Title :
Linear conjugacy of n-dimensional piecewise linear systems
Author :
Feldmann, Ute ; Schwarz, Wolfgang
Author_Institution :
Inst. of Principles of Electr. & Electron. Eng., Tech. Univ. Dresden, Germany
fDate :
2/1/1994 12:00:00 AM
Abstract :
A proof is given that n-dimensional systems characterized by a piecewise linear continuous vector field with odd symmetry and three linear regions are linearly conjugate if their sets of eigenvalues are identical. For this the eigenvalues in the inner region are assumed to be pairwise distinct
Keywords :
eigenvalues and eigenfunctions; matrix algebra; multidimensional systems; nonlinear dynamical systems; nonlinear systems; piecewise-linear techniques; eigenvalue set; linear conjugacy; n-dimensional piecewise linear systems; nonlinear dynamic systems; odd symmetry; pairwise distinct eigenvalues; piecewise linear continuous vector field; transformation matrix; Circuits; Constraint theory; Design methodology; Differential equations; Eigenvalues and eigenfunctions; Jacobian matrices; Piecewise linear approximation; Piecewise linear techniques; Vectors;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
