On Psi-conditional asymptotic stability of first order nonlinear matrix Lyapunov system

Authors

  • B. V. Appa Rao Department of Mathematics, Konenu Lakshmaiah University, Green Fields, Vaddeswaram-522 502, Guntur Dt., Andhra Pradesh, India.
  • G. SURESH KUMAR Department of Mathematics, Konenu Lakshmaiah University, Green Fields, Vaddeswaram-522 502, Guntur Dt., Andhra Pradesh, India.
  • M. S. N Murthy Department of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar 522510, Guntur, Andhrapradesh, ,India.
Abstract:

We provide necessary and sucient conditions for psi-conditional as-ymptotic stability of the solution of a linear matrix Lyapunov system and sucientconditions for psi -conditional asymptotic stability of the solution of a rst ordernon-linear matrix Lyapunov system X0 = A(t)X + XB(t) + F(t;X).

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Journal title

volume 4  issue 1

pages  7- 20

publication date 2013-01-01

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