Publication
Stability analysis for switched discrete-time linear singular systems
Pham Ky Anh, Pham Thi Linh, Do Duc Thuan & Trenn, S., Sep-2020, In : Automatica. 119, 9 p., 109100.Research output: Contribution to journal › Article › Academic › peer-review
Documents
- Stability analysis for switched discrete-time linear singular systems
Final publisher's version, 741 KB, PDF document
DOI
The stability of arbitrarily switched discrete-time linear singular (SDLS) systems is studied. Our analysis builds on the recently introduced one-step-map for SDLS systems of index-1. We first provide a sufficient stability condition in terms of Lyapunov functions. Furthermore, we generalize the notion of joint spectral radius of a finite set of matrix pairs, which allows us to fully characterize exponential stability.
| Original language | English |
|---|---|
| Article number | 109100 |
| Number of pages | 9 |
| Journal | Automatica |
| Volume | 119 |
| Publication status | Published - Sep-2020 |
- Switched singular systems, Index-1, Exponential stability, Joint spectral radius, Lyapunov functions, DESCRIPTOR SYSTEMS, EQUATIONS
Keywords
ID: 133408907