This article presents a new parameter estimation algorithm for the adaptive control of class time-varying plants. The main feature this is matrix learning rates, which enables error trajectories to tend exponentially fast toward compact set whenever excitation conditions are satisfied. employed in large problems where unknown parameters present and time-varying. It shown that guarantees global ...

We study one-dimensional general non-Hermitian models with asymmetric long-range hopping and explore to analytically solve the systems under some specific boundary conditions. Although introduction of terms prevents us from finding analytical solutions for arbitrary parameters, we identify existence exact when parameters fulfill constraint relations, which give Our results show that wave functi...