Stabilisation of non-linear DISS systems with uncertainty via encoded feedback

摘要

The global asymptotic stability of non-linear systems with uncertainty through sampled encoded measurements is investigated. With the objective of achieving global asymptotic stability, some sufficient conditions are derived on sampling time and the quantity of uncertainty under differentiably ISS (DISS) condition, which can be relaxed under input-to-state stability (ISS) condition. Additionally, as a special case, the result when the non-linear system is fixed without uncertainty is improved compared with that in Liberzon and Hespanha, where ISS, a strictly stronger condition than DISS, is employed.