Further Geometric and Lyapunov Characterizations of Incrementally Stable Systems on Finsler Manifolds

Stable Exponentially Harmonic Maps Between Finsler Manifolds

On Stretch curvature of Finsler manifolds

In this paper, Finsler metrics with relatively non-negative (resp. non-positive), isotropic and constant stretch curvature are studied.  In particular, it is showed that every compact Finsler manifold with relatively non-positive (resp. non-negative) stretch curvature is a Landsberg metric. Also, it is proved that every  (α,β)-metric of non-zero constant flag curvature and non-zero relatively i...

stable exponentially harmonic maps between finsler manifolds

A Geometric Characterization of Finsler Manifolds of Constant Curvature

We prove that a Finsler manifold Fm is of constant curvature K = 1 if and only if the unit horizontal Liouville vector field is a Killing vector field on the indicatrix bundle IM of Fm.

Further Results on Lyapunov Functions and Domains of Attraction for Perturbed Asymptotically Stable Systems

We present new theorems characterizing robust Lyapunov functions and infinite horizon value functions in optimal control as unique viscosity solutions of partial differential equations. We use these results to further extend Zubov’s method for representing domains of attraction in terms of partial differential equation solutions.