Complex geometric asymptotics for nonlinear systems on complex varieties

Geometric Controls on Nonlinear Manifolds for Complex Aerospace Systems

Many interesting dynamic systems in science and engineering evolve on a nonlinear, or curved, space that cannot be globally identified with a linear vector space. Such nonlinear spaces are referred to as manifolds, and they appear in various mechanical systems such as a pendulum, the attitude dynamics of a rigid body, or complex multibody systems. However, the geometric structures of a nonlinea...

Geometric Controls on Nonlinear Manifolds for Complex Aerospace Systems

Many interesting dynamic systems in science and engineering evolve on a nonlinear, or curved, space that cannot be globally identified with a linear vector space. Such nonlinear spaces are referred to as manifolds, and they appear in various mechanical systems such as a simple pendulum, rotational attitude dynamics of a rigid body, or complex multibody systems. However, the geometric structures...

Geometric Controls on Nonlinear Manifolds for Complex Aerospace Systems

Many interesting dynamic systems in science and engineering evolve on a nonlinear, or curved, space that cannot be globally identified with a linear vector space. Such nonlinear spaces are referred to as manifolds, and they appear in various mechanical systems such as a pendulum, the attitude dynamics of a rigid body, or complex multibody systems. However, the geometric structures of a nonlinea...

Complex fuzzy linear systems

Complex dynamics of nonlinear systems

Different nonlinear systems are presented exhibiting various dynamical phenomena, including bifurcations, chaotic dynamics, and synchronisation. Furthermore, methods for analysing, modelling and controlling complex dynamics are discussed. All these topics are illustrated with examples from work on nonlinear systems conducted at the DPI.