\[ s = \dot{x} + \alpha |x|^m \text{sgn}(x) \] \[ u = -K \text{sgn}(s) - \beta s^{\frac{p}{q}} \] \[ \text{Parameters: } \alpha, \beta > 0, \; 0 < m < 1, \; p < q \] \[ \text{Goal: Finite-Time Convergence to } s = 0 \]