Abstract
We study the stability of second-order switched homogeneous systems. Using the concept of generalized first integrals we explicitly characterize the "most destabilizing" switching-law and construct a Lyapunov function that yields an easily verifiable, necessary and sufficient condition for asymptotic stability. Using the duality between stability analysis and control synthesis, this also leads to a novel algorithm for designing a stabilizing switching controller.
| Original language | English |
|---|---|
| Pages (from-to) | 1609-1625 |
| Number of pages | 17 |
| Journal | SIAM Journal on Control and Optimization |
| Volume | 41 |
| Issue number | 5 |
| DOIs | |
| State | Published - 2003 |
Keywords
- Absolute stability
- Hybrid control
- Hybrid systems
- Robust stability
- Switched linear systems