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Computing maximum delay deviation allowed to retain stability in systems with two delays. (English) Zbl 1246.93103

Chiasson, John (ed.) et al., Applications of time delay systems. Berlin: Springer (ISBN 978-3-540-49555-0/pbk). Lecture Notes in Control and Information Sciences 352, 157-164 (2007).
Summary: This chapter discusses the calculation of maximum delay deviation without losing stability for systems with two delays. This work is based on our previous work on the properties of the stability crossing curves in the delay parameter space. Based on the results, an algorithm to calculate the maximum radius of delay deviation without changing the number of right hand zeros of the characteristic quasipolynomial can be devised. If the nominal system is stable, then the system remains stable when the delays do not deviate more than this radius.
For the entire collection see [Zbl 1110.93003].

MSC:

93D99 Stability of control systems
93C15 Control/observation systems governed by ordinary differential equations
93B40 Computational methods in systems theory (MSC2010)
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