讨论了广义连续随机非线性系统的最优递推问题,利用矩阵的奇异值分解理论,给出了广义连续随机非线性系统的奇异值标准形式。基于标准形式,在两种情况下将系统分解成两个子系统,通过对子系统状态估计的研究,得到了该系统的最优递推算法。
The optimal recursive equation for singular continuous nonlinear system is discussed. A singular values standard form for singular continuous stochastic nonlinear systems is given by singular value decomposition of matrix. Under the two cases, the singular continuous stochastic nonlinear system is decomposed two subsystems based on standard form. The optimal recursive equations for this singular system are obtained by state estimation of subsystems.