Title :
The complete canonical piecewise-linear representation. I. The geometry of the domain space
Author :
Kahlert, Claus ; Chua, Leon O.
Author_Institution :
Inst. for Phys. & Theor. Chem., Tubingen Univ., Germany
fDate :
3/1/1992 12:00:00 AM
Abstract :
Continuous piecewise-linear functions from Rn to Rm are analyzed in terms of the dimensions of their domain space and of degenerate kth-order intersections of region boundaries. The theory developed demonstrates how these two quantities are connected. Moreover, the exact number of independent parameters is demonstrated for boundary configurations containing degenerate intersections of arbitrary orders
Keywords :
control system analysis; nonlinear control systems; nonlinear network analysis; piecewise-linear techniques; boundary configurations; canonical piecewise-linear representation; degenerate intersections; domain space geometry; piecewise-linear functions; Circuit analysis; Electric breakdown; Geometry; Jacobian matrices; Nonlinear circuits; Piecewise linear techniques; Suspensions;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
