|Improved Results on Reachable Set Estimation of Linear Systems
Jiemei Zhao* and Zhonghui Hu
International Journal of Control, Automation, and Systems, vol. 17, no. 5, pp.1141-1148, 2019
Abstract : "In this study, we investigate the reachable set estimation for linear systems with discrete delay and distributed
delay as well as disturbances. Based on the reciprocally convex combination lemma, free-weighting matrix
approach and convex analysis technique, improved delay-dependent linear matrix inequalities (LMIs) criteria are
derived for finding an ellipsoid to bound the reachable sets of such systems. Moreover, this result is extended to the
one for linear systems with discrete delay, distributed delay and disturbances as well as polytopic-type uncertainties.
In addition, the proposed results include some existing ones as special cases since the initial conditions of the
systems are not required to be zero. Finally, two numerical examples are provided to show that our results have less
"Discrete and distributed delays, generalized reciprocally convex combination, optimization method, reachable set estimation"
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