Title :
Universal formulas for CLFs with respect to Minkowski balls
Author :
Malisoff, Michael ; Sontag, Eduardo D.
Author_Institution :
Dept. of Math., Rutgers Univ., Piscataway, NJ, USA
Abstract :
This note provides explicit, algebraic stabilizing formulas for control Lyapunov functions when controls are restricted to certain Minkowski balls in Euclidean space. Feedbacks of this kind are known to exist by a theorem of Artstein (1995), but the proof of Artstein´s theorem is nonconstructive. The formulas are used to construct approximation solutions to some stabilization problems
Keywords :
Lyapunov methods; algebra; feedback; stability; CLF; Euclidean space; Minkowski balls; approximation solutions; control Lyapunov functions; feedbacks; stabilization problems; Books; Control systems; Feedback control; Force control; Lyapunov method; Mathematics;
Conference_Titel :
American Control Conference, 1999. Proceedings of the 1999
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4990-3
DOI :
10.1109/ACC.1999.782318
