نتایج جستجو برای: chaos best solution

تعداد نتایج: 838937  

Journal: :Int. J. Control 2013
Kwang Ki Kevin Kim Richard D. Braatz

This paper considers the model predictive control of dynamic systems subject to stochastic uncertainties due to parametric uncertainties and exogenous disturbance. The effects of uncertainties are quantified using generalised polynomial chaos expansions with an additive Gaussian random process as the exogenous disturbance. With Gaussian approximation of the resulting solution trajectory of a st...

Journal: :I. J. Bifurcation and Chaos 2015
Hiroshi Gotoda Marc Pradas Serafim Kalliadasis

Copyright and Moral Rights for the articles on this site are retained by the individual authors and/or other copyright owners. For more information on Open Research Online's data policy on reuse of materials please consult the policies page. We study the emergence of pattern formation and chaotic dynamics in the one-dimensional (1D) generalized Kuramoto-Sivashinsky (gKS) equation by means of a ...

2009
Puneet Singla Tarunraj Singh 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. A Polynomial Chaos based expansion approach is used to approximate uncertain system states and cost functions in terms of finite-dimensional series expansion in the stochastic space. Residual energy of the system is used as cost functio...

2009
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 functions in the stochastic space. Residual energy of the system is used as the cost function to design robust input shapers for precise rest-to-rest...

Journal: :I. J. Bifurcation and Chaos 2014
Albert C. J. Luo Bo Yu

In this paper, bifurcation trees of periodic motions to chaos in a parametric oscillator with quadratic nonlinearity are investigated analytically as one of the simplest parametric oscillators. The analytical solutions of periodic motions in such a parametric oscillator are determined through the finite Fourier series, and the corresponding stability and bifurcation analyses for periodic motion...

2008
Xiaoliang Wan George Em Karniadakis

We develop the theory for a robust and efficient adaptive multi-element generalized polynomial chaos (ME-gPC) method for elliptic equations with random coefficients for a moderate number (O(10)) of random dimensions. We employ loworder (p≤ 3) polynomial chaos and refine the solution using adaptivity in the parametric space. We first study the approximation error of ME-gPC and prove its hpconver...

2012
Dinesh Kumar C. Lacor

The primary objective of this work is to understand geometrical uncertainty based on the intrusive polynomial chaos method which allows computing the statistical output for geometrical uncertainty. Currently, very few techniques are available for such computations and this makes these computations a very active research topic. This article deals with the computation of some statistics of the so...

2015
Hiroshi Gotoda Marc Pradas Serafim Kalliadasis

We study the emergence of pattern formation and chaotic dynamics in the one-dimensional (1D) generalized Kuramoto-Sivashinsky (gKS) equation by means of a time-series analysis, in particular a nonlinear forecasting method which is based on concepts from chaos theory and appropriate statistical methods. We analyze two types of temporal signals, a local one and a global one, finding in both cases...

2012
Abolhassan Razminia Mohammad - Ali Sadrnia

One of the most attractive and important field of chaos theory is control of chaos. In this paper, we try to present a simple framework for chaotic motion control using the feedback linearization method. Using this approach, we derive a strategy, which can be easily applied to the other chaotic systems. This task presents two novel results: the desired periodic orbit need not be a solution of t...

2009
S. Rubenthaler

The Bird and Nanbu systems are particle systems used to approximate the solution of Boltzmann mollified equation. In particular, they have the propagation of chaos property. Following [GM94], we use coupling techniques and results on branching processes to write an expansion of the error in the propagation of chaos in terms of the number of particles, for slightly more general systems than the ...

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