Spatio-temporal dynamics of reaction-diffusion patterns

B Fiedler, A Scheel - Trends in nonlinear analysis, 2003 - Springer
In this survey we look at parabolic partial differential equations from a dynamical systems
point of view. With origins deeply rooted in celestial mechanics, and many modern aspects …

Revisiting totally positive differential systems: A tutorial and new results

M Margaliot, ED Sontag - Automatica, 2019 - Elsevier
A matrix is called totally nonnegative (TN)[totally positive (TP)] if all its minors are
nonnegative [positive]. Multiplying a vector by a TN matrix does not increase the number of …

Hybrid event-triggered bipartite consensus control of multiagent systems and application to satellite formation

G Zhao, H Cui, C Hua - IEEE Transactions on Automation …, 2022 - ieeexplore.ieee.org
This work studies event-triggered bipartite consensus problem of multi-agent systems (MAS)
with structurally balanced signed graph. A hybrid system approach is proposed to deal with …

Event-triggered bipartite consensus for multiagent systems: A Zeno-free analysis

H Yu, X Chen, T Chen, F Hao - IEEE Transactions on Automatic …, 2019 - ieeexplore.ieee.org
In this article, the bipartite consensus of first-order multiagent systems with a connected
structurally balanced signed graph is studied. To reduce the communications among agents …

Adaptive bipartite consensus on coopetition networks

J Hu, H Zhu - Physica D: Nonlinear Phenomena, 2015 - Elsevier
In this paper, a bipartite consensus tracking problem is considered for a group of
autonomous agents on a coopetition network, on which the agents interact cooperatively …

Stability analysis of the ribosome flow model

M Margaliot, T Tuller - IEEE/ACM Transactions on …, 2012 - ieeexplore.ieee.org
Gene translation is a central process in all living organisms. Developing a better
understanding of this complex process may have ramifications to almost every biomedical …

[HTML][HTML] Design of Sturm global attractors 1: Meanders with three noses, and reversibility

B Fiedler, C Rocha - Chaos: An Interdisciplinary Journal of Nonlinear …, 2023 - pubs.aip.org
We systematically explore a simple class of global attractors, called Sturm due to nodal
properties, for the semilinear scalar parabolic partial differential equation (PDE) ut= ux x+ f …

Event-triggered bipartite consensus for multi-agent systems with antagonistic interactions

J Li, X Chen, F Hao, J Xie - … Journal of Control, Automation and Systems, 2019 - Springer
This paper investigates event-triggered control for first-order multi-agent systems with
structurally balanced signed graphs. A distributed continuous event-triggered consensus …

Bipartite tracking consensus of linear multi‐agent systems with a dynamic leader under signed digraph

X Zhang, W Han, X Liu - IET Control Theory & Applications, 2020 - Wiley Online Library
This study is concerned with the bipartite tracking consensus problem for linear multi‐agent
system over signed digraph, in which the leader agent owns a bounded control input that is …

A Lyapunov function for fully nonlinear parabolic equations in one spatial variable

P Lappicy, B Fiedler - São Paulo Journal of Mathematical Sciences, 2019 - Springer
Lyapunov functions are used in order to prove stability of equilibria, or to indicate a gradient-
like structure of a dynamical system. Zelenyak (1968) and Matano (1988) constructed a …