Computing maximum delay deviation allowed to retain stability in systems with two delays

Keqin Gu (1) , Silviu-Iulian Niculescu (2) , Jie Chen (3)

1 SIUE - Southern Illinois University [Edwardsville]
2 L2S - Laboratoire des signaux et systèmes
3 UC San Diego - University of California [San Diego]

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. © Springer-Verlag Berlin Heidelberg 2007.

Domaines: Informatique [cs]

Keqin Gu, Silviu-Iulian Niculescu, Jie Chen. Computing maximum delay deviation allowed to retain stability in systems with two delays. Applications of Time Delay Systems, 352, pp.157-164, 2007, Lecture Notes in Control and Information Sciences book series (LNCIS), ⟨10.1007/978-3-540-49556-7_10⟩. ⟨hal-02271893⟩