A solution to the tracking control problem for switched linear systems with time-varying delays
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KünyeLi, Q. K., Dimirovski, G. M., & Zhao, J. (2008). A solution to the tracking control problem for switched linear systems with time-varying delays. In 2008 47th IEEE Conference on Decision and Control (pp. 5348-5353). Piscataway, NJ: IEEE. http://dx.doi.org/10.1109/CDC.2008.4739122
We investigate the tracking control problem for switched linear time-varying delays systems with stabilizable and unstabilizable subsystems. Sufficient conditions for the solvability of the tracking control problem are developed. The tracking control problem of a switched time-varying delays system with stabilizable and unstabilizable subsystems is solvable if the stabilizable and unstabilizable subsystems satisfy certain conditions and admissible switching law among them. Average dwell time approach and piecewise Lyapunov functional methods are utilized to the stability analysis and controller design. A simulation example shows the effectiveness of the proposed method.