On the Structure of a Quasi-Optimal Algorithm for Circuit Designing

A. Zemliak
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Abstract

The formulation of the process of analog system design has been done on the basis of the control theory application as the problem of a special functional minimization. This approach generalizes the design process and produces the different design trajectories inside the same optimization procedure. Numerical examples show that the potential computer time gain of the optimal design strategy with respect to the traditional design strategy increases when the size and the complexity of the system increase. Some properties of an additional acceleration effect of the design process were analyzed. The special selection of the optimization process start point provides the acceleration effect with a great probability. The positions of the optimal switch points of the control vector were found on the basis of the analysis of the special Lyapunov function of the design process. The combination of the acceleration effect with the start point preliminary selection and the optimal switch points of the control vector serve as the principal ideas to the time-optimal design algorithm construction.
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电路设计准最优算法的结构研究
在控制理论应用的基础上,将模拟系统的设计过程作为一个特殊的功能最小化问题进行了阐述。这种方法概括了设计过程,并在同一优化过程中产生了不同的设计轨迹。数值算例表明,随着系统规模和复杂性的增加,优化设计策略相对于传统设计策略的潜在计算机时间增益增大。分析了设计过程中附加加速度效应的一些特性。优化过程起点的特殊选择,提供了大概率的加速效应。在分析设计过程的特殊Lyapunov函数的基础上,找到了控制向量的最优开关点位置。将加速度效应与初始点的初步选择和控制向量的最优切换点相结合,是构建时间最优设计算法的主要思想。
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