Name
Title | ||
|---|---|---|
Invariance of Conjunctions of Polynomial Equalities for Algebraic Differential Equations. |
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. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1007/978-3-319-10936-7_10 | Lecture Notes in Computer Science |
Keywords | Field | DocType |
reasoning,polynomials,differential equations,set theory,efficiency,dynamics,hybrid systems,lie groups,logic,automation,verification,computations,behavior,invariance | Differential equation,Algebraic number,Polynomial,Ordinary differential equation,Algebra,Computer science,Algebraic differential equation,Differential algebraic geometry,Theoretical computer science,Dynamical systems theory,Invariant (mathematics) | Conference |
Volume | ISSN | Citations |
8723 | 0302-9743 | 3 |
PageRank | References | Authors |
0.39 | 17 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Khalil Ghorbal | 1 | 42 | 5.34 |
| Andrew Sogokon | 2 | 19 | 6.16 |
| André Platzer | 3 | 1425 | 82.57 |