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Business optimization is becoming increasingly important because all business activities aim to maximize the profit and performance of products and services, under limited resources and appropriate constraints. Recent developments in…

Optimization and Control · Mathematics 2012-03-30 Xin-She Yang , Suash Deb , Simon Fong

We have employed Particle Swarm Optimization to address a stochastic variant of the Smallest Enclosing Sphere estimation problem. An efficient algorithm has been developed to ascertain the optimal center and radius of a sphere encompassing…

Optimization and Control · Mathematics 2024-01-01 Netzer Moriya

A scheme for stabilizing stochastic approximation iterates by adaptively scaling the step sizes is proposed and analyzed. This scheme leads to the same limiting differential equation as the original scheme and therefore has the same…

Probability · Mathematics 2010-07-28 Sameer Kamal

Swarm intelligence has becoming a powerful technique in solving design and scheduling tasks. Metaheuristic algorithms are an integrated part of this paradigm, and particle swarm optimization is often viewed as an important landmark. The…

Optimization and Control · Mathematics 2013-03-27 Xin-She Yang

In this paper we study the semi-global (approximate) state feedback stabilization of an infinite dimensional quantum stochastic system towards a target state. A discrete-time Markov chain on an infinite-dimensional Hilbert space is used to…

Optimization and Control · Mathematics 2011-03-22 Ram Somaraju , Mazyar Mirrahimi , Pierre Rouchon

The penalization method is a popular technique to provide particle swarm optimizers with the ability to handle constraints. The downside is the need of penalization coefficients whose settings are problem-specific. While adaptive…

Neural and Evolutionary Computing · Computer Science 2021-01-28 Mauro S. Innocente , Johann Sienz

In this paper, we propose an iterative method for using SOS programming to estimate the region of attraction of a polynomial vector field, the conjectured convergence of which necessitates the existence of polynomial Lyapunov functions…

Dynamical Systems · Mathematics 2017-04-25 Hesameddin Mohammadi , Matthew M. Peet

Particle swarm optimization comes under lot of changes after James Kennedy and Russell Eberhart first proposes the idea in 1995. The changes has been done mainly on Inertia parameters in velocity updating equation so that the convergence…

Artificial Intelligence · Computer Science 2018-02-27 Rajesh Misra , Kumar S. Ray

The primary user emulation attack (PUEA) is one of the common threats in cognitive radio networks (CRNs), in this problem, an attacker mimics the Primary User (PU) signal to deceive other secondary users (SUs) to make them leave the white…

Networking and Internet Architecture · Computer Science 2019-02-07 Walid R. Ghanem , Reem E. Mohamed , Mona Shokair , Moawad I. Dessouky

This paper develops a spectral fitting technology based on the particle swarm optimization (PSO) algorithm, which is applied to a calibration-free wavelength modulation spectroscopy system to achieve concentration retrieval. As compared…

Instrumentation and Detectors · Physics 2022-12-13 Tingting Zhang , Yongjie Sun , Pengpeng Wang , Cunguang Zhu

This paper preliminarily investigates the duality between flow matching in generative models and particle swarm optimization (PSO) in evolutionary computation. Through theoretical analysis, we reveal the intrinsic connections between these…

Neural and Evolutionary Computing · Computer Science 2025-07-29 Kaichen Ouyang

In this paper, we present an algorithm for stability analysis of systems described by coupled linear Partial Differential Equations (PDEs) with constant coefficients and mixed boundary conditions. Our approach uses positive matrices to…

Optimization and Control · Mathematics 2016-03-28 Evgeny Meyer , Matthew M. Peet

Many real-world problems are dynamic optimization problems. In this case, the optima in the environment change dynamically. Therefore, traditional optimization algorithms disable to track and find optima. In this paper, a new multi-swarm…

Neural and Evolutionary Computing · Computer Science 2013-08-08 Somayeh Nabizadeh , Alireza Rezvanian , Mohammd Reza Meybodi

This article aims to investigate sufficient conditions for the stability of stochastic differential equations with a random structure, particularly in contexts involving the presence of concentration points. The proof of asymptotic…

Probability · Mathematics 2023-05-22 Taras Lukashiv , Igor V. Malyk , Maryna Chepeleva , Petr V. Nazarov

Particle Swarm Optimization is a global optimizer in the sense that it has the ability to escape poor local optima. However, if the spread of information within the population is not adequately performed, premature convergence may occur.…

Neural and Evolutionary Computing · Computer Science 2021-01-27 Mauro S. Innocente , Johann Sienz

Robot swarms can be tasked with a variety of automated sensing and inspection applications in aerial, aquatic, and surface environments. In this paper, we study a simplified two-outcome surface inspection task. We task a group of robots to…

Robotics · Computer Science 2023-10-06 Darren Chiu , Radhika Nagpal , Bahar Haghighat

We present a newly developed -Gaussian Swarm Quantum-like Particle Optimization (q-GSQPO) algorithm to determine the global minimum of the potential energy function. Swarm Quantum-like Particle Optimization (SQPO) algorithms have been…

Neural and Evolutionary Computing · Computer Science 2013-11-05 Hiqmet Kamberaj

We show that the existence of a Lyapunov-Krasovskii functional (LKF) with pointwise dissipation (i.e. dissipation in terms of the current solution norm) suffices for input-to-state stability, provided that uniform global stability can also…

Optimization and Control · Mathematics 2026-03-17 Andrii Mironchenko , Fabian Wirth , Antoine Chaillet , Lucas Brivadis

In this paper, we present a framework for Stability Analysis of Systems of Coupled Linear Partial-Differential Equations. The class of PDE systems considered in this paper includes parabolic, elliptic and hyperbolic systems with Dirichelet,…

Optimization and Control · Mathematics 2018-03-28 Matthew M. Peet

Compared with random sampling, low-discrepancy sampling is more effective in covering the search space. However, the existing research cannot definitely state whether the impact of a low-discrepancy sample on particle swarm optimization…

Neural and Evolutionary Computing · Computer Science 2023-07-04 Feng Wu , Yuelin Zhao , Jianhua Pang , Jun Yan , Wanxie Zhong