Nonlinear systems and exponential eigenfunctions

Ferreira : Nonlinear Systems and Exponential Eigenfunctions

Flows Generating Nonlinear Eigenfunctions

Nonlinear variational methods have become very powerful tools for many image processing tasks. Recently a new line of research has emerged, dealing with nonlinear eigenfunctions induced by convex functionals. This has provided new insights and better theoretical understanding of convex regularization and introduced new processing methods. However, the theory of nonlinear eigenvalue problems is ...

Exponential Observers for Nonlinear Dynamic Systems 1

There is a basic assumption in using state feedback control, i.e., we assume that all the state variables are available for direct measurements. However, in many situations the complete state is not available; so it is necessary to obtain an estimate of the current state of the given system from measurements of its output. For this purpose, Luenberger (1964, 1966) showed how to construct an obs...

Exponential stabilization for nonlinear systems with applications to nonholonomic systems

The paper proposes a general framework to study the exponential stabilization problem for a class of nonlinear systems. By using the σ-processing, the exponential stabilization problem can be solved provided that all solutions of an augmented system are uniformly globally bounded. Based on this result, a simple and general stability criterion is presented. Two well-known nonholonomic systems ar...

Mildly dissipative nonlinear Timoshenko systems — global existence and exponential stability