Free-Matrix-Based Integral Inequality for Stability Analysis of Systems With Time-Varying Delay
Hunan University of Technology · China University of Geosciences · +2 more institutions
Abstract
The free-weighting matrix and integral-inequality methods are widely used to derive delay-dependent criteria for the stability analysis of time-varying-delay systems because they avoid both the use of a model transformation and the technique of bounding cross terms. This technical note presents a new integral inequality, called a free-matrix-based integral inequality, that further reduces the conservativeness in those methods. It includes well-known integral inequalities as special cases. Using it to investigate the stability of systems with time-varying delays yields less conservative delay-dependent stability criteria, which are given in terms of linear matrix inequalities. Two numerical examples demonstrate…
Citation impact
- FWCI
- 100.87
- Percentile
- 100%
- References
- 24
Authors
4Topics & keywords
- Bounding overwatch
- Mathematics
- Stability (learning theory)
- Inequality
- Matrix (chemical analysis)
- Integral equation
- Applied mathematics
- Weighting
- Reduced inequalities