This paper derives new results on the active controller design for the output regulation problem of the LiuLiu-Liu-Su chaotic system (2006), which is one of the paradigms of 3-dimensional chaotic systems discovered by C. Liu, T. Liu, L. Liu and Y. Su. Explicitly, for the constant tracking problem, new state feedback control laws have been derived for regulating the output of the Liu-Liu-Liu-Su ...

purpose : the aim of this study was to investigate the effect of misalignment (tilt & decentration) of iols in cataract surgery using liu-brennan optical eye model in a simulation. methods : a phantom with the real eye parameters –liu-brennan model– and tecnis z9000 iol were used for simulation. results : results showed that with 0.4 mm decentration and more the modulation transfer function (mt...

In this paper, we mainly investigate the uniqueness of the entire function sharing a small entire function with its high difference operators. We obtain one results, which can give a negative answer to an uniqueness question relate to the Bruck conjecture dealt by Liu and Yang. Meanwhile, we also establish a difference analogue of the Bruck conjecture for entire functions of order less than 2, ...

In this paper, multi-dimensional Wiener-Liu process is proposed. Wiener-Liu process is a type of hybrid process, it corresponds to Brownian motion (Wiener process) in stochastic process and Liu process in fuzzy process. In classical analysis, the basic operations are differential and integral. Correspondingly, Ito-Liu formula plays the role of Ito formula in stochastic process and Liu formula i...

Supply chain coordination has become a critical success factor for supply chain management (SCM). In the past few years, the researchers have widely emphasized that cooperation among supply chain (SC) firms is a key source of competitive advantage. This paper is focused on supply chain coordination from the perspective of inventory management. Li and Liu [1] developed a model for illustrating h...