Name
Title | ||
|---|---|---|
Applications of the strong approximability property to a class of affine switched systems and to relaxed differential equations with affine structure |
Abstract | ||
|---|---|---|
This article deals with applications of the newly elaborated fundamental continuity property to a class of affine switched systems and to some differential equations with discontinuous right-hand sides. We study conventional, switched and relaxed controllable dynamical models described by nonlinear ordinary differential equations that are affine in the input. The special structure of these systems makes it possible to prove the strong approximability property that can provide a useful tool for some specific robustness results. The mathematical approach based on the nonlinear and set-valued analysis, allows to consider the controllable dynamics in an abstract setting and to obtain some general theoretical results. The latter can be effectively applied to a wide classes of switched control systems and to differential inclusions with affine structure. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1080/00207721.2011.570879 | Int. J. Systems Science |
Keywords | Field | DocType |
nonlinear ordinary differential equation,differential equation,abstract setting,strong approximability property,differential inclusion,special structure,fundamental continuity property,controllable dynamic,affine structure,controllable dynamical model,control system,ordinary differential equation,differential inclusions | Affine transformation,Differential inclusion,Differential equation,Mathematical optimization,Nonlinear system,Control theory,Affine arithmetic,Robustness (computer science),Nonlinear differential equations,Control system,Mathematics | Journal |
Volume | Issue | ISSN |
42 | 11 | 0020-7721 |
Citations | PageRank | References |
1 | 0.36 | 5 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Vadim Azhmyakov | 1 | 123 | 20.91 |
| Marco Tulio Angulo | 2 | 77 | 8.01 |