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STABILITY AND CONTROL DESIGN FOR TIME-VARYING SYSTEMS WITH TIME-VARYING DELAYS USING A TRAJECTORY-BASED APPROACH.
- Source :
-
SIAM Journal on Control & Optimization . 2017, Vol. 55 Issue 1, p533-556. 24p. - Publication Year :
- 2017
-
Abstract
- A recent work by Mazenc and Malisoff provides a trajectory-based approach for proving stability of time-varying systems with time-varying delays. Here, we provide several significant applications of their approach. In two results, we use a Lyapunov function for a corresponding undelayed system to provide a new method for proving stability of linear continuous-time time-varying systems with bounded time-varying delays. We allow uncertainties in the coefficient matrices of the systems. Our main results use upper bounds on an integral average involving the delay. The results establish input-to-state stability with respect to disturbances. We also provide a novel reduction model approach that ensures global exponential stabilization of linear systems with a time-varying pointwise delay in the input, which allows the delay to be discontinuous and uncertain. Finally, we provide an alternative to the reduction model method, based on a different dynamic extension. Our examples demonstrate the usefulness of our findings in several settings. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03630129
- Volume :
- 55
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- SIAM Journal on Control & Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 121921714
- Full Text :
- https://doi.org/10.1137/15M1027838