• Publications
  • Influence
Avoiding Collisions in Flocks
  • F. Cucker, J. Dong
  • Mathematics, Computer Science
  • IEEE Transactions on Automatic Control
  • 5 February 2010
TLDR
We show that, for this modified model, convergence to flocking is established along the same lines while, in addition, avoidance of collisions (i.e., the respect of a minimal distance between particles) is ensured. Expand
  • 138
  • 8
The Plumbing of Land Surface Models: Benchmarking Model Performance
The Protocol for the Analysis of Land Surface Models (PALS) Land Surface Model Benchmarking Evaluation Project (PLUMBER) was designed to be a land surface model (LSM) benchmarking intercomparison.Expand
  • 158
  • 7
  • PDF
A General Collision-Avoiding Flocking Framework
  • F. Cucker, J. Dong
  • Mathematics, Computer Science
  • IEEE Transactions on Automatic Control
  • 20 January 2011
TLDR
We prove a general result of collision-avoiding flocking provided the initial state of the population does not show simultaneously very different velocities, very spread positions or very close agents. Expand
  • 83
  • 5
Complex Laplacians and Applications in Multi-Agent Systems
Complex-valued Laplacians have been shown to be powerful tools in the study of distributed coordination of multi-agent systems in the plane including formation shape control problems and setExpand
  • 11
  • 5
  • PDF
Stability analysis of switched systems with general nonlinear disturbances
  • J. Dong
  • Computer Science, Mathematics
  • Math. Comput. Model.
  • 1 October 2013
TLDR
We study the stability of switched systems with general nonlinear disturbances by using generalized Gronwall–Bellman inequalities. Expand
  • 10
  • 4
Synchronization analysis of Kuramoto oscillators
Abstract. In this paper, we study the original Kuramoto oscillators and the generalized Kuramoto oscillators with directed coupling topology. For the original Kuramoto model with identicalExpand
  • 60
  • 4
  • PDF
Stability of switched positive nonlinear systems
  • J. Dong
  • Mathematics
  • 25 September 2016
Summary This paper considers the stability problem for a class of switched positive nonlinear systems (SPNSs), which includes switched positive linear systems as a special case. We derive aExpand
  • 35
  • 3
ON THE CRITICAL EXPONENT FOR FLOCKS UNDER HIERARCHICAL LEADERSHIP
Very recently, a model for flocking was introduced by Cucker and Smale together with a proof of convergence. This proof established unconditional convergence to a common velocity provided theExpand
  • 43
  • 2
On the Decay Rates of Homogeneous Positive Systems of Any Degree With Time-Varying Delays
  • J. Dong
  • Mathematics, Computer Science
  • IEEE Transactions on Automatic Control
  • 19 March 2015
TLDR
We study the stability problem of homogeneous positive systems of any degree with time-varying delays. Expand
  • 19
  • 2
A conditional, collision-avoiding, model for swarming
We propose a model for swarming (i.e., cohesion preserving) that shares all the good properties of the CS-model for flocking. In particular, we show for this model that under strong interactions ofExpand
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