Title :
On the controllability of piecewise-linear hypersurface systems
Author :
Lee, Kyun K. ; Arapostathis, Aristotle
Author_Institution :
Department of Electrical and Computer Engineering, The University of Texas at Austin, Austin, Texas 78712
Abstract :
This paper investigates the global controllability of piecewise-linear (hypersurface) systems, which are defined as control systems that are subject to affine dynamics on each of the components of a finite polyhedral partition. Various new tools are developed for the study of the problem including a classification of the facets of the polyhedra in the partition. Necessary and sufficient conditions for complete controllability are obtained via the study of a suitably defined controllability connection matrix of polyhedra.
Keywords :
Algebra; Control systems; Controllability; Interpolation; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear equations; Nonlinear systems; Piecewise linear techniques; Tellurium;
Conference_Titel :
American Control Conference, 1987
