| Universal formulas for feedback stabilization with respect to Minkowski balls (2000) | |||||||||||||||
Abstract | |||||||||||||||
| 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 obtained from a general feedback stabilization technique and are used to construct approximation solutions to some stabilization problems. 1 Introduction Smooth control-Lyapunov functions (clf's) provide foundations for much current feedback control design. See for instance the appropriate sections in the textbooks [3, 4, 5, 6, 11]. The theory of smooth clf's had its origins in Artstein's paper [1]. See also [9] for nonsmooth clf's, and the recent work [2] for applications of the latter. A very useful characteristic of clf's is the existence of `universal formulas' for stabilization (cf. [10] and the above textbooks). This note continues the search, started in [7] (see also [8]), for universal clf formul... | |||||||||||||||
Publication details | |||||||||||||||
| |||||||||||||||