This paper is devoted to the control of Markov jump nonlinear systems with general transition probabilities (TPs) allowed to be known, uncertain, and unknown. With the help of the S-procedure to dispose the system nonlinearities and the TP property to eliminate the coupling between unknown TP and Lyapunov variable, an extended bounded real lemma for the considered system to be stochastically stable with the prescribed H∞ performance is established in the framework of linear matrix inequalities. To handle the nonlinearity incurred by uncertain TP for controller synthesis, a separated method is proposed to decouple the interconnection between Lyapunov variables and controller gains. A numerical example is given to show the effectiveness of the proposed method.

Biocompatible nanocomposite hydrogels (NC gels) consisting of poly(acrylic acid) (PAA) and nanosized clay (Laponite) were successfully synthesized by in situ free-radical polymerization of acrylic acid (AA) in aqueous solutions of Laponite. The obtained NC gels were uniform and transparent. Their viscosity, storage modulus G', and loss modulus G″ increased significantly upon increasing the content of Laponite and the dose of AA, while exhibiting a maximum with increasing the neutralization degree of AA. They showed tunable adhesion by changing the dose of Laponite and monomer as well as the neutralization degree of AA, as determined by 180° peel strength measurement. The maximal adhesion was shown when reaching a balance between cohesion and fluidity. A homemade Johnson-Kendall-Roberts (JKR) instrument was employed to study the surface adhesion behavior of the NC gels. The combination of peel strength, rheology, and JKR measurements offers the opportunity of insight into the mechanism of adhesion of hydrogels. The NC gels with tunable adhesion should be ideal candidates for dental adhesive, wound dressing, and tissue engineering.

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The dispersion behaviors of copper oxide on the mechanical mixture of CeO 2 and γ-Al 2 O 3 supports, CuO/CeO 2 + γ-Al 2 O 3 , have been characterized by using XRD, LRS, XPS, UV-DRS, and TPR. The results show that copper oxide dispersed mainly on the surface of CeO 2 support, provided that the loading amount of copper oxide does not exceed the dispersion capacity of CuO/CeO 2 , ∼1.2 mmol of CuO/100 m 2 of CeO 2 (Dong, L.; Jin, Y. S.; Chen, Y. Sci. China (B). 1997, 40, 24). Increasing the CuO loading evidently leads to the formation of the dispersed copper oxide species on the surface of the γ-Al 2 O 3 support. The results have been tentatively discussed by using the incorporation model, which was proposed to describe the interaction between the dispersed species and the support previously (

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