“…By using Lemma 2, π€ is equivalent to inequality (5), which means that ||π§|| 2 β€ Ξ³||π€|| 2 is satisfied for any nonzero π€(t) β L 2 [0, β), which ensures the asymptotical stability of system (4). Theorem 2 For a prescribed scalar Ξ³ > 0 and some given positive scalars Ο m , Ο M , u, h and matrix K, system (4) with condition ( 2) is robustly asymptotically stable and satisfies βπ§(t)β 2 β€ Ξ³βπ€(t)β 2 for all nonzero π€(t) β L 2 [0, β) if there are matrices π p > 0, π i > 0 (i = 1, 2, 3), π
> 0, π j > 0 ( j = 1, 2), and appropriate dimension matrices π l , π l (l = 1, 2, 3, 4, 5), and a scalar Ξ΅ p > 0 such that the following LMI is satisfied:…”