DocumentCode
646276
Title
Incremental stability of planar Filippov systems
Author
di Bernardo, Mario ; Liuzza, Davide
Author_Institution
Dept. of Syst. & Comput. Eng., Univ. of Naples Federico II, Naples, Italy
fYear
2013
fDate
17-19 July 2013
Firstpage
3706
Lastpage
3711
Abstract
We study the problem of proving incremental stability of a planar Filippov system. In particular, referring to systems that present an attractive sliding region on their discontinuity boundary, we will give a differential condition on such region able to guarantee incremental exponential stability of sliding mode trajectories. We will then derive conditions for the incremental stability of the whole system. The approach is based on using tools from contraction theory, extending their applicability to include discontinuous dynamical systems.
Keywords
asymptotic stability; nonlinear dynamical systems; set theory; variable structure systems; attractive sliding region; contraction theory; differential condition; discontinuity boundary; discontinuous dynamical systems; incremental exponential stability; incremental stability; planar Filippov systems; sliding mode trajectories; Asymptotic stability; Convergence; Equations; Manifolds; Numerical stability; Trajectory; Vectors;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Conference (ECC), 2013 European
Conference_Location
Zurich
Type
conf
Filename
6669684
Link To Document