Let M be a 3-connected matroid and let F field. A matrix over representing (G,B) biased graph M. We characterize the relationship between (G,B), settling four conjectures of Zaslavsky. show that for each representation M, is projectively equivalent to canonical arising from G as gain F+ or F× realizing B. Further, we projective equivalence classes representations are in one-to-one correspondenc...

A well-designed control-to-display (CD) gain function can improve pointing performance with an indirect pointing device such as a trackpad. However, the design of gain functions has been challenging and mostly based on trial and error. AutoGain is an unobtrusive method to obtain a gain function for an indirect pointing device in contexts where cursor trajectories can be tracked. It gradually im...

We give Lyapunov function characterizations for variants of the input–to–state stability property, which do not only imply the qualitative properties but also represent the robustness gains and attraction rates.

Synthesizing a gain-scheduled output feedback H∞ controller via parameter-dependent Lyapunov functions for linear parameter-varying (LPV) plant models involves solving an infinite number of linear matrix inequalities (LMIs). In practice, for affine LPV models, a finite number of LMIs can be achieved using convexifying techniques. This paper proposes an alternative approach to achieve a finite n...

This study focused to identify the likelihood factors affecting on farmers’ higher gain from paddy marketing in the North Central Province of Sri Lanka, where the main paddy cultivation area of the country. The required data was drawn from the field survey carried out in three irrigation systems covering 257 farmers during July to August 2010. The empirical logit model was used to assess factor...

It is demonstrated that a Kolmogorov-type competition model featuring species allocation and gain functions can possess multiple coexistence states. Two examples are constructed: one in which the two competing species possess rectangular allocation functions but distinct gain functions, and the other in which one species has a rectangular allocation function, the second species has a bi-rectang...