In this paper some geometric structures on Finsler Lie algeboids are studied and h-basic distinguished connections are introduced. Specially, Ichijyō connection that is a special h-basic distinguished ...

Abstract: Sub-Riemannian geometry (SRG) is one of the important and innovative areas of modern optimal control theory. This work implements the idea of Riemannian's to design nonlinear Static ...

Abstract: We consider the optimal control of mechanical systems on Lie groups and develop numerical methods that exploit the structure of the state space and preserve the system motion invariants. Our ...

Humans have a complex body with more degrees of freedom than needed to perform any particular task. Such redundancy affords flexible and adaptable motor behavior, provided that all degrees of freedom ...

ABSTRACT: This study investigates a planar differential game involving a singular attacker and defender, wherein the attacker endeavors to arrive at a specified target line while the defender seeks to ...

In 1993, Davis, Panas and Zariphopoulou provided a detailed discussion on the problem of European option pricing with transaction costs when the price of the underlying follows a diffusion process. We ...