• Title/Summary/Keyword: Linear evolution system

Search Result 65, Processing Time 0.029 seconds

EXISTENCE FOR A NONLINEAR IMPULSIVE FUNCTIONAL INTEGRODIFFERENTIAL EQUATION WITH NONLOCAL CONDITIONS IN BANACH SPACES

  • Yan, Zuomao
    • Journal of applied mathematics & informatics
    • /
    • v.29 no.3_4
    • /
    • pp.681-696
    • /
    • 2011
  • In this paper, we consider the existence of mild solutions for a certain class of nonlinear impulsive functional evolution integrodifferential equation with nonlocal conditions in Banach spaces. A sufficient condition is established by using Schaefer's fixed point theorem combined with an evolution system. An example is also given to illustrate our result.

HELMHOLTZ DECOMPOSITION AND SEMIGROUP THEORY TO THE FLUID AROUND A MOVING BODY

  • Bae, Hyeong-Ohk
    • Bulletin of the Korean Mathematical Society
    • /
    • v.57 no.3
    • /
    • pp.661-676
    • /
    • 2020
  • To understand the interaction of a fluid and a rigid body, we use the concept of B-evolution. Then in a similar way to the usual Navier-Stokes system, we obtain a Helmholtz type decomposition. Using B-evolution theory and the decomposition, we work on the semigroup to analyze the linear part of the system.

Evolutionary Computation Approach to Wiener Model Identification

  • Oh, Kyu-Kwon;Okuyama, Yoshifumi
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 2001.10a
    • /
    • pp.33.1-33
    • /
    • 2001
  • We address a novel approach to identify a nonlinear dynamic system for Wiener models, which are composed of a linear dynamic system part followed by a nonlinear static part. The aim of system identification here is to provide the optimal mathematical model of both the linear dynamic and the nonlinear static parts in some appropriate sense. Assuming the nonlinear static part is invertible, we approximate the inverse function by a piecewise linear function. We estimate the piecewise linear inverse function by using the evolutionary computation approach such as genetic algorithm (GA) and evolution strategies (ES), while we estimate the linear dynamic system part by the least squares method. The results of numerical simulation studies indicate the usefulness of proposed approach to the Wiener model identification.

  • PDF

An Evolution of Nonlinear Dynamic Response of an Unreinforced Masonry Structure (비보강 조적조의 비선형 동적 거동의 전개)

  • Kim, Nam-Hee
    • Journal of the Earthquake Engineering Society of Korea
    • /
    • v.10 no.3 s.49
    • /
    • pp.77-84
    • /
    • 2006
  • Unlike homogeneous material structure, the behavior of masonry structure is not perfectly elastic even in the range of small deformations because it is a non-homogeneous and anisotropic composite structural material, consisting of masonry units, mortar, and grout. This paper proposes a simplified way of investigating the evolution of the deformation and damage of the structure subjected to a series of successive ground motions with varying shaking. Especially, the most simple but useful algorithm of Fast Fourier Transformation (FFT) has been adopted to investigate the evolution of the deformation and damage of the structure tested on the shaking table. Moreover, the development of a hi-linear curve for an equivalent SDOF system which is obtained by exploiting the frequency and stiffness relationship was discussed. Finally, some important findings related to inelastic properties of the URM are summarized.

Combination of Evolution Algorithms and Fuzzy Controller for Nonlinear Control System (비선형 제어 시스템을 위한 진화 알고리즘과 퍼지 제어기와의 결합)

  • 이말례;장재열
    • Journal of the Korea Society of Computer and Information
    • /
    • v.1 no.1
    • /
    • pp.159-170
    • /
    • 1996
  • In this paper, we propose a generating method for the optimal rules for the nonlinear control system using evolution algorithms and fuzzy controller. With the aid of evolution algorithms optimal rules of fuzzy logic system can be automatic designed without human expert's priori experience and. knowledge. and ran be intelligent control. The approachpresented here generating rules by self-tuning the parameters of membership functions and searchs the optimal control rules based on a fitness value which Is tile defined performance criterion. Computer simulations demonstrates the usefulness of the proposed method In non -linear systems.

  • PDF

Intelligent Control Based on Evolution Algorithms (진화 알고리즘을 기반으로한 지능 제어)

  • 이말례;김기태
    • Journal of Intelligence and Information Systems
    • /
    • v.1 no.2
    • /
    • pp.73-83
    • /
    • 1995
  • In this paper, we propose a generating method for the optimal rules of the fuzzy rule base using evolution algorithms. With the aid of evolution algorithms optimal rules of fuzzy logic system can be automatic designed without human expert's priori experience and knowledge. can be intelligent control. The a, pp.oach presented here generating rules by self-tuning the parameters of membership functions and searchs the optimal control rules based on a fitness value which is the defined performance criterion. Computer simulations demonstrates the usefulness of the proposed method in non-linear systems.

  • PDF

CONTROLLABILITY OF LINEAR AND SEMILINEAR CONTROL SYSTEMS

  • Jeong, Jin-Mun;Park, Jong-Yeoul;Park, Chul-Yun
    • Bulletin of the Korean Mathematical Society
    • /
    • v.37 no.2
    • /
    • pp.361-376
    • /
    • 2000
  • Our purpose is to seek that the reachable set of the semilinear system $\frac{d}{dt}x(t){\;}={\;}Ax(t){\;}+{\;}f(t,x(t)){\;}+{\;}Bu(t)$ is equivalent to that of its corresponding to linear system (the case where f=0).Under the assumption that the system of generalized eigenspaces of A is complete, we will show that the reachable set corresponding to the linear system is independent of t in case A generates $C_0-semigroup$. An illustrative example for retarded system with time delay is given in the last section.

  • PDF

A Controller Design for Active Suspension System Using Evolution Strategy and Neural Network (진화전략과 신경회로망에 의한 능도 현가장치의 제어기 설계)

  • Kim, Dae-Jun;Chun, Jong-Min;Jeon, Hyang-Sig;Park, Young-Kiu;Kim, Sungshin
    • Journal of Institute of Control, Robotics and Systems
    • /
    • v.7 no.3
    • /
    • pp.209-217
    • /
    • 2001
  • In this paper, we propose a linear quadratic regulator(LQR) controller design for the active suspension using evolution strategy(ES) and neural network. We can improve the inherent suspension problem, the trade-off between ride quality and suspension travel by selecting appropriate weight in the LQR-objective function. Since any definite rules for selecting weights do not exist, we replace the designers trial-and-error method with ES that is an optimization algorithm. Using the ES, we can find the proper control gains for selected frequencies, which have major effects on the vibrations of the vehicle. The relationship between the frequencies and proper control gains are generalized by use of the neural networks. When the vehicle is driven, the trained neural network is activated and provides the proper gains for operating frequencies. And we adopted double sky-hook control to protect car component when passing large bump. Effectiveness of our design has been shown compared to the conventional sky-hook controller through simulation studies.

  • PDF

Structural health monitoring through meta-heuristics - comparative performance study

  • Pholdee, Nantiwat;Bureerat, Sujin
    • Advances in Computational Design
    • /
    • v.1 no.4
    • /
    • pp.315-327
    • /
    • 2016
  • Damage detection and localisation in structures is essential since it can be a means for preventive maintenance of those structures under service conditions. The use of structural modal data for detecting the damage is one of the most efficient methods. This paper presents comparative performance of various state-of-the-art meta-heuristics for use in structural damage detection based on changes in modal data. The metaheuristics include differential evolution (DE), artificial bee colony algorithm (ABC), real-code ant colony optimisation (ACOR), charged system search (ChSS), league championship algorithm (LCA), simulated annealing (SA), particle swarm optimisation (PSO), evolution strategies (ES), teaching-learning-based optimisation (TLBO), adaptive differential evolution (JADE), evolution strategy with covariance matrix adaptation (CMAES), success-history based adaptive differential evolution (SHADE) and SHADE with linear population size reduction (L-SHADE). Three truss structures are used to pose several test problems for structural damage detection. The meta-heuristics are then used to solve the test problems treated as optimisation problems. Comparative performance is carried out where the statistically best algorithms are identified.

Optimal Environmental and Economic Operation using Evolution Strategy (전력계통의 환경적.경제적운용을 위한 진화기법의 응용)

  • Lee, Won-Ju;Park, Chang-Joo;Kim, Kyu-Ho;You, Seok-Ku
    • Proceedings of the KIEE Conference
    • /
    • 1997.07c
    • /
    • pp.1088-1090
    • /
    • 1997
  • This paper presents an effective methodology of optimal environmental and economic operation using evolution strategy. In power systems, evolution strategy, based on natural selection and genetics, can analyze non-linear and discontinuous functions in global search techniques. The formulation using this search techniques is multi-objective function, which consists of fuel cost and environmental effects concerning the pollution of the Earth's atmosphere caused by the emission of $SO_2$ and $NO_x$ from thermal generator plants. The proposed algorithms are applied on system with 6 generator.

  • PDF