Abstract
The notion of a transitory excursion is introduced as a measure of the distance a stable semigroup (generated by a matrix A) moves away from the origin. Various estimates for the excursion are obtained via the distance of A from the normal matrices properties of spectral value sets of A and time-varying Lyapunov equations. It is shown how the excursion can be improved by state feedback. Finally the notion of transitory excursion radius for uncertain systems is introduced and estimates obtained.
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Pritchard, A.J. (2001). Transitory Behavior of Uncertain Systems. In: Colonius, F., Helmke, U., Prätzel-Wolters, D., Wirth, F. (eds) Advances in Mathematical Systems Theory. Systems & Control: Foundations & Applications. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0179-3_1
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DOI: https://doi.org/10.1007/978-1-4612-0179-3_1
Publisher Name: Birkhäuser, Boston, MA
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Online ISBN: 978-1-4612-0179-3
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