Stabilization via homogenization

Stabilization via homogenization

In this short note we treat a 1+1-dimensional system of changing type. On different spatial domains the system is of hyperbolic and elliptic type, that is, formally, ∂2 t un − ∂2 xun = ∂tf and un−∂ xun = f on the respective spatial domains ⋃ j∈{1,...,n} ( j−1 n , 2j−1 2n ) and ⋃ j∈{1,...,n} (2j−1 2n , j n ) . We show that (un)n converges weakly to u, which solves the exponentially stable limit ...

Vehicle Stabilization via a Self-Tuning Optimal Controller

Nowadays, using advanced vehicle control and safety systems in vehicles is growing rapidly. In this regard, in recent years new control systems, called VDC, have been introduced. These systems stabilize vehicle yaw motion, by yaw moment resulted from tire controlling forces. In this paper, an adaptive optimal controller applied to a vehicle to obtain a satisfactory lateral and yaw stability. To...

Stabilization of chaotic systems via fuzzy time-delayed controller approac

In this paper, we investigate the stabilization of unstable periodic orbits of continuous time chaotic systems usingfuzzy time-delayed controllers. For this aim, we present a control method that can achieve stabilization of an unstableperiodic orbit (UPO) without any knowledge of the system model. Our proposal is attained progressively. First, wecombine the input-to-state linearizing controller...

Homogenization via p-FEM for Problems

Homogenization of Periodic Structures via Bloch Decomposition

In this paper, the classical problem of homogenization of elliptic operators in arbitrary domains with periodically oscillating coefficients is considered. Using Bloch wave decomposition, a new proof of convergence is furnished. It sheds new light and offers an alternate way to view the classical results. In a natural way, this method leads us to work in the Fourier space and thus in a framewor...