Practical stability and stabilisation of switched delay systems with non-vanishing perturbations. (English) Zbl 1432.93264
Summary: This study addresses practical stability and stabilisation of switched delay systems with bounded non-vanishing perturbations. By introducing a new method, i.e. the convergence theory of the geometric series, several stability and stabilisation criteria are derived under the average dwell switching. An example is also given to illustrate the effectiveness of the theoretical results.
MSC:
| 93D05 | Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory |
| 34K20 | Stability theory of functional-differential equations |
| 34K34 | Hybrid systems of functional-differential equations |
| 93D15 | Stabilization of systems by feedback |
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