On the Stability and Boundedness of Solutions of Aizermann Vector Differential Equations
On the Stability and Boundedness of Solutions of Aizermann Vector...
The objective of this paper is to examine certain sufficient conditions for uniform asymptotic stability of trivial solution and uniform ultimate boundedness of all solutions to a certain Aizermann vector differential equation. By constructing an appropriate complete Lyapunov function, we provide sufficient conditions that guarantee the qualitative properties mentioned above. The results of this paper are solutions to the open problems contained in Ezeilo.
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