This paper proposes the Gramian-preserving frequency transformation for linear discrete-time state-space systems. In this frequency transformation, we replace each delay element of a discrete-time system with an allpass system that has a balanced realization. This approach can generate transformed systems that have the same controllability/observability Gramians as those of the original system....

A transformation of an n-dimensional Riemannian manifold M , which transforms every geodesic circle of M into a geodesic circle, is called a concircular transformation. A concircular transformation is always a conformal transformation. Here geodesic circle means a curve in M whose first curvature is constant and second curvature is identically zero. Thus, the geometry of concircular transformat...

T h e purpose of the present paper is to study the metric entropy h((j),J\r) of an F-measure preserving transformation relative to a cr-algebra M of an F-dynamical system. Concepts of sufficient families and generators are introduced and a few results are proved. Finally, the entropy of the inverse limit of an inverse spectrum of F-dynamical systems is obtained.

A b s t r a c t . We consider transformations (performed by general recursive operators) mapping recursive functions into recursive functions. These transformations can be considered as mapping sets of recursive functions into sets of recursive functions. A transformation is said to be preserving the identification type I, if the transformation always maps/-identifiable sets into/-identifiable ...

The failure of heterogeneous materials with microstructures is a complex process damage nucleation, growth and localisation. This spans multiple length scales challenging to simulate numerically due its high computational cost. One option use domain decomposed multi-scale methods dynamical refinement. If needed, these refine coarse regions into fine-scale representation explicitly model the in ...

In this paper, we give a sufficient condition for the linear transformation preserving the strong q-log-convexity. As applications, we get some linear transformations (for instance, Morgan-Voyce transformation, binomial transformation, Narayana transformations of two kinds) preserving the strong q-log-convexity. In addition, our results not only extend some known results, but also imply the str...

previous evidence has shown that the number of l and m cones in retina varies significantly between subjects. however, it is not clear how the variation of l/m ratio changes the behavioral performance of the subject. a model of transformation of data from retina to visual cortex for evaluation of various l/m cones ratios is presented. while l/m cone ratios close to 1 brings the best performance...

A generalized almost tangent structure on the big tangent bundle T M associated to an almost tangent structure on M is considered and several features of it are studied with a special view towards integrability. Deformation under a βor a B-field transformation and the compatibility with a class of generalized Riemannian metrics are discussed. Also, a notion of tangentomorphism is introduced as ...