Mikhail V. Mulyukov

Necessary Conditions of the Stability of One Hybrid System

abstract:
One linear autonomous discrete-continuous system (also known as hybrid system) with uncertain coefficients is considered. The continuous component is described by a delay differential equation. The necessary conditions of asymptotic stability for this system are obtained.

Mathematics Subject Classification: 34K06, 34K20, 34K25, 34K34

Key words and phrases: Hybrid systems, discrete-continuous systems, asymptotic stability, delay differential equations