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Universal formulas for feedback stabilization with respect to Minkowski balls (2000)
| Content Provider | CiteSeerX |
|---|---|
| Author | Malisoff, Michael Sontag, Eduardo D. |
| 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... |
| File Format | |
| Volume Number | 40 |
| Journal | Systems & Control Letters |
| Language | English |
| Publisher Date | 2000-01-01 |
| Access Restriction | Open |
| Subject Keyword | Universal Formula Minkowski Ball Feedback Stabilization Much Current Feedback Control Design Useful Characteristic Certain Minkowski Ball Approximation Solution Appropriate Section Universal Clf Formul Euclidean Space General Feedback Stabilization Technique Introduction Smooth Control-lyapunov Function Smooth Clf Stabilization Problem Recent Work |
| Content Type | Text |
| Resource Type | Article |
