\(\mu \)-stability of impulsive differential systems with unbounded time-varying delays and nonlinear perturbations (Q2846203)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: \(\mu \)-stability of impulsive differential systems with unbounded time-varying delays and nonlinear perturbations |
scientific article; zbMATH DE number 6205819
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(\mu \)-stability of impulsive differential systems with unbounded time-varying delays and nonlinear perturbations |
scientific article; zbMATH DE number 6205819 |
Statements
5 September 2013
0 references
\(\mu \)-stability
0 references
unbounded time-varying delays
0 references
impulsive differential systems
0 references
linear matrix inequality (LMI)
0 references
nonlinear perturbations
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
\(\mu \)-stability of impulsive differential systems with unbounded time-varying delays and nonlinear perturbations (English)
0 references
The authors discuss the problem of \(\mu\)-stability of impulsive differential systems with unbounded time-varying delays and nonlinear perturbations. Some \(\mu\)-stability criteria, which depend on the range of distributed delay and the decay rate of discrete delay (not the range), are derived by using the Lyapunov-Krasovskii functional method. These criteria are expressed in the form of linear matrix inequalities which are easily checked. Moreover, two numerical examples are provided to demonstrate the effectiveness of the obtained results. Both the theoretical and numerical results seem interesting.
0 references
