Stability analysis of Volterra functional equations by realization theory |
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Authors: | Yu A Abdalova V Reitmann |
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Institution: | 1.St. Petersburg State University,St. Petersburg,Russia |
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Abstract: | The method of realization of input–output operators in the form of abstract discrete-time control systems and the frequency-domain method are used for the stability/instability analysis of a class of nonlinear Volterra functional equations. To this end, we construct an associated time-invariant abstract discrete-time control system in some weighted function spaces. |
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