On the stability properties of perturbed linear nonstationary systems |
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| Authors: | M Vidyasagar A Boyarsky A Vannelli |
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| Institution: | 2. Department of Electrical Engineering, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada;3. Department of Mathematics, Concordia University, Montreal, Quebec H3G 1M8, Canada |
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| Abstract: | Several results are presented that relate the stability properties of a perturbed linear nonstationary system ?(t) = (A(t) + B(t)) x(t) to those of an unperturbed linear system ?(t) = A(t) x(t). Similarly, the stability properties of the discrete system xk + 1 = (Ak + Bk) xk are related to those of xk + 1 = Akxk. |
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