We show that for a subanalytic function / on a locally compact subanalytic set X there exists a unique subanalytic triangulation (a simplicial complex K , a subanalytic homeomorphism n: \K\ —► X) such that f o n\a , a 6 K , are linear. Let X be a subanalytic set contained and closed in a Euclidean space. A subanalytic triangulation of X is a pair (K , n) where K isa simplicial complex and n is ...

Piecewise affine systems are systems with a piecewise defined state equation. The continuous dynamics of these systems are affine but switch at the boundaries of certain subsets of the state-space. At these boundaries sliding modes may occur. A method will be presented to obtain a discrete-time system from a given continuous-time piecewise affine system. This method takes into account sliding m...

For discontinuous switched linear systems, even when they are built by composing stable systems, examples of unstable systems are known. Here, threedimensional homogeneous continuous piecewise linear systems composed by two linear systems sharing a boundary plane are considered. If the two linearization matrices are non-singular, then the only equilibrium point is at the origin, which is in the...

Zimmermann has shown that the fuzzy multi-objective program (FMOP) can be reduced to a standard linear program. While a linear membership function allows an easy conversion of FMOP into a linear programming problem, it should be obvious that such a function may be unsuitable for certain problems. It is generally admitted that membership functions are most likely nonlinear. One of the promising ...

Input{output linearization is a method that uses nonlinear state feedback control to obtain linear equations between the input and output of a nonlinear control system. Its success depends crucially on the ability of the control to steer the state across the level sets of the output function. It is clear that this is essentially a global geometrical problem. In this work, we present a lineariza...

We consider region of interest (ROI) tomography of piecewise constant functions. We prove that continuous ROI data determine piecewise constant functions. Additionally, an algorithm is developed for ROI tomography of piecewise constant functions using a Haar wavelet basis. A weighted `p–penalty is used with weights that depend on the relative location of wavelets to the region of interest. We p...

www.mathworks.com Two approaches are available for modeling mechanical friction: continuous and locking. The method you select depends on the system being modeled and on your simulation goals. This article describes methods for modeling and simulating continuous and hybrid continuous-locking mechanical friction using Simulink, Simscape, SimDriveline, and SimMechanics. Topics covered include: • ...