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Time-delay systems with remarkable structural properties. (English) Zbl 1251.93036
Summary: The paper is concerned with a class of time-delay systems that are linearly equivalent to higher-order scalar equations. If the retarded case was considered some four decades ago in Halanay (1969), the non-trivial neutral case is considered here. The specific structure of these systems endows them with remarkable properties that are useful in various applications in dynamics and control. As an auxiliary necessary result, the variation of parameters formula is revisited what opens new perspectives for research progress in such directions as the Perron condition and forced linear oscillations.
MSC:
93B05Controllability
93C15Control systems governed by ODE
34H05ODE in connection with control problems