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- Title
On local ISS of nonlinear second‐order time‐delay systems without damping.
- Authors
Aleksandrov, Alexander; Efimov, Denis; Fridman, Emilia
- Abstract
Summary: For a second‐order system with vector position, either constant or time‐varying delays, and a power nonlinearity of the degree higher than one, which does not contain a velocity‐proportional damping term, the conditions of local input‐to‐state stability are proposed. The result is based on application of Lyapunov‐Razumikhin approach, for which new time estimates on decay of solutions are obtained. The approach is extended to attitude stabilization of a rigid body, and it is illustrated by simulations.
- Subjects
RIGID bodies
- Publication
International Journal of Robust & Nonlinear Control, 2024, Vol 34, Issue 10, p6329
- ISSN
1049-8923
- Publication type
Article
- DOI
10.1002/rnc.7227