141 citations · 323 across the 16 of their papers we have counts for
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Observers for canonic models of neural oscillators
David Fairhurst, Ivan Tyukin, Henk Nijmeijer +1
We consider the problem of state and parameter estimation for a wide class of nonlinear oscillators. Observable variables are limited to a few components of state vector and an inp…
Semi-passivity and synchronization of diffusively coupled neuronal oscillators
Erik Steur, Ivan Tyukin, Henk Nijmeijer
We discuss synchronization in networks of neuronal oscillators which are interconnected via diffusive coupling, i.e. linearly coupled via gap junctions. In particular, we present s…
Adaptive Observers and Parameter Estimation for a Class of Systems Nonlinear in the Parameters
Ivan Y. Tyukin, Erik Steur, Henk Nijmeijer +1
We consider the problem of asymptotic reconstruction of the state and parameter values in systems of ordinary differential equations. A solution to this problem is proposed for a c…
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…