Radius of approximate controllability of linear retarded systems under structured perturbations

Well-posedness and approximate controllability of neutral network systems

“…for this class of systems have received much attention (see [3], [7], [21], [22], [25], [35] and references therein). For instance, different controllability results for various neutral delay systems have been established recently (see, [24], [10], [29], [27]). In [24], the authors analyze the exact null controllability of neutral systems with distributed state delay by using the moment problem approach.…”

“…In [29], the authors studied the approximate controllability of linear (continuous-time) systems with state delays via the matrix Lambert W function. The robustness of approximate controllability of linear retarded systems under structured perturbations has been addressed in [27] using the so-called structured distance to non-surjectivity. However, the results established in the aforementioned works become invalid for the transport network system (1), since the operators D = (D jk ), L = (L jk ), K 1 = (k jk ) and A m are supposed to be unbounded.…”