Let $U$ open in $\bbR^{d+m}$. $\Phi:U\to \bbR^m$ is a $C^1$ map such that $\Phi'(p)$ is surjective (which means columns of the $m\times (d+m)$ matrix of $\Phi'(p ...
\item $x^2 + xy + y^2 = 7$, 在 $(2, 1)$ 处. \item $x \cos xy = 0$, 在 $(1, \uppi/2)$ 处. 令 $F(x, y) = x^2 + xy + y^2 - 7$。显然 $F(2, 1) = 4 + 2 + 1 - 7 = 0 ...
Abstract: The classical super-twisting algorithm (STA) has many advantages, such as the simplicity, finite-time convergence, high accuracy, and robustness. However, its scalar input and output may ...
This paper aims to develop the Euler implicit time-discretization of multivariable sliding-mode controllers to solve the numerical chattering problem without modifying the continuous-time control law.