Abstract | ||
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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 |
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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 Seeber | 1 | 24 | 9.22 |
Markus Reichhartinger | 2 | 61 | 13.35 |
Martin Horn | 3 | 50 | 7.06 |