Sensitivity to Infinitesimal Delays in Neutral Equations
SIAM Journal on Control and Optimization
Stability and Stabilization of Time-Delay Systems (Advances in Design & Control) (Advances in Design and Control)
Circuit heating plant model with internal delays
WSEAS TRANSACTIONS on SYSTEMS
Stabilization of linear time-varying uncertain delay systems with double triangular configuration
WSEAS Transactions on Systems and Control
An approach for relay-based identification of anisochronic models
MIC '08 Proceedings of the 27th IASTED International Conference on Modelling, Identification and Control
Spectrum of a class of delay differential equations and its solution expansion
WSEAS Transactions on Mathematics
Time-delay systems: an overview of some recent advances and open problems
Automatica (Journal of IFAC)
An eigenvalue based approach for the stabilization of linear time-delay systems of neutral type
Automatica (Journal of IFAC)
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Time delay systems (TDS), called hereditary or anisochronic as well, can be frequently found in many engineering problems and they constitute a widespread family of industrial plants. Modelling, identification, stability analysis, stabilization, control, etc. of TDS are challenging and fascinating tasks in modern systems and control theory as well as in academic and industrial applications. One of their possible linear representations in the form of the Laplace transform yields the transfer function expressed as a fraction of quasipolynomials, instead of polynomials, with delay (exponential) terms in denominators. In this contribution, detailed root location analysis of a characteristic retarded quasipolynomial of degree one is presented, which gives rise to the spectrum of a retarded TDS. The presented analysis represents also a powerful tool for controller tuning in pole-placement control algorithms for delayed systems. A simulation example clarifies the results obtained vie proven propositions, lemmas and theorems.