Universal formulas for feedback stabilization with respect to Minkowski balls
By Michael A. Malisoff, Eduardo Sontag. Systems & Control Letters, 2000
57 citations recorded by the source corpus.
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.
Subfields: Control and Systems Engineering
View Paper: https://www.semanticscholar.org/paper/57c3b70367f9f51538ccf78dfe2f5ff38d8d480f
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Control and Systems Engineering
- Prashant Mhaskar
- Panagiotis D. Christofides
- N. El‐Farra
- Matthew J. Ellis
- Joseph Sang-Il Kwon
- Lixian Zhang
- Abhinav Narasingam
- Peng Shi
Citations in the corpus
- Hybrid predictive control of nonlinear systems: method and applications to chemical processes (2004, unknown): “References [13–15]).”
- Output feedback control of switched nonlinear systems using multiple Lyapunov functions (2001, background): “(5) and (6), we note that they are synthesized, via multiple control Lyapunov functions, by reshaping the nonlinear gain of the boundedLGV controller proposed in [25] (see also [23,27,9,11] for examples of other extensions of the universal formula in [25]).”