# Creating two disjoint stability intervals along the delay axis via controller design: a class of LTI SISO systems

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## Abstract

Frequency domain technique is adapted here together with an optimization scheme to design controllers for a class of linear time-invariant single-input single-output systems (SISO) with a loop delay, such that the closed loop system can be made stable in two distinct pre-selected delay intervals \([0,h_{1})\) and \((h_{2},h_{3})\), where \(h_{1}<h_{2}<h_{3}\). This stability-certifying approach is demonstrated over case studies, including an experiment.

## Keywords

Time-delay systems Stability Control design Optimization## Mathematics Subject Classification

34C25 34K20 65K10 93C23## References

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