A new result on reachable set estimation for time-varying delay singular systems. (English) Zbl 1525.93018
Summary: This paper is concerned with the reachable set estimation (RSE) problem for singular systems with both time-varying delays and bounded peak disturbances. The objective is to search a bounded set that contains all the system states under zero initial conditions. By utilizing the theory of \(\{1\}\)-inverse and Wirtinger-based integral inequality, an improved criterion is established in terms of the linear matrix inequalities (LMIs) to guarantee that the reachable set of time-varying delay singular system is regular, impulse-free and bounded by the intersection of ellipsoids. Here, a relaxed Lyapunov-Krasovskii functional is employed to solve the addressed RSE problem which does not require all the involved symmetric matrices to be positive definite. Finally, numerical examples are provided to demonstrate the effectiveness of the proposed methods.
{© 2020 John Wiley & Sons Ltd}
{© 2020 John Wiley & Sons Ltd}
MSC:
| 93B03 | Attainable sets, reachability |
| 93C43 | Delay control/observation systems |
| 93C41 | Control/observation systems with incomplete information |
Keywords:
\(\{1\}\)-inverse; reachable set estimation; time-varying delay singular systems; uncertain systems; Wirtinger-based integral inequalityReferences:
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