"Nonlinear Systems: Modeling, Estimation, and Stability" ed. by Mahmut Reyhanoglu

This book focuses on several key aspects of nonlinear systems including dynamic modeling, state estimation, and stability analysis. It is intended to provide a wide range of readers in applied mathematics and various engineering disciplines an excellent survey of recent studies of nonlinear systems.

With its thirteen chapters, the book brings together important contributions from renowned international researchers to provide an excellent survey of recent studies of nonlinear systems. The first section consists of eight chapters that focus on nonlinear dynamic modeling and analysis techniques, while the next section is composed of five chapters that center on state estimation methods and stability analysis for nonlinear systems.


Contents
1 Appell-Gibbs Approach in Dynamics of Non-Holonomic Systems
2 Canonical Generalized Inversion Form of Kane's Equations of Motion for Constrained Mechanical Systems
3 Non-Linear Behaviours in the Dynamics of Some Biostructures
4 Soliton-Like Solutions in the Problems of Vibrations of Nonlinear Mechanical Systems: Survey
5 Nonlinear Aeroelastic Response of Highly Flexible Flying Wing Due to Different Gust Loads
6 A Reduced-Order Gauss-Newton Method for Nonlinear Problems Based on Compressed Sensing for PDE Applications
7 Nonlinear Response on External Electric Field and Nonlinear Generalization of Fluctuation-Dissipation Theorem for Levy Flights
8 Invariants of Generalized Fifth Order Non-Linear Partial Differential Equation
9 Optimal State Estimation of Nonlinear Dynamic Systems
10 Fuzzy Fault Detection Filter Design for One Class of Takagi-Sugeno Systems
11 Monte Carlo Set-Membership Filtering for Nonlinear Dynamic Systems
12 Stability Conditions for a Class of Nonlinear Systems with Delay
13 Controlling Equilibrium and Synchrony in Arrays of FitzHugh-Nagumo Type Oscillators