Stability of Non-Negative Lur'e Systems

Adam Bill, Christopher Guiver, Hartmut Logemann, Stuart Townley

Research output: Contribution to journalArticlepeer-review

10 Citations (SciVal)
49 Downloads (Pure)


A stability/instability trichotomy for a class of nonnegative continuous-time Lur’e systems is derived. Asymptotic, exponential, and input-to-state stability concepts are considered. The presented trichotomy rests on Perron–Frobenius theory, absolute stability theory, and recent input-to-state stability results for Lur’e systems. Applications of the results derived arise in various fields, including density-dependent population dynamics, and two examples are discussed in detail.
Original languageEnglish
Pages (from-to)1176-1211
Number of pages36
JournalSIAM Journal on Control and Optimization
Issue number3
Publication statusPublished - 12 May 2016


Dive into the research topics of 'Stability of Non-Negative Lur'e Systems'. Together they form a unique fingerprint.

Cite this