This protocol explores the temporal information about the moment where a replicated database object is read or updated,so that the two criterions of one-copy serializability and eventual consistency can be guaranteed at the same time.

In this paper, we discuss uniform boundedness and uniform ultimate boundedness of differential systems with infinite delay.

By using these theorems, one can assert the uniform stability, uniform asymptotic stability, uniform boundedness and uniform ultimate boundedness of the delay difference systems if the corresponding properties of the solution of the relevant ordinary difference equation are known.

in this paper, we first use a new method to obtain some new results concerningthe uniform boundedness, uniformly ultimate boundedness and extreme stability of solutionsof higher dimensional systems.

Then, by means of Liapunov functions, sufficient conditions for the (uniform) eventual stability, asymptotic eventual stability, uniformly asymptotic eventual stability and eventual instability of the zero solution of nonlinear impulsive differential systems are presented.

Based on the UUB (uniformly ultimately bounded) theory and a quadratic Lyapunov function, this paper provides a methodology to analyze the influence of parameter uncertainties on transient stability under the classical model with uniform damping coefficients.

To insure the system error is uniformly ultimately bounded (UUB), the update laws of the coarse/fine subnet are designed respectively.

Lyapunov function is chosen in order to verify the stability of observer,and it is proved that the observer error states are uniformly ultimately bounded.