The asymptotic stability of the simplest hybrid systems. (English) Zbl 07862687
Summary: The linear autonomous discrete-continuous systems (also known as hybrid systems) with uncertain coefficients is considered. We consider the class of hybrid systems, that consist of difference and ordinary differential equations. We obtain a stability domain for hybrid systems from this class. Two illustrative examples are presented.
MSC:
| 34A38 | Hybrid systems of ordinary differential equations |
| 34A30 | Linear ordinary differential equations and systems |
| 39A06 | Linear difference equations |
| 34D20 | Stability of solutions to ordinary differential equations |
