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The aim of this paper is to present some results on the control synthesis of time-delay linear systems. Our objective is to find linear controllers able to increase the first stability window imposing that the delay-free system is stable. Our method treats time-delay systems control design with numeric routines based on Linear Matrix Inequalities (LMI) arisen from classical linear time invariant system...
The aim of this study is to provide a practical paradigm to ascertain the complete characterization of stability intervals for neutral time-delay systems with multiple commensurate delays. Firstly, the matrix pencil test is used to determine the complete set of imaginary characteristic roots. Only at these frequencies points may the stability switching occur. Then compute the principle delay value...
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