks and proposes a vulnerability characterization method based on zonotopic model. By quantifying the potential impact and measuring the level of vulnerabilities, the effectiveness of the proposed method is demonstrated through numerical simulations.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2022)
Article
Biology
Monika Shpokayte, Olivia McKissick, Xiaonan Guan, Bingbing Yuan, Bahar Rahsepar, Fernando R. Fernandez, Evan Ruesch, Stephanie L. Grella, John A. White, X. Shawn Liu, Steve Ramirez
Summary: The hippocampus contains distinct populations of neurons responsible for processing positive and negative memories, which can be distinguished by their molecular, cellular, and projection-specific features. Recent studies have revealed cellular heterogeneity along the hippocampal axis, with the ventral hippocampus playing a significant role in emotion and valence processing. By combining different techniques, the researchers visualized valence-specific memory engrams in the ventral hippocampus, and found that these cells display different transcriptional programs and DNA methylation landscapes compared to neutral memory cells. Additionally, they demonstrated that stimulating the ventral hippocampus terminals projecting to certain brain regions can drive preference and avoidance behaviors. This study highlights the importance of the ventral hippocampus in processing appetitive and aversive memories.
COMMUNICATIONS BIOLOGY
(2022)
Article
Engineering, Multidisciplinary
K. Rogowski
BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES
(2011)
Article
Automation & Control Systems
Tadeusz Kaczorek, Krzysztof Rogowski
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE
(2010)
Article
Multidisciplinary Sciences
Krzysztof Rogowski
Article
Computer Science, Information Systems
Ewa Piotrowska, Krzysztof Rogowski
Summary: This paper focuses on the theoretical and experimental analysis of an electric circuit with two elements described by fractional derivatives of different orders. The study shows that solutions for different derivative operators result in varying step responses for the circuit. By comparing the theoretical models with measurements of a real electrical system, it is evident that there are discrepancies between them.
Proceedings Paper
Automation & Control Systems
Krzysztof Rogowski
AUTOMATION 2019: PROGRESS IN AUTOMATION, ROBOTICS AND MEASUREMENT TECHNIQUES
(2020)
Proceedings Paper
Mathematics, Applied
Ewa Piotrowska, Krzysztof Rogowski
NON-INTEGER ORDER CALCULUS AND ITS APPLICATIONS
(2019)
Proceedings Paper
Automation & Control Systems
Krzysztof Rogowski
Proceedings Paper
Automation & Control Systems
Krzysztof Rogowski
CHALLENGES IN AUTOMATION, ROBOTICS AND MEASUREMENT TECHNIQUES
(2016)
