By using the operational matrix, the nonlinear fractional integro-differential equations are reduced to a system of algebraic equations which is solved through known numerical algorithms.
The inversion error is calculated with respect to the control law and two matrices (inertia and dynamic damping matrices) which express the deviation of the estimated matrices relative to the calculated ones (the matrices from the nonlinear dynamics of MAV׳s) in conditions of absolute stability in closed loop system by using the Lyapunov theory.
Substitute covariance matrices for the nonlinear models were, in general, closer to the missing (actual) covariance matrix than a substitute covariance matrix for a linear model.
Substitute covariance matrices for the nonlinear models were, in general, closer to the missing (actual) covariance matrix than a substitute covariance matrix for a linear model.> -wrap-foot>> -wrap-foot> Sample size is 50 trees per species group.
Here, the covariance factors and the variance matrices for the nonlinear system can be calculated after the equations (15) ~ (18).
where denotes the state vector, and are constant matrices, and the nonlinear function,, is continuous with, and satisfies the Lipstchitz condition with the Liptchiz constant, namely,.
It is proved that optimal state feedback gain matrix obtained from the LTV approximations converges to the optimal state feedback gain matrix of the nonlinear system.
Based on the Bloch theorem and the transfer matrix method, the nonlinear polynomial eigenvalue equation for the periodic viaduct is derived using the impedance of the piers.
The nonlinear kernel function, which most probably is a large matrix, makes the nonlinear SVM take a very long time when mapping the input to a higher dimensional space [21].
One of the most important advantages of JFNK method is that there is no necessity to form and store the Jacobian matrix of the nonlinear system when JFNK method is employed.
