A classical problem in the study of an infeasible system linear inequalities is to determine irreducible subsystems (IISs), i.e., subsets whose proper are feasible. In this article, we examine a particular situation where only given subsystem interest for analysis infeasibility. For this, define relatively (RIISs) as that with respect subsystem. It generalization definition IIS, since IIS full ...

Numerical and observational evidence suggests that massive white dwarfs dominate the innermost regions of core-collapsed globular clusters by both number total mass. Using NGC 6397 as a test case, we constrain features dwarf populations in clusters, at present day throughout their lifetimes. The dynamics these subsystems have astrophysical implications. We demonstrate collapse cluster cores is ...

In recent years, underactuated nonlinear dynamic systems trajectory tracking, such as space robots and manipulators with structural flexibility, has become a major field of interest due to the complexity and high computational load of these systems. Hierarchical sliding mode control has been investigated recently for these systems; however, the instability phenomena will possibly occur, especia...