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Linear Differential Equations with Positive Evolution on Ordered Banach Spaces

In: Mathematical Methods in Robust Control of Linear Stochastic Systems

Author

Listed:
  • Vasile Dragan

    (Institute of Mathematics of the Romanian Academy)

  • Toader Morozan

    (Institute of Mathematics of the Romanian Academy)

  • Adrian-Mihail Stoica

    (University Politechnica of Bucharest)

Abstract

In this chapter the problem of exponential stability of the zero state equilibrium of a class of linear differential equations on a real ordered Banach space is investigated. The linear differential equations under consideration named differential equations with positive evolution are defined by a special class of strongly continuous operator valued functions. These differential equations are natural extensions to the time-varying case of linear differential equations with constant coefficients on an ordered Banach space defined by a linear and bounded operator with positive semigroup.

Suggested Citation

  • Vasile Dragan & Toader Morozan & Adrian-Mihail Stoica, 2013. "Linear Differential Equations with Positive Evolution on Ordered Banach Spaces," Springer Books, in: Mathematical Methods in Robust Control of Linear Stochastic Systems, edition 2, chapter 0, pages 39-120, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4614-8663-3_2
    DOI: 10.1007/978-1-4614-8663-3_2
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