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60 articles for “Discrete”
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Reaching Conditions for Discrete-time Sliding Mode Control: Analysis and Design
Abstract: Sliding mode control (SMC) is a robust control method widely used in engineering due to its ability to handle uncertainties and disturbances effectively. In discrete-time sliding mode control (DSMC), system trajectories are constrained to sliding surfaces in the state space, leading to improved performance and stability. This paper provides an overview of DSMC, focusing on its applications, advantages, and limitations. It discusses the use of DSMC in various engineering fields …
Published in International Journal of Electrical Machine Analysis and Design · Vol. 2, Issue 1, 2024 · pp. 7–14 Read article
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Intuitionistic Fuzzy Hypergraph Laplacians and Dominating Transversals for Resilient Discrete Network Design
Abstract: This manuscript develops a discrete mathematical framework for resilience analysis on networks whose interactions are polyadic, uncertain, and partially conflicting. Classical graphs compress multi-way coordination into pairwise edges, while ordinary fuzzy graphs often ignore the non-membership information that becomes critical in emergency logistics, infrastructure interdependence, and cyberphysical coordination. We therefore formulate an intuitionistic fuzzy hypergraph in which each vertex hyperedge incidence carries membership, non-membership, and hesitation, and we construct a …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 13, Issue 2, 2026 · pp. 15–21 Read article
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Spectral Intuitionistic Fuzzy Hypergraph Operators and Dominance Kernels for Resilient Discrete Network Design
Abstract: A new discrete-mathematical framework is developed for resilient network design on intuitionistic fuzzy hypergraphs, where uncertainty is explicitly represented through membership, non-membership, and hesitation degrees associated with both vertices and hyperedges. These three components are systematically integrated into an effective incidence operator that captures the underlying uncertain relationships within complex hypergraph structures. Based on this operator, both un-normalised and normalized Laplacian matrices are formulated to characterize the spectral properties and …
Published in Recent Trends in Mathematics · Vol. 3, Issue 2, 2026 · pp. 41–48 Read article
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Study of Algebraic Structures in Discrete Mathematics and Its Applications
Abstract: Algebraic structures such as groups, rings, fields, semi groups, and lattices form the foundational framework of discrete mathematics. These structures are defined by specific sets and operations that follow algebraic laws, enabling a systematic approach to problem-solving in various domains. This paper explores the theoretical principles of these algebraic systems and highlights their vital role in computer science, cryptography, automata theory, coding theory, and software engineering. By examining their properties …
Published in Emerging Trends in Symmetry · Vol. 1, Issue 1, 2025 · pp. 35–40 Read article
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Semiring-Weighted Automata and Recursive Path Counting for Multi-State Reliability in Discrete Infrastructures
Abstract: Multi-state infrastructures such as communication backbones, microgrids, warehouse routing systems, and sensor-actuator pipelines evolve through discrete event sequences rather than through a single binary "working/failed" transition. This paper develops a semiring-weighted automata framework for reliability analysis in which state changes, repair actions, and degraded operating modes are represented by weighted transitions on a finite automaton. A path valuation is defined over an additively idempotent reliability semiring and extended to a …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 13, Issue 2, 2026 · pp. 30–36 Read article
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Comparative of Encryption-Decryption Performance of (Binary, Gray- Scale, Color) Images Using Discrete Fractional Fourier Transform (DFRFT)
Abstract: The Discrete Fractional Fourier transform (DFRFT) provides an effective model of image encryption by further developing the classic Fourier transform by adding fractional orders, which increase the degrees of freedom. Owing to the omnipresence of digital media in many industries like education, healthcare, and entertainment, the mobility of visual data has become a significant issue to keep confidential. Images form one of the main ways of exchanging information and, therefore, …
Published in Research & Reviews : Journal of Physics · Vol. 15, Issue 1, 2026 · pp. 54–65 Read article
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Real-Time Edge Detection Camera Module Using Discrete Taylor Transform and Heat Equation (PDE): An Applied Mathematical Approach
Abstract: In modern digital signal processing, the capability for denoising and smoothing in real time is very important in scientific, engineering, and industrial applications. This paper presents an efficient hybrid framework that merges two mathematically sound methods, namely, DTT and PDE defined as the Heat Equation, to robustly denoise a signal with minimal distortion. The model addresses one of the most challenging tasks in signal restoration, which maintains the fidelity of …
Published in Current Trends in Signal Processing · Vol. 16, Issue 2, 2026 Read article
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Image Compression via Non-separable Discrete Fractional Fourier Transform
Abstract: The main idea behind image compression is to reduce the bandwidth for transmission and required space for storage. Thus, image compression is of great importance. In this paper we present the image compression technique using Non-Separable Discrete Fractional Fourier Transform (NSDFrFT). Numerical simulation results suggested that image compression method using NSDFrFT as transform technique gives better performance for images when compression ratio is high in comparison to DFrFT and JPEG. …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 2, Issue 3, 2015 · pp. 1–9 Read article
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Evaluation of Emergency Response Plans in Industrial Environments Using Simulation Techniques
Abstract: Industrial facilities, particularly those in the chemical, manufacturing, and energy sectors, face significant hazards due to their complex operations and the handling of hazardous materials. Ensuring the safety of workers and minimizing the impact of incidents require robust and effective emergency response plans (ERPs). Traditional evaluation methods, such as drills and tabletop exercises, often fall short in replicating the complexities of real-world emergencies. These methods may lack the realism needed …
Published in Journal of Industrial Safety Engineering · Vol. 11, Issue 3, 2024 · pp. 6–10 Read article
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Alzheimer disorders diagnosis system design using machine learning for EEG signal
Abstract: The diagnosis of Alzheimer's disorders (AD), a prevalent neurological disorder, can created by utilising a range of therapeutic methods, including the electroencephalogram (EEG), which has been especially successful in the past. The objective for this study is to develop a computer-aided diagnosis tool which may recognize AD from EEG data. The EEG information was cleaned up with a band-pass elliptic digital filter to remove any interference or disruptions. The filtered …
Published in Journal of Control & Instrumentation Read article
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Blind Image Quality Assessment using NSS Approach in the DCT Domain
Abstract: We have develop an efficient model for improving image quality using IQA and NSS based on blind image Quality Assessment. This algorithm does computation for the parameters which user expect at output. The certain extracted features approach depends on a simple Bayesian inference model to dipict image quality scores. The project features are based on statistic scenes of discrete cosine transform for images. The resultant parameters of the model are …
Published in Recent Trends in Electronics Communication Systems Read article
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Comparative Study of Change Detection Methods in High Resolution Images
Abstract: Natural phenomena including weathering, erosion, volcanic eruptions, and plate tectonics, as well as human activities like agriculture, deforestation, and urbanization, cause the Earth's surface to change continuously. In many different applications, such as environmental monitoring, disaster management, urban planning, agriculture and forestry, climate change studies, resource management, and infrastructure monitoring, it may be extremely beneficial to detect and track these changes. There are various algorithms and methods proposed by many …
Published in Journal of Remote Sensing & GIS · Vol. 15, Issue 2, 2024 · pp. 1–5 Read article
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The Poisson–Uma Distribution with Properties and Applications to Model Thunderstorm Events
Abstract: The discrete data available in any field of knowledge is influenced by several known and unknown factors and the factors which affect the discrete data are stochastic. The stochastic nature of discrete data is a challenge for statisticians to model and analyze with the existing discrete distributions. In the present paper, Poisson-Uma distribution, the Poisson compound of Uma distribution, has been proposed to model over-dispersed data of thunderstorm events. The …
Published in Research & Reviews : Journal of Statistics · Vol. 13, Issue 1, 2024 · pp. 20–30 Read article
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Continuous-Time Modelling of the Two-Input Fourth Order DC_DC Converter
Abstract: Two-input fourth-order integrated (TIFOI) converter is designed to process the power from two different sources Vg1 and Vg2. This converter facilitates regulation of dc-bus voltage and LVS current. In the power conversion process it performs bucking operation for first dc source Vg1, buck-boost operation for the second source Vg2. Power stage dynamics of the TIFOI converters is modeled using the state-space analysis. The system modelling plays an important role in …
Published in Journal of Control & Instrumentation Read article
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Numerical Investigation of Heat Transfer Enhancement in Micro-Channel Cooling Using Finite Element Analysis
Abstract: Due to the enormous heat fluxes emitted by modern electronic chips, there is a persistent need to enhance the efficiency of cooling systems. This study's focus is on optimizing heat transfer in micro-channel heat sinks that use liquid cooling. Geometric changes and the use of nano-fluids as coolants in place of water are performed to achieve this goal with little energy consumption. Numerical analysis of pipe micro-channel fluid flow and …
Published in International Journal of Energy and Thermal Applications · Vol. 1, Issue 1, 2023 · pp. 36–44 Read article
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Computer Vision Algorithm for Surface Defects Identification in TIG Welded Joints
Abstract: Quality monitoring of welded joints is still quite a tedious job for many industries. The surface defects on welded joints arises from the improper selection of various input parameters which further result bad quality weld. This paper highlight the application of a computer vision algorithm called discrete Fourier transformation approach for identification of surface defects present on TIG welded joints.
Published in Research and Reviews : Journal of Computational Biology Read article
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DEM Simulation of Macro and Micro-scale Behavior of Granular Materials during Loading and Unloading
Abstract: The present paper aims at comparing the simulated stress-strain behavior of granular materials quantitatively with the experiment and exploring the evolution of the micro-scale behaviors during loading and unloading using the discrete element method (DEM). A numerical sample consisting of 9826 randomly generated spheres similar to the experiment was prepared. The numerically prepared isotropic sample was subjected to loading and unloading under strain controlled condition. It is noticed that the …
Published in Journal of Geotechnical Engineering Read article
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Characterization of Al6082 and Magnesium AZ3lB Composite Produced by The Friction Stir Additive Manufacturing
Abstract: In this modern era, lighter and stronger materials are needed. This is especially true for materials needed in aerospace, robotics, light aircraft, defence, and transportation. When comparison to backbone products in order composite goods have a higher durability & stiffness-to-weight proportion .Most of the newer fabricating methods, called friction stir additive manufacturing (FSAM), uses solid-state drives friction stirring technology to produce bilayer structures by sequentially fusing discrete strata. In this …
Published in International Journal of Manufacturing and Production Engineering · Vol. 1, Issue 1, 2023 · pp. 1–14 Read article
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Numerical Simulation of Transient Free Convection in a Rectangular Cavity Filled with Porous Material Using Finite Element Formulations
Abstract: In this study, the finite element method is used to quantitatively explore transient free convection in porous cavities in order to understand the flow characteristics and heat conduction processes in the square cavities. In comparison to an uniform temperature gradient, the left wall is swiftly heated and the right wall is allowed to cool to a specific temperature. The horizontal walls are insulated on both sides. Dimensionless representations of the …
Published in Journal of Polymer & Composites · Vol. 11, Issue 8, 2023 · pp. 1–10 Read article
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Implementation of Adders Using Ternary Based Multiple Valued Logic
Abstract: In today’s world VLSI chips are widely used in various branches of Engineering like Voice and Data communication networks, Digital signal processing, Computers, Commercial Electronics, Automobiles, Medicine and many more. So, there have been major advances in IC technology which have both made feasible and generated great interest in electronic circuits which employ more than two discrete levels of signals such circuits called Multiple valued logic circuits, offer several potential …
Published in International Journal of VLSI Circuit Design & Technology · Vol. 1, Issue 2, 2023 · pp. 1–8 Read article