| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4975358 | Journal of the Franklin Institute | 2014 | 54 Pages |
Abstract
The paper surveys mathematical tools required for stability and convergence analysis of modern sliding mode control systems. Elements of Filippov theory of differential equations with discontinuous right-hand sides and its recent extensions are discussed. Stability notions (from Lyapunov stability (1982) to fixed-time stability (2012)) are observed. Concepts of generalized derivatives and non-smooth Lyapunov functions are considered. The generalized Lyapunov theorems for stability analysis and convergence time estimation are presented and supported by examples from sliding mode control theory.
Related Topics
Physical Sciences and Engineering
Computer Science
Signal Processing
Authors
Andrey Polyakov, Leonid Fridman,