arXiv Open Access 2007

On the Nonexistence of Quadratic Lyapunov Functions for Consensus Algorithms

Alex Olshevsky John N. Tsitsiklis

Lihat Sumber

Abstrak

We provide an example proving that there exists no quadratic Lyapunov function for a certain class of linear agreement/consensus algorithms, a fact that had been numerically verified in [5]. We also briefly discuss sufficient conditions for the existence of such a Lyapunov function.

Topik & Kata Kunci

math.OC

Penulis (2)

Alex Olshevsky

John N. Tsitsiklis

Format Sitasi

APA MLA BibTeX

Olshevsky, A., Tsitsiklis, J.N. (2007). On the Nonexistence of Quadratic Lyapunov Functions for Consensus Algorithms. https://arxiv.org/abs/0706.2876

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2007
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓