Universal formulas for CLF ’ s with respect to Minkowski balls 1
暂无分享,去创建一个
This note provides explicit, algebraic stabilizing formulas for clf’s when controls are restricted to certain Minkowski balls in Euclidean space. Feedbacks of this kind are known to exist by a theorem of Artstein, but the proof of Artstein’s theorem is nonconstructive. The formulas are used to construct approximation solutions to some stabilization problems.
[1] Z. Artstein. Stabilization with relaxed controls , 1983 .
[2] Eduardo D. Sontag,et al. Control-Lyapunov Universal Formulas for Restricted Inputs , 1995 .
[3] Yuandan Lin,et al. A universal formula for stabilization with bounded controls , 1991 .
[4] Eduardo Sontag. A universal construction of Artstein's theorem on nonlinear stabilization , 1989 .
[5] Eduardo D. Sontag,et al. Mathematical Control Theory: Deterministic Finite Dimensional Systems , 1990 .