In this article, we have considered a nonlinear nonlocal time dependent fourth order equation demonstrating the deformation of thin and narrow rectangular plate. We propose $$C^1$$ conforming virtual element method (VEM) arbitrary order, $$k\ge 2$$ , to approximate model problem numerically. employ VEM discretize space variable fully implicit scheme for temporal variable. Well-posedness discret...

This paper proposes a real-time, robust and efficient 3D model-based tracking algorithm for visual servoing. A virtual visual servoing approach is used for 3D tracking. This method is similar to more classical nonlinear pose computation techniques. Robustness is obtained by integrating an M-estimator into the virtual visual control law via an iteratively re-weighted least squares implementation...

Time-delayed systems are found to display remarkable temporal patterns the dynamics of which split into regular and chaotic components repeating at the interval of a delay. This novel long-term behavior for delay dynamics results from strongly asymmetric nonlinear delayed feedback driving a highly damped harmonic oscillator dynamics. In the corresponding virtual space-time representation, the b...

In this paper we present a unified framework for extreme learning machines and reservoir computing (echo state networks), which can be physically implemented using a single nonlinear neuron subject to delayed feedback. The reservoir is built within the delay-line, employing a number of "virtual" neurons. These virtual neurons receive random projections from the input layer containing the inform...

We describe an Augmented Reality system using the corners of a color cube for camera calibration. In the augmented image the cube is replaced by a computer generated virtual object. The cube is localized in an image by the CSC color segmentation algorithm. The camera projection matrix is estimated with a linear method that is followed by a nonlinear refinement step. Because of possible missclas...

Abstract Neural Networks (NNs), which are able to learn nonlinear behaviors from a limited set of measurement data, can provide efficient modeling solutions for many virtual reality applications. Due to their continuous memory behavior, NNs are able to provide instantaneously an estimation of the output value for input values that were not part of the initial training set. Hardware NNs consisti...

In paper, the virtual prototype of the rolling – guiding – suspension system of an off-road vehicle is presented. The prototype has been made with the MBS software ADAMS, and takes into consideration the geometric restrictions as well as the nonlinear characteristics of the elastic and damping elements. The experiment designed is one frequently carried by the automotive manufacturers, namely dy...

Using directed graphs, we consider consensus seeking problem when the information state of each agent is driven by exogenous inputs, random noise, or nonlinear dynamics. We show conditions under which global dynamic consensus can be achieved and provide boundedness analyses for the inconsistency of the information states between agents when communication noise or inconsistent inputs exist. Simu...