A method for searching multiple local optimal solutions of nonlinear optimization problems

被引：4

作者：

Nakazawa, C ^{[1
]}

Kitagawa, S ^{[1
]}

Fukuyama, Y ^{[1
]}

Chiang, HD ^{[1
]}

机构：

[1] Fuji Elect Adv Technol Co Ltd, Optimazat Syst Grp, Tokyo, Japan

来源：

2005 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS (ISCAS), VOLS 1-6, CONFERENCE PROCEEDINGS | 2005年

关键词：

D O I：

10.1109/ISCAS.2005.1465733

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This paper presents a systematic method for searching multiple local optimal solutions of continuous nonlinear optimization problems. The presented method consists of two major algorithms for searching the solutions. The first part of the algorithms is for a global search, and the second one is for a local search. The effective global search algorithm based on the bifurcation theory has been developed to escape from a stability region (basin of attraction) of a stable equilibrium point, and move to another stable equilibrium point via a type I unstable equilibrium point on the stability boundary (basin boundary) using the continuation method. The proposed method is verified by two well-known numerical examples.

引用

页码：4907 / 4910

页数：4

共 13 条

[1]

[Anonymous], 1988, EQUILIBRIUM CHAOS PR

[2] STABILITY REGIONS OF NONLINEAR AUTONOMOUS DYNAMICAL-SYSTEMS [J].

CHIANG, HD ;

HIRSCH, MW ;

WU, FF .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1988, 33 (01) :16-27

[3] CPFLOW - A PRACTICAL TOOL FOR TRACING POWER-SYSTEM STEADY-STATE STATIONARY BEHAVIOR DUE TO LOAD AND GENERATION VARIATIONS [J].

CHIANG, HD ;

FLUECK, AJ ;

SHAH, KS ;

BALU, N .

IEEE TRANSACTIONS ON POWER SYSTEMS, 1995, 10 (02) :623-630

[4] Quasi-stability regions of nonlinear dynamical systems: Optimal estimations [J].

Chiang, HD ;

FekihAhmed, L .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 1996, 43 (08) :636-643

[5] Quasi-stability regions of nonlinear dynamical systems: Theory [J].

Chiang, HD ;

FekihAhmed, L .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1996, 43 (08) :627-635

[6] A systematic search method for obtaining multiple local optimal solutions of nonlinear programming problems [J].

Chiang, HD ;

Chu, CC .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 1996, 43 (02) :99-109

[7]

Floudas C.A, 2000, NONCON OPTIM ITS APP, DOI 10.1007/978-1-4757-4949-6

[8]

GRIEWANK AO, 1989, J OPTIMIZATION THEOR, V34, P11

[9]

Guckenheimer J., 1983, NONLINEAR OSCILLATIO

[10]

NEUMAIER A, 2004, IN PRESS ACTA NUMERI

← 1 2 →