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Many real-world phenomena can be modelled as dynamic optimization problems. In such cases, the environment problem changes dynamically and therefore, conventional methods are not capable of dealing with such problems. In this paper, a novel…

Artificial Intelligence · Computer Science 2013-08-01 Somayeh Nabizadeh , Alireza Rezvanian , Mohammad Reza Meybodi

Sequential Monte Carlo methods, also known as particle methods, are a widely used set of computational tools for inference in non-linear non-Gaussian state-space models. In many applications it may be necessary to compute the sensitivity,…

Statistics Theory · Mathematics 2011-06-14 Pierre Del Moral , Arnaud Doucet , Sumeetpal Singh

In this paper, an asymptotic stability proof for a class of methods for inexact nonlinear model predictive control is presented. General Q-linearly convergent online optimization methods are considered and an asymptotic stability result is…

Optimization and Control · Mathematics 2021-12-01 Andrea Zanelli , Quoc Tran Dinh , Moritz Diehl

Addressing the issue of SVMs parameters optimization, this study proposes an efficient memetic algorithm based on Particle Swarm Optimization algorithm (PSO) and Pattern Search (PS). In the proposed memetic algorithm, PSO is responsible for…

Machine Learning · Computer Science 2014-01-10 Yukun Bao , Zhongyi Hu , Tao Xiong

This paper examines the global convergence problem of SLAM algorithms, an issue that faces topological obstructions. This is because the state-space of attitude dynamics is defined on a non-contractible manifold: the special orthogonal…

Systems and Control · Electrical Eng. & Systems 2022-12-13 Seyed Hamed Hashemi , Jouni Mattila

Choosing a committee with independent members in social networks can be named as a problem in group selection and independence in the committee is considered as the main criterion of this selection. Independence is calculated based on the…

Social and Information Networks · Computer Science 2019-10-07 Parham Hadikhani , Pooria Hadikhani

Stability analysis plays a crucial role in studying the behavior of dynamical systems with theoretical and engineering applications. Among various kinds of stability, the stability of equilibrium points is of the greatest importance which…

Dynamical Systems · Mathematics 2019-01-25 Arash Mehrjou , Bernhard Schölkopf

In this report, a novel variation of Particle Swarm Optimization (PSO) algorithm, called Multiagent Coordination Optimization (MCO), is implemented in a parallel computing way for practical use by introducing MATLAB built-in function…

Optimization and Control · Mathematics 2014-12-02 Qing Hui , Haopeng Zhang

This paper presents an automated algorithm to analyze the stability of piecewise affine (PWA) dynamical systems due to their broad applications. We parametrize the Lyapunov function as a PWA function, with polytopic regions defined by the…

Systems and Control · Electrical Eng. & Systems 2023-12-06 Pouya Samanipour , Hasan A. Poonawala

This study proposes a method for estimating the mechanical parameters of vehicles and bridges and the road unevenness, using only vehicle vibration and position data. In the proposed method, vehicle input and bridge vibration are estimated…

Signal Processing · Electrical Eng. & Systems 2022-01-21 Kyosuke Yamamoto , Kakeru Murakami , Ryota Shin , Yukihiko Okada

We investigate an example of noise-induced stabilization in the plane that was also considered in (Gawedzki, Herzog, Wehr 2010) and (Birrell, Herzog, Wehr 2011). We show that despite the deterministic system not being globally stable, the…

Probability · Mathematics 2012-10-02 Avanti Athreya , Tiffany Kolba , Jonathan C. Mattingly

We propose a two-phase systematical framework for approximation algorithm design and analysis via Lyapunov function. The first phase consists of using Lyapunov function as an input and outputs a continuous-time approximation algorithm with…

Optimization and Control · Mathematics 2022-09-08 Donglei Du

In this paper we propose a novel artificial multi-swarm PSO which consists of an exploration swarm, an artificial exploitation swarm and an artificial convergence swarm. The exploration swarm is a set of equal-sized sub-swarms randomly…

Neural and Evolutionary Computing · Computer Science 2020-06-23 Haohao Zhou , Zhi-Hui Zhan , Zhi-Xin Yang , Xiangzhi Wei

A powerful tool for studying long-term convergence of a Markov process to its stationary distribution is a Lyapunov function. In some sense, this is a substitute for eigenfunctions. For a stochastically ordered Markov process on the…

Probability · Mathematics 2021-03-01 Andrey Sarantsev

Stability analysis tools are essential to understanding and controlling any engineering system. Recently sum-of-squares (SOS) based methods have been used to compute Lyapunov based estimates for the region-of-attraction (ROA) of polynomial…

Dynamical Systems · Mathematics 2015-01-23 Soumya Kundu , Marian Anghel

In this paper, a novel optimization algorithm, called the acceleration-aided particle swarm optimization (AAPSO), is proposed for reliable dynamic spectrum sensing in cognitive radio networks. In A-APSO, the acceleration variable of the…

This paper proposes a line integral Lyapunov function approach to stability analysis and stabilization for It\^o stochastic T-S models. Unlike the deterministic case, stability analysis of this model needs the information of Hessian matrix…

Systems and Control · Electrical Eng. & Systems 2020-04-02 Shaosheng Zhou , Yingying Han , Baoyong Zhang

This paper presents a novel algorithm named the motion-encoded particle swarm optimization (MPSO) for finding a moving target with unmanned aerial vehicles (UAVs). From the Bayesian theory, the search problem can be converted to the…

Robotics · Computer Science 2020-10-06 Manh Duong Phung , Quang Phuc Ha

As the acquisition cost of the graphics processing unit (GPU) has decreased, personal computers (PC) can handle optimization problems nowadays. In optimization computing, intelligent swarm algorithms (SIAs) method is suitable for…

Neural and Evolutionary Computing · Computer Science 2021-10-05 Wei-Chang Yeh , Zhenyao Liu , Shi-Yi Tan , Shang-Ke Huang

With the advent of Genome Sequencing, the field of Personalized Medicine has been revolutionized. From drug testing and studying diseases and mutations to clan genomics, studying the genome is required. However, genome sequence assembly is…

Neural and Evolutionary Computing · Computer Science 2021-10-22 Sehej Jain , Kusum Kumari Bharti