Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 6329-6345 |
| Number of pages | 17 |
| Journal | International Journal of Robust and Nonlinear Control |
| Volume | 34 |
| Issue number | 10 |
| DOIs | |
| State | Published - 10 Jul 2024 |
Keywords
- Lyapunov-Razumikhin function
- input-to-state stability
- time-delay systems
All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- General Chemical Engineering
- Biomedical Engineering
- Aerospace Engineering
- Mechanical Engineering
- Industrial and Manufacturing Engineering
- Electrical and Electronic Engineering
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