Advanced Search
Article Contents
Article Contents

Positivity, robust stability and comparison of dynamic systems

Abstract Related Papers Cited by
  • We study generalized classes of positive and monotone dynamic systems in a partially ordered Banach space. Using results from the nonlinear operators theory, we establish new algebraic conditions for stability of equilibrium states of a class of monotone-type di fferential and diff erence systems. Conditions for the positivity and absolute stability of diff erential systems with delay are proposed. Using new technique for constructing the invariant sets of diff erential systems, we generalize known positivity conditions for linear and nonlinear diff erential systems with respect to typical classes of cones. In addition, we generalize the comparison principle for a finite set of diff erential systems and formulate robust stability conditions for some families of diff erential systems in terms of cone inequalities.
    Mathematics Subject Classification: Primary: 34D20, 47H07; Secondary: 34C12, 47A50.


    \begin{equation} \\ \end{equation}
  • 加载中
Open Access Under a Creative Commons license

Article Metrics

HTML views() PDF downloads(64) Cited by(0)

Access History

Other Articles By Authors



    DownLoad:  Full-Size Img  PowerPoint