Nguyen Thu Ha

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Abstract

Abstract.  This paper is concerned with the Bolh-Perron theorem for differential algebraic equations. We prove that the system
       E(t)x'(t)=B(t)x(t), t > t0                                         
is exponentially stable if and only if for any bounded input q, the equation


     E(t)x'(t)=B(t)x(t)+q(t), t > t0                                        
has a bounded solution.