Name
Title | ||
|---|---|---|
On the Kamke-Müller conditions, monotonicity and continuity for bi-modal piecewise-smooth systems. |
Abstract | ||
|---|---|---|
We show that the Kamke–Müller conditions for bimodal piecewise-smooth systems are equivalent to simple conditions on the vector fields defining the system. As a consequence, we show that for a specific class of such systems, monotonicity is equivalent to continuity. Furthermore, we apply our results to derive a stability condition for piecewise positive linear systems. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1016/j.sysconle.2011.10.015 | Systems & Control Letters |
Keywords | Field | DocType |
Piecewise-smooth systems,Monotone systems,Positive systems stability,Kamke–Müller conditions | Monotonic function,Mathematical optimization,Linear system,Mathematical analysis,Vector field,Piecewise,Modal,Mathematics | Journal |
Volume | Issue | ISSN |
61 | 1 | 0167-6911 |
Citations | PageRank | References |
0 | 0.34 | 5 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yoann O’Donoghue | 1 | 0 | 0.34 |
| Oliver Mason | 2 | 107 | 12.58 |
| Rick Middleton | 3 | 0 | 0.34 |