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Zbl 0545.93011
Watanabe, Keiji
Further study of spectral controllability of systems with multiple commensurate delays in state variables. (English)
[J] Int. J. Control 39, 497-505 (1984). ISSN 0020-7179; ISSN 1366-5820/e

This is the third paper in a series of four by the author et al. on algebraic methods for the study of spectral controllability and finite spectrum assignability for delay systems with finitely many commensurate delays and scalar control [see the author, {\it M. Ito} and {\it M. Kaneko}, ibid. 38, 913-926 (1983; Zbl 0528.93037); the author and {\it M. Ito}, ibid. 39, 363-374 (1984; Zbl 0531.93014) (not ibid. 38 (1983), 621, as it appears in the references of the paper under review); the author, {\it M. Ito} and {\it M. Kaneko}, ibid. 39, 1073-1082 (1984; Zbl 0534.93045)]. The present paper proves necessity of a condition for spectral controllability in terms of finite Laplace transforms. Sufficiency has been proved earlier.
[F.Colonius]

MSC 2000:: *93B05 Controllability
34K35 Functional-differential equations connected with control problems
93B25 Algebraic theory of control systems
44A10 Laplace transform
93B55 Pole and zero placement problems
93C05 Linear control systems
93C99 Control systems, guided systems

Keywords: spectral controllability; finite spectrum assignability; delay systems with finitely many commensurate delays; scalar control

Citations: Zbl 0528.93037; Zbl 0531.93014; Zbl 0534.93045

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