• Title of article

    On ᵾ -Conditional Asymptotic Stability of First Order Non-Linear Matrix Lyapunov Systems

  • Author/Authors

    Suresh Kumar, G Department of Mathematics - Konenu Lakshmaiah University - Green Fields - Vaddeswaram - Andhra Pradesh, India , Appa Rao, B. V Department of Mathematics - Konenu Lakshmaiah University - Green Fields - Vaddeswaram - Andhra Pradesh, India , Murthy, M. S. N Department of Mathematics - Acharya Nagarjuna University - Nagarjuna Nagar - Andhrapradesh, India

  • Pages
    14
  • From page
    7
  • To page
    20
  • Abstract
    We provide necessary and sufficient conditions for -conditional asymptotic stability of the solution of a linear matrix Lyapunov system and sufficient conditions for We provide necessary and sufficient conditions for ᵾ-conditional asymptotic stability of the solution of a linear matrix Lyapunov system and sufficient conditions for ᵾ-conditional asymptotic stability of the solution of a rst order non-linear matrix Lyapunov system X0 = A(t)X + XB(t) + F(t;X).-conditional asymptotic stability of the solution of a rst order non-linear matrix Lyapunov system X0 = A(t)X + XB(t) + F(t;X).
  • Keywords
    Fundamental Matrix , ᵾ-Bounded , ᵾ-Stable , ᵾ-Conditional Asymptotic Stable
  • Journal title
    Astroparticle Physics
  • Serial Year
    2013
  • Record number

    2440664