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Increasing the real stability boundary of explicit methods

✍ Scribed by B.P. Sommeijer

Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
832 KB
Volume
19
Category
Article
ISSN
0898-1221

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✦ Synopsis

Based on the simplest well-known integration rules (such as the forward Euler scheme and the "classical" Runge--Kutta method), an extension is proposed to enlarge the real stability boundary. The main characteristic of the resulting schemes is that the computational complexity is hardly increased.

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This paper presents an explicit non-iterative method for computing the positive real matrices and Youla's spectral factorization of a MIMO SPR system. All the computations are performed based on a minimal state space realization (A, B, C, D) with no restriction on D. The algorithm is tested on a sev