Abstract In this paper we derive new results on multivariate extremes and D -norms. particular establish characterizations of the max-domain attraction property. The limit distribution certain exceedances above high thresholds is derived, that generator a -norm ${\mathbb R}^{d}$ ? <mml:m...

This technical note proposes a switching anti-windup design, which aims to enlarge the domain of attraction of the closed-loop system. Multiple anti-windup gains along with an index function that orchestrates the switching among these anti-windup gains are designed based on the min function of multiple quadratic Lyapunov functions. In comparison with the design of a single anti-windup gain whic...

In this paper, a novel adaptive sliding mode control for rigid robot manipulators is proposed. In the proposed system, since there may exist explicit unknown parameters and perturbations, a Lyapunov based approach is presented to increase system robustness, even in presence of arbitrarily large (but not infinite) discontinuous perturbations. To control and track the robot, a continuous controll...

In Efron (1965), studied the stochastic increasingness of vector independent random variables entering a sum, given value sum. Precisely, he proved that log-concavity for distributions ensures becomes larger (in sense usual multivariate order) when sum is known to increase. This result as Efron’s “monotonicity property”. Under condition in have density functions with bounded second derivatives,...