Abstract
The problem of globally asymptotically stabilizing by bounded feedback an oscillator with an arbitrary large delay in the input is solved. A first solution follows from a general result on the global stabilization of null controllable linear systems with delay in the input by bounded control laws with a distributed term. Next, it is shown through a Lyapunoy analysis that the stabilization can be achieved as well when neglecting the distributed tenns. It turns out that this main result is intimately related to the output feedback stabilization problem.
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Mazenc, F., Mondié, S., Niculescu, SI. (2004). On the Stabilization of Systems with Bounded and Delayed Input. In: Niculescu, SI., Gu, K. (eds) Advances in Time-Delay Systems. Lecture Notes in Computational Science and Engineering, vol 38. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18482-6_8
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DOI: https://doi.org/10.1007/978-3-642-18482-6_8
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