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
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
