Sufficient conditions of asymptotic stability of the time-varying descriptor systems. (English) Zbl 1336.93131
Summary: We discuss the time-varying descriptor systems. Firstly, a sufficient condition of asymptotic stability and impulse-free system is derived based on the Riccati equation. Secondly, we design a state feedback controller to make the close-loop system asymptotically stable and impulse-free. Finally, a numerical example demonstrates the proposed results.
MSC:
| 93D20 | Asymptotic stability in control theory |
| 93B36 | \(H^\infty\)-control |
| 37N35 | Dynamical systems in control |
| 93C15 | Control/observation systems governed by ordinary differential equations |
References:
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