该算法采用矩阵编码方案，建立罚函数满足课表问题中的多重约束条件。
Matrix used as encoding of the algorithm, and a penalty function is adopted to satisfy the multi-constraint.
作者提出了精确罚函数的构造，讨论了它的性质，证明了算法的收敛性，并给出了数值计算实例。
This paper gives the form and some properties of the exact penalty function, convergence theorem of the algorithm and numerical examples.
该算法对非线性系统不需要进行线性化，对带强耦合的MIMO系统不需要解耦，使用罚函数处理约束也非常方便。
It is no need for this algorithm to linearize the nonlinear system and to decouple the strong-coupling MIMO system. It is also convenient to use the penalty function to solve the restriction.
用模糊动态罚函数遗传算法对钢筋混凝土梁进行了离散变量优化设计。
Fuzzy dynamic penalty function GAs is used to optimize a reinforced concrete beam with discrete variable.
该算法基于一个近似于光滑函数族的精确的罚函数。
The algorithm is based upon an exact penalty function that is approximated by a family of smooth functions.
为避免用于计算接触力的罚函数法中的罚因子影响显式仿真算法的稳定性 ，采用了局部质量密度因子来抵消罚因子的负面影响。
To avoid reduction of critical time step size due to the penalty parameter for contact force calculation, a local density factor is introduced.
为避免用于计算接触力的罚函数法中的罚因子影响显式仿真算法的稳定性 ，采用了局部质量密度因子来抵消罚因子的负面影响。
To avoid reduction of critical time step size due to the penalty parameter for contact force calculation, a local density factor is introduced.
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