Title
A Lyapunov Function for an Extended Super-Twisting Algorithm.
Abstract
Recently, an extension of the super-twisting algorithm for relative degrees m ≥ 1 has been proposed. However, as of yet, no Lyapunov functions for this algorithm exist. This paper discusses the construction of Lyapunov functions by means of the sum-of-squares technique for m = 1. Sign definiteness of both Lyapunov function and its time derivative is shown in spite of numerically obtained-and hence...
Year
DOI
Venue
2018
10.1109/TAC.2018.2794411
IEEE Transactions on Automatic Control
Keywords
Field
DocType
Lyapunov methods,Trajectory,Convergence,Stability analysis,Numerical stability,Algorithm design and analysis,Sliding mode control
Lyapunov function,Algorithm design,Positive-definite matrix,Algorithm,Time derivative,Convex optimization,Numerical stability,Mathematics,Bounded function,Sliding mode control
Journal
Volume
Issue
ISSN
63
10
0018-9286
Citations 
PageRank 
References 
2
0.40
7
Authors
3
Name
Order
Citations
PageRank
Richard Seeber1249.22
Markus Reichhartinger26113.35
Martin Horn3507.06