... Fatigue Through EEG Signal Processing Based on Nonlinear Analysis: Symbolic Dynamics ,” Chaos, Solitons Fractals , 44 ( 12 ), pp. 1054 – 1062 . 10.1016/j.chaos.2011.08.012 [10] Jorgensen , C. , Lee , D. , and Agabon , S. , 2012 , “ Sub-Audible Speech Recognition Based Upon...

...Emmanuel D. Blanchard; Adrian Sandu; Corina Sandu Mechanical systems operate under parametric and external excitation uncertainties. The polynomial chaos approach has been shown to be more efficient than Monte Carlo for quantifying the effects of such uncertainties on the system response. Many...

...Brian A. Templeton; David E. Cox; Sean P. Kenny; Mehdi Ahmadian; Steve C. Southward This paper applies the H 2 norm along time and parameter domains. The norm is related to the probabilistic H 2 problem. It is calculated using polynomial chaos to handle uncertainty in the plant model. The structure...

...Tarunraj Singh; Puneet Singla; Umamaheswara Konda A probabilistic approach, which exploits the domain and distribution of the uncertain model parameters, has been developed for the design of robust input shapers. Polynomial chaos expansions are used to approximate uncertain system states and cost...

... is one and therefore its structure is much simpler than the first controller. To illustrate the applicability, these controllers are applied to control chaos in the fractional-order Chen system. Numerical simulations results are presented to evaluate the performance of the proposed controllers. 03...

... technique is applied to a Lur’e-like dynamic system and the Lorenz system as two illustrative examples of chaotic systems. The simulation results verify the effectiveness of this approach in controlling an unknown chaotic system. 19 10 2005 26 02 2007 05 12 2007 chaos estimation...

... parameters. The stability conditions of periodic oscillations are derived. Routes to chaos are investigated both from direct numerical simulation and from analog simulation of the model describing the forced oscillator. One of the most important contributions of this work is to provide a set of reliable...

... − 1 , where T is the sampling time for the input position signal. 20 02 2004 01 06 2005 plates (structures) nonlinear control systems time-varying systems chaos control system synthesis robust control The bouncing ball system consists of a ball bouncing...

... and kept within these bounds. Some computer simulations of using the controller to control the Hénon map have been performed to demonstrate the performance of the proposed controller. 01 04 2003 24 05 2005 chaos variable structure systems adaptive control neurocontrollers fuzzy...

... oscillations time-varying systems chaos convergence matrix algebra noise parameter estimation We present a new nonlinear observer designed for parameter estimation in nonlinear oscillating systems. A preliminary version of this work was presented earlier 1 . First, we show that x 1...

... adaptive estimation variable structure systems stability chaos Observer Design Adaptive Estimation Nonlinear Systems Chaotic Synchronization In this paper, we present extensions of sliding-mode adaptive observers for state reconstruction of continuous-time nonlinear systems...

...-dimensional chaos. Since the measured signals are not highly contaminated, 1 fractal dimensions can effectively capture variation in machining dynamics due to flank wear, and therefore may be used as features for neural network estimation. In the absence of fractal attractors, the fractal dimensions have...

... ( d )) appears to be continuous. atomic force microscopy scanning probe microscopy Lennard-Jones potential chaos control systems intermolecular forces In recent years, several important research directions have been created to design, analyze, and implement micro and nano systems...