Stability analysis for linear systems with a switched rapidly varying delay
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abstract
Linear continuous-time systems with switched pointwise delays are studied. A technique enabling to establish the stability of these systems with a rapidly varying periodic delay is proposed. It relies on two ingredients: a representation of the systems as time-varying systems with constant delays and an averaging approach. Illustrative examples show the effectiveness of the proposed methodology.
Averaging; Delay; Stability; Switch; Time-varying Delay control systems; Time delay; Averaging; Constant delays; Delay; Linear continuous-time system; Point wise; Stability analyze; Time varying; Time-varying systems; Varying delay; Linear time-invariant system