An algorithm of analysis of the stability of linear periodic systems and its computer realization (Q1173927)

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scientific article; zbMATH DE number 7781
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English
An algorithm of analysis of the stability of linear periodic systems and its computer realization
scientific article; zbMATH DE number 7781

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    An algorithm of analysis of the stability of linear periodic systems and its computer realization (English)
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    25 June 1992
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    Linear continuous-time systems are considered with periodic coefficients being finite Fourier sums. A Lyapunov function is constructed by considering quadratic forms having a coefficient matrix with the same property. Then the parameters of this Lyapunov functions are determined from a corresponding mathematical programming problemming problem with minimax criterion. Convergence of the resulting algorithm is proved and examples for its computer realization are given.
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    time-dependent
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