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

Publish place: International Journal of Nonlinear Analysis and Applications، Vol: 4، Issue: 1
Publish Year: 1392
نوع سند: مقاله ژورنالی
زبان: English
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لینک ثابت به این Paper:
https://civilica.com/doc/1562038

شناسه ملی سند علمی:

JR_IJNAA-4-1_002

تاریخ نمایه سازی: 11 آذر 1401

Abstract:

We provide necessary and sufficient conditions for psi-conditional asymptotic stability of the solution of a linear matrix Lyapunov system and sufficient conditions for psi -conditional asymptotic stability of the solution of a first order non-linear matrix Lyapunov system X' = A(t)X + XB(t) + F(t,X).

Keywords:

fundamental matrix , Psi-bounded , Psi-stable , Psi-conditional asymptotic stable

Authors

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Department of Mathematics, Konenu Lakshmaiah University, Green Fields, Vaddeswaram-۵۲۲ ۵۰۲, Guntur Dt., Andhra Pradesh, India

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Department of Mathematics, Konenu Lakshmaiah University, Green Fields, Vaddeswaram-۵۲۲ ۵۰۲, Guntur Dt., Andhra Pradesh, India

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Department of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar ۵۲۲۵۱۰, Guntur, Andhrapradesh, India