Nonlinear Stability of Eady's Model

Stability and Continuity of Nonlinear Model Predictive Control Stability and Continuity of Nonlinear Model Predictive Control Stability and Continuity of Nonlinear Model Predictive Control

Acknowledgments I would like to express my appreciation to my advisor, Dr. James B. Rawl-ings. His diicult questions have pushed this work forward when it stalled and his insight has allowed me to progress when it seemed impossible. His vision of computing in this profession has provided his research group with the best computer facilities at the University. The work reported in this dis-sertat...

Stability in a Nonlinear Population Maturation Model

We consider models for population structured by maturation/maturation speed proposed by Rotenberg. It is a variant of transport equations for age-structured populations which presents particularly interesting mathematical difficulties. It allows one to introduce more stochasticity in the birth process and in the aging phenomena. We present a new method for studying the time asymptotics which is...

Nonlinear flight dynamics and stability of hovering model insects.

Current analyses on insect dynamic flight stability are based on linear theory and limited to small disturbance motions. However, insects' aerial environment is filled with swirling eddies and wind gusts, and large disturbances are common. Here, we numerically solve the equations of motion coupled with the Navier-Stokes equations to simulate the large disturbance motions and analyse the nonline...

Overview of Nonlinear Model Predictive Control Schemes Leading to Stability

Solution and stability analysis of coupled nonlinear Schrodinger equations

We consider a new type of integrable coupled nonlinear Schrodinger (CNLS)equations proposed by our self [submitted to Phys. Plasmas (2011)]. The explicitform of soliton solutions are derived using the Hirota's bilinear method.We show that the parameters in the CNLS equations only determine the regionsfor the existence of bright and dark soliton solutions. Finally, throughthe linear stability an...