Nonlinear matrix equation Xs+A∗X−t1A+B∗X−t2B=Q has many applications in engineering; control theory; dynamic programming; ladder networks; stochastic filtering; statistics and so forth. In this paper, the Hermitian positive definite solutions of nonlinear matrix equation Xs+A∗X−t1A+B∗X−t2B=Q are considered, where Q is a Hermitian positive definite matrix, A, B are nonsingular complex matrices, s is a positive number, and 0展开▼
机译:非线性矩阵方程xs + a * x-t1a + b * x-t2b = q在工程中具有许多应用;控制理论;动态编程;梯形网络;随机滤波;统计等等。在本文中,考虑了非线性矩阵方程xs + a * x-t1a + b * x-t2b = q的密封师正定解,其中q是麦克尔维亚的正定矩阵,a,b是非奇形的复杂矩阵,s是正数和0 展开▼