Abstract
A novel approach to stability analysis of linear time-invariant (LTI) time-delay systems of retarded type with incommensurate time delays and polynomial dependence on parametric uncertainties is presented. Using a branch and bound algorithm, which relies on Taylor models and polynomials in Bernstein form, we first determine the stability-crossing set in the delay/parameter space and then evaluate stability for each disjoint region. The novel approach can be used to either nonconservatively check stability of time-delay systems with interval parameters or to map stable regions to a low-dimensional parameter space while taking additional interval parameters into account. The algorithm is applied to several examples with parametric uncertainties and/or incommensurate time delays.
| Original language | English |
|---|---|
| Article number | 8295108 |
| Pages (from-to) | 3927-3934 |
| Number of pages | 8 |
| Journal | IEEE Transactions on Automatic Control |
| Volume | 63 |
| Issue number | 11 |
| DOIs | |
| State | Published - Nov 2018 |
Keywords
- Bernstein polynomials
- Taylor models
- delay-dependent
- incommensurate
- parametric uncertainty
- robust stability
- stability analysis
- time delay