288 citations · 1.1k across the 43 of their papers we have counts for
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Identification and Control of Symmetric Systems
R. O. Grigoriev
In a recent paper [Phys. Rev. E 57, p. 1550 (1998)] we demonstrated that the symmetries of the evolution equation and the target state have a profound effect on the selection of th…
Localized Optimal Control of Spatiotemporal Chaos
Roman O. Grigoriev, Sanjay G. Lall, Geir E. Dullerud
A linear output feedback control scheme is developed for a coupled map lattice system. H-infinity control theory is used to make the scheme local: both the collection of informatio…
Controlling Physical Systems with Symmetries
R. O. Grigoriev, M. C. Cross
Symmetry properties of the evolution equation and the state to be controlled are shown to determine the basic features of the linear control of unstable orbits. In particular, the…
A Solvable Model for Spatiotemporal Chaos
R. O. Grigoriev, H. G. Schuster
We show that the dynamical behavior of a coupled map lattice where the individual maps are Bernoulli shift maps can be solved analytically for integer couplings. We calculate the i…
Pinning Control of Spatiotemporal Chaos
R. O. Grigoriev, M. C. Cross, H. G. Schuster
Linear control theory is used to develop an improved localized control scheme for spatially extended chaotic systems, which is applied to a Coupled Map Lattice as an example. The o…