Abstract
In this chapter, we discuss linear TDSs: fundamental matrices and solutions of non-homogeneous equations, characteristic equations, and location of eigenvalues for RDEs and NDEs, as well as effects of delays on stability. A simple frequency domain method for stability of linear time-invariant (LTI) systems with a single delay is presented. The chapter discusses also controllability and observability of LTI TDSs.
The original version of this chapter was revised. An erratum to this chapter can be found at http://dx.doi.org/10.1007/978-3-319-09393-2_8
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Fridman, E. (2014). Linear TDSs. In: Introduction to Time-Delay Systems. Systems & Control: Foundations & Applications. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-09393-2_2
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DOI: https://doi.org/10.1007/978-3-319-09393-2_2
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-09392-5
Online ISBN: 978-3-319-09393-2
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