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论文类型：会议论文

发表时间：2006-01-01

收录刊物：SCIE、CPCI-S

页面范围：611-616

关键字：optimization and reliability algorithms; iterative failure; chaotic dynamics; chaos control

摘要：As is known, both the optimization algorithms (including the Newton method, sequential linear programming (SLP), and sequential quadratic programming (SQP)) and the first order reliability method (FORM) adopt the iterative scheme. However, they could face to the convergent oscillation and chaos for some nonlinear problems. This paper presents a novel method to control the convergent failure of iterative procedure of optimization and reliability algorithms from the perspective of chaos dynamics. The chaos feedback control strategy such as self-locating and stability transformation method is incorporated into the iterative scheme of Newton method and FORM, respectively. Numerical results of some examples illustrate that the chaos control method for controlling the convergent failure of Newton method and FORM is effective and efficiency.