矩阵范数 meaning in Chinese
matrixnorm matrix norm
norm of a matrix
Examples
- Consistent matrix norm
相容矩阵范数 - The subject is related and has applications to many different branches of pure and applied science such as operator theory , functional analysis , c " - algebras , banach algebras , matrix norms , inequalities , numerical analysis , perturbation theory , matrix polynomials , systems theory , quantum physics , etc . in recent years , the quadratic numerical range , one of the most important generalizations of the numerical range , was put forward in the course of people studying the spectral theory of the block operator matrix to the need of the development of some branches mentioned above
对它们的研究涉及到了基础数学及应用数学许多不同的分支，诸如算子理论，泛函分析， c ~ * -代数， banach代数，矩阵范数，不等式，数值分析，扰动性理论，矩阵多项式，系统论，量子物理等等，并且在这些分支上面得到了广泛的应用。近年来，为了上述某些数学分支发展的需要，人们在研究分块算子矩阵谱理论的过程中引入了数值域的一个重要推广：二次数值域。 - This method can guarantee the solution matrix of sylvester equation to be inverse and the sum of the input gain norm and the observer gain norm is the minimum . for the linear systems with unknown parameters , we identify the parameters using hopfield network , then design the observers using the identified parameters , the exponential convergence of adaptive observer is also proved . for the linear time - varying systems , a new network to solve the time - varying sylvester equation is proposed , we analysis it ' s convergence and robustness , then , deign the linear time - varying observer using this network model , and we discuss the convergence of the observer and ruboustness to unknown match parameters
同时保证了sylvester方程的解矩阵的可逆性和观测器的增益矩阵与输入矩阵范数的和最小；在设计线性时不变自适应观测器时，首先利用系统的输入、输出数据设计一个hopfield网络参数估计器，进一步设计状态观测器，证明了参数估计器和状态观测器的指数收敛性；为了仍然从神经优化计算的角度设计线性时变系统的状态观测器，最后介绍了一种求解时变sylvester矩阵方程的神经网络模型，分析了它的收敛性和鲁棒性，然后利用该网络设计时变状态观测器，进一步讨论该观测器的在系统存在未建模不确定和外部噪声时的鲁棒性；最后给出了一种基于分离性原理和hopfield网络观测器的状态反馈闭环系统的结构，分析了该闭环系统的特点；对于每一种设计方法都给出了相应的数值仿真例子来进一步表明所提方法的可行性和有效性。