Sentence examples for monotone system from inspiring English sources

The method is based on the monotone system theory.

end{cases} (3.9) System (3.9) is a linear and monotone system.

(5.9) Clearly, M is a Metzler matrix in a view of already established nonnegativity of the parameter I. Thus, the equation (frac {dY t)}{dt}=M Y t)+B t)) is a monotone system [29].

In dynamical systems language, a monotone system exhibits an ordered response because it lacks sustained oscillations and chaotic behavior, thereby rendering the behavior of the system particularly simple.

Our results are consistent with the fact that the MAPK cascade is a monotone system and some of them could be demonstrated with the same tools used in [ 16, 17].

For large-scale biological networks represented as signed graphs, the index of frustration measures how far a network is from a monotone system, i.e., how incoherently the system responds to perturbations.

For this class of monotone systems the guaranteed enclosure can show some overestimation.

Usually, the design of such observers is based on monotone systems theory.

For example, continuous flows without negative feedback loops are known as monotone systems.

However, many such applications in science and engineering can be efficiently modeled using the concept of positive systems and the nonlinear counterpart monotone systems.

To date, monotone systems have been basically studied from the analysis viewpoint, whereas control design issues for such dynamical systems have not been considerably remarked.