1·It contains an invariant — that the lower bound is always less than or equal to the upper bound.
它包含了一个不变式——下界总是小于或等于上界。
2·The optimal control design for the uncertain piecewise linear system has been converted to the problem of optimizing upper bound and seeking lower bound of the optimal control performance.
针对不确定分段线性系统，将最优控制设计问题转化成最优控制性能上界的优化问题及性能下界的求取问题。
3·We proved the closed systems global asymptotical stable, not needing the error upper bound and the error square integral, all the signals are bounded and the tracing error convergence.
在不要求最优逼近误差平方可积和上界已知的条件下，证明闭环系统全局渐近稳定，所有信号有界且跟踪误差收敛到零。
4·This paper tries to define metric function for homeomorphic mapping, and a sufficient condition of bounded metric function is given, under which a upper bound of metric function is defined as well.
对于一个同胚映射，本文给出了度量函数的定义，并且给出了度量函数有界的一个充分条件及在此充分条件下度量函数的一个上界。
5·A upper bound with consistent matrix norm and the estimate for error of AOR iterative method for solving linear equation system, which based on the doubly diagonal dominance, are presented.
在双严格占优矩阵条件下，给出了相容矩阵范数的一个上界，并以此为基础，得到了线性方程组求解时的AOR迭代法的误差估计式。