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• W2897102007 abstract "We consider the class of real second-order linear dynamical systems that admit real diagonal forms with the same eigenvalues and partial multiplicities. The nonzero leading coefficient is allowed to be singular, and the associated quadratic matrix polynomial is assumed to be regular. We present a method and algorithm for converting any such n-dimensional system into a set of n mutually independent second-, first-, and zeroth-order equations. The solutions of these two systems are related by a real, time-dependent, and nonlinear n-dimensional transformation. Explicit formulas for computing the $$2n times 2n$$ real and time-invariant equivalence transformation that enables this conversion are provided. This paper constitutes a complete solution to the problem of diagonalizing a second-order linear system while preserving its associated Jordan canonical form." @default.
• W2897102007 created "2018-10-26" @default.
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• W2897102007 creator A5069616286 @default.
• W2897102007 creator A5083006616 @default.
• W2897102007 date "2018-10-11" @default.
• W2897102007 modified "2023-10-16" @default.
• W2897102007 title "Decoupling of second-order linear systems by isospectral transformation" @default.
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• W2897102007 doi "https://doi.org/10.1007/s00033-018-1030-x" @default.
• W2897102007 hasPublicationYear "2018" @default.
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