On linear topological conjugacy of Lur'e systems
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In this letter, we prove several results regarding linear conjugacy between Lur'e systems. For example, we prove that except for a measure zero set, two Lur'e systems are linearly conjugate if they share an equilibrium point and the eigenvalues of the Jacobian matrices are matched at every point. A corollary of that result is that piecewise-linear vector fields with parallel boundary planes are determined, up to linear conjugacy, by the boundary planes, the equilibrium points and the eigenvalues in each region.
[1] Ute Feldmann,et al. Linear conjugacy of n-dimensional piecewise linear systems , 1994 .
[2] L. Kocarev,et al. Linear conjugacy of vector fields in Lur'e form , 1996 .
[3] Chi-Tsong Chen,et al. Linear System Theory and Design , 1995 .
[4] Leon O. Chua,et al. Global unfolding of Chua's circuit , 1993 .
[5] Motomasa Komuro. Normal forms of continuous piecewise linear Vector fields and chaotic attractors Part II: chaotic attractors , 1988 .