141 citations · 263 across the 6 of their papers we have counts for
3 papers · 1 filter
Leaders do not look back, or do they?
Alexander N. Gorban, Nick Jarman, Erik Steur +2
We study the effect of adding to a directed chain of interconnected systems a directed feedback from the last element in the chain to the first. The problem is closely related to t…
Lyapunov-like Conditions of Forward Invariance and Boundedness for a Class of Unstable Systems
A. Gorban, I. Tyukin, E. Steur +1
We provide Lyapunov-like characterizations of boundedness and convergence of non-trivial solutions for a class of systems with unstable invariant sets. Examples of systems to which…
Non-uniform Small-gain Theorems for Systems with Unstable Invariant Sets
Ivan Tyukin, Erik Steur, Henk Nijmeijer +1
We consider the problem of asymptotic convergence to invariant sets in interconnected nonlinear dynamic systems. Standard approaches often require that the invariant sets be unifor…