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Lyapunov–Krasovskii functional for uniform stability of coupled differential-functional equations
- Source :
-
Automatica . Mar2009, Vol. 45 Issue 3, p798-804. 7p. - Publication Year :
- 2009
-
Abstract
- Abstract: This article discusses the Lyapunov–Krasovskii functional approach for the stability problem of coupled differential-functional equations. Such systems include, as special cases, many types of time-delay systems, including the lossless propagation model, some neutral time-delay systems and singular time-delay systems. After the general stability theory, the special case of coupled differential-difference equations is discussed, and the necessity for the existence of quadratic Lyapunov–Krasovskii functional is established. Discretization is used to render the stability criterion to an LMI form. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00051098
- Volume :
- 45
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Automatica
- Publication Type :
- Academic Journal
- Accession number :
- 36771291
- Full Text :
- https://doi.org/10.1016/j.automatica.2008.10.024