Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 20 of 67 for “"nonlinear dynamical systems"”.
-
Coupled nonlinear dynamical systems
In this dissertation, we study coupled nonlinear dynamical systems that exhibit new types of complex behavior. We numerically and analytically examine a variety of dynamical models, ranging from systems of ordinary differential equations (ODE) with novel elements of feedback to systems of partial …
-
ON FUZZY MODELING OF NONLINEAR DYNAMICAL SYSTEMS
Modeling nonlinear dynamical systems using fuzzy systems has increasingly been recognized as a distinct and important system identification paradigm. It refers to a process whereby a dynamical system is modeled not in the form of conventional differential and difference equations, but in the form …
-
Real-time data assimilation in nonlinear dynamical systems
… the performance of data assimilation in all nonlinear thermoacoustic regimes, from limit cycles to chaos, and interpret the results physically. An *increase, reject, inflate* strategy is proposed to deal with the rich nonlinear behaviour; and physical time scales for assimilation are proposed …
-
Parameterized model order reduction for nonlinear dynamical systems
The presence of several nonlinear analog circuits and Micro-Electro-Mechanical (MEM) components in modern mixed signal System-on-Chips (SoC) makes the fully automatic synthesis and optimization of such systems an extremely challenging task. The research presented in this thesis concerns the …
-
Model reduction for nonlinear dynamical systems with parametric uncertainties
Nonlinear dynamical systems are known to be sensitive to input parameters. In this thesis, we apply model order reduction to an important class of such systems -- one which exhibits limit cycle oscillations (LCOs) and Hopf-bifurcations. Highfidelity simulations for systems with LCOs are …
-
Active disturbance cancellation in nonlinear dynamical systems using neural networks
… neural network for disturbance cancellation in nonlinear dynamical systems is presented. Appropriate modifications to the CMAC training algorithm are derived which allow convergent adaptation for a variety of secondary signal paths. Analytical bounds on the maximum learning gain are presented …
-
Scaling and synchronization in deterministic and stochastic nonlinear dynamical systems
Gegenstand dieser Arbeit ist die Untersuchung universeller Skalengesetze, die in gekoppelten chaotischen Systemen beobachtet werden. Ergebnisse werden erzielt durch das Ersetzen der chaotischen Fluktuationen in der Störungsdynamik durch stochastische Prozesse. Zunächst wird ein zeitkontinuierliches …
-
Bayesian Inference for Nonlinear Dynamical Systems : Applications and Software Implementation
The topic of this thesis is estimation of nonlinear dynamical systems, focusing on the use of methods such as particle filtering and smoothing. There are three areas of contributions: software implementation, applications of nonlinear estimation and some theoretical extensions to existing …
-
Reduced-space Gaussian process regression forecast for nonlinear dynamical systems
… forecast of complex high-dimensional dynamical systems for which data-streams are available. The first step of this method consists of the reconstruction of the vector field in a reduced-order subspace of interest using Gaussian Process Regression (GPR). GPR simultaneously allows for …
-
Validated global multiobjective optimization of trajectories in nonlinear dynamical systems
… optimization of trajectories in continuous nonlinear dynamical systems that can provide rigorous, arbitrarily tight bounds on the objective values and state paths realized by (Pareto-)optimal trajectories. By controlling all sources of error, our resulting method is the first global …
-
Safe online learning for nonlinear dynamical systems using control contraction metrics
… challenge for high dimensional non linear systems due to the inherent safety risks and computational challenges of solving exponential time algorithms. The research achieves this aim by providing an extensive survey of safe online learn ing approaches for nonlinear systems by assessing each …
-
Development of hierarchical optimal control algorithms for interconnected nonlinear dynamical systems
… algorithms for optimal control of interconnected nonlinear systems. To achieve this, four basic hierarchical structures are developed by taking into account the manner in which real process measurements taken from interaction inputs are incorporated and utilized in the model-based optimal control …
-
Construction of frequency-energy plots for nonlinear dynamical systems from time-series data
… plot (FEP) is a useful tool in analyzing nonlinear system response, but previous methods of generating the FEP were limited to analytical calculations or use of the wavelet transform. Although these are acceptable methods of constructing the FEP, the former requires significant …
-
A trajectory piecewise-linear approach to model order reduction of nonlinear dynamical systems
(cont.) Finally, we present projection schemes which result in improved accuracy of the reduced order TPWL models, as well as discuss approaches leading to guaranteed stable and passive TPWL reduced-order models.
-
Bayesian learning for high-dimensional nonlinear dynamical systems : methodologies, numerics and applications to fluid flows
… a particular class of models: high-dimensional nonlinear dynamical systems, which have been commonly used to predict a wide range of transient phenomena including fluid flows, heat transfer, biogeochemical dynamics, and other advection-diffusion-reaction-based transport processes. Even though …
-
A modal method for the simulation of nonlinear dynamical systems with application to bowed musical intruments
… point of view, the complex nature of the nonlinear sound generating mechanism – the friction between two surfaces – is no less stimulating. In this thesis, a physical modelling computational method based on a modal approach is developed to perform simulations of nonlinear dynamical systems …
-
Data-driven system identification of strongly nonlinear modal interactions and model updating of nonlinear dynamical systems
… reduced-order models of the dynamics of nonlinear dynamical systems; the reason is that, typically, nonlinearities introduce new dynamical phenomena that have no counterparts in linear settings. This dissertation focuses on a recently developed, data-driven nonlinear system identification …
Page 1 of 4