Projects per year

## Fingerprint Dive into the research topics where Amir Ali Ahmadi is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

- 2 Similar Profiles

Polynomials
Engineering & Materials Science

Lyapunov functions
Engineering & Materials Science

Sum of squares
Mathematics

Polynomial
Mathematics

Lyapunov Function
Mathematics

Convexity
Mathematics

Semidefinite Programming
Mathematics

Joint Spectral Radius
Mathematics

##
Network
Recent external collaboration on country level. Dive into details by clicking on the dots.

## Projects 2014 2021

## Exploiting Geometry in the Design of Scalable Algebraic Relaxations for Nonconvex Polynomial Optimization

Defense Advanced Research Projects Agncy

8/14/17 → 8/13/20

Project: Research project

Polynomials

Geometry

## CAREER: Polynomial Optimization and Dynamical Systems

NSF - National Science Foundation

2/1/16 → 1/31/21

Project: Research project

Dynamical system

Polynomial

Optimization

## Scalable Algorithms with Formal Guarantees for Lyapunov Analysis of Control Systems via Algebraic Optimization

Air Force Office of Scientific Research

9/1/14 → 8/31/17

Project: Research project

Control systems

## Research Output 2006 2019

## On the complexity of detecting convexity over a box

Ahmadi, A. A. & Hall, G., Jan 1 2019, In : Mathematical Programming.Research output: Contribution to journal › Article

Convexity

NP-complete problem

Polynomials

Polynomial

Testing

## On the complexity of testing attainment of the optimal value in nonlinear optimization

Ahmadi, A. A. & Zhang, J., Jan 1 2019, In : Mathematical Programming.Research output: Contribution to journal › Article

Nonlinear Optimization

Polynomials

Testing

NP-complete problem

Semidefinite Programming

## Polynomial norms

Ahmadi, A. A., Klerk, E. D. E. & Hall, G., Jan 1 2019, In : SIAM Journal on Optimization. 29, 1, p. 399-422 24 p.Research output: Contribution to journal › Article

Polynomials

Norm

Polynomial

Positive definite

Sum of squares

## A globally asymptotically stable polynomial vector field with rational coefficients and no local polynomial Lyapunov function

Ahmadi, A. A. & El Khadir, B., Nov 1 2018, In : Systems and Control Letters. 121, p. 50-53 4 p.Research output: Contribution to journal › Article

Lyapunov functions

Polynomials

1
Citation
(Scopus)

## DC decomposition of nonconvex polynomials with algebraic techniques

Ahmadi, A. A. & Hall, G., May 1 2018, In : Mathematical Programming. 169, 1, p. 69-94 26 p.Research output: Contribution to journal › Article

Convex Decomposition

Polynomials

Decomposition

Decompose

Polynomial