Accession Number:

ADA622294

Title:

Invariance of Conjunctions of Polynomial Equalities for Algebraic Differential Equations

Descriptive Note:

Conference paper preprint

Corporate Author:

CARNEGIE-MELLON UNIV PITTSBURGH PA SCHOOL OF COMPUTER SCIENCE

Report Date:

2014-07-01

Pagination or Media Count:

38.0

Abstract:

In this paper we seek to provide greater automation for formal deductive verification tools working with continuous and hybrid dynamical systems. We present an efficient procedure to check invariance of conjunctions of polynomial equalities under the flow of polynomial ordinary differential equations. The procedure is based on a necessary and sufficient condition that characterizes invariant conjunctions of polynomial equalities. We contrast this approach to an alternative one which combines fast and sufficient but not necessary conditions using differential cuts for soundly restricting the system evolution domain.

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE