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Stabilization of exponentially unstable linear systems with multiple input delays by truncated predictor feedback

This paper considers the problem of stabilizing exponentially unstable linear systems with multiple delays in the input. A truncated predictor feedback law, parameterized in a scalar parameter, is constructed. Stability analysis shows that, when the delays satisfy a certain condition, a range of the parameter values can be determined within which the closed-loop system is asymptotically stable. Furthermore, under some additional conditions on the open loop system, we show that bound on the allowable delays approaches infinity as all open-loop poles of the system approach the imaginary axis. A numerical example illustrates the theoretical results.