Erratum to "Adaptive observers for TS fuzzy systems with unknown polynomial inputs" [Fuzzy Sets and Systems 161 (2010) 2043-2065]

The description of the error dynamics (30) in our paper [1] contains an omission that leads to some bounds used in the conditions of Theorem 8 and Corollary 2 in the paper to be incorrectly defined. In what follows, the correct error dynamics and the corresponding conditions are given. Instead of (30) in [1], the error dynamics are actually given by ė = m ∑ i=1 wi(z)[(Ai − LiC +MiAδi)e +Mi(Āδix̂ + B̄δiu + θ̄i)] ey = Ce (1) which leads to μmax in Theorem 8 being given by μmax ≤ maxi ‖MiAδi‖, instead of μmax ≤ maxi ‖Aδi‖ as stated in [1]. Similarly, the correct error system (36) is given by ė = m ∑ i=1 wi(ẑ)[(Ai − LiC +MiAδi)e +Mi(Āδix̂ + B̄δiu + θ̄i)]