141 citations · 323 across the 16 of their papers we have counts for
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math.DS2014★ 3 cited
Further Results on Lyapunov-Like Conditions of Forward Invariance and Boundedness for a Class of Unstable Systems
A. N. Gorban, I. Yu. Tyukin, H. Nijmeijer
We provide several characterizations of convergence to unstable equilibria in nonlinear systems. Our current contribution is three-fold. First we present simple algebraic condition…
math.DS2009★ 11 cited
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…
math.DS2006★ 1 cited
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…