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.
|Number of pages||36|
|Journal||SIAM Journal on Control and Optimization|
|Publication status||Published - 12 May 2016|
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- Department of Mathematical Sciences - Professor Emeritus
Person: Honorary / Visiting Staff