augmented downhill simplex method (adsm) is introduced here, that is a heuristic combination of downhill simplex method (dsm) with random search algorithm. in fact, dsm is an interpretable nonlinear local optimization method. however, it is a local exploitation algorithm; so, it can be trapped in a local minimum. in contrast, random search is a global exploration, but less efficient. here, rand...

Global finite-time observers are designed for a class of nonlinear systems with bounded varying rational powers imposed on the increments of the nonlinearities whose solutions exist and are unique for all positive time. The global finite-time observers designed in this paper are with two homogeneous terms. The global finite-time convergence of the observation error system is achieved by combini...

In this paper, we derive state-space integral quadratic constraints (IQC) equivalent to global performance criteria for a spatially invariant array of systems. We first show that a local IQC is equivalent to global stability with a decentralized Lyapunov function. Then, a local state-space IQC equivalent a global H∞ norm bound is also provided.