Name
Abstract | ||
|---|---|---|
The past ten years have witnessed the emergence of many techniques for solv- ing parameter-dependent linear matrix inequality problems relative to robust anal- ysis of dynamical systems. In these, a polynomial parameter-dependent structure of the Lyapunov function is chosen a priori for proving stability and conservative results are proposed to compute the coefficients of the matrix polynomial. Among such results some demonstrate that the polynomial structure of the Lyapunov func- tion is related to an artificially augmented model in descriptor form. These contri- butions thus justify a renewed interest for robust analysis results in the descriptor context. Linear matrix inequality based formulas are proposed in the quadratic separation framework. Compared with previously derived results they have better numerical behavior, in particular because there is no need for equality constraints and most inequalities are strict. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1109/CDC.2007.4434238 | New Orleans, LA |
Keywords | DocType | ISSN |
Lyapunov matrix equations,control system analysis,linear matrix inequalities,polynomial matrices,robust control,uncertain systems,Lyapunov function,dynamical systems,matrix polynomial,parameter-dependent linear matrix inequality problems,polynomial parameter-dependent structure,quadratic separation,robust analysis,stability proving,uncertain descriptor system analysis,LMI,Robustness,Stability,descriptor LTI systems,dissipative uncertainties,quadratic separation | Conference | 0191-2216 E-ISBN : 978-1-4244-1498-7 |
ISBN | Citations | PageRank |
978-1-4244-1498-7 | 4 | 0.50 |
References | Authors | |
13 | 1 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Peaucelle, Dimitri | 1 | 50 | 5.26 |