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We present new necessary and sufficient conditions for the existence of fixed points in a finite system of coupled phase oscillators on a complete graph. We use these conditions to derive bounds on the critical coupling.

In a typical perceptual identification task, a word is presented for a few milliseconds and masked; then subjects are asked to report the word. It has been found that an earlier presentation of the test word will improve identification of the test word by as much as 30%. In addition, this facilitation has been shown to be preserved under amnesia. In this… (More)

We extend recent results [50] on the existence of global phase-locked states (GPLS) in the Kuramoto model on a complete graph to the case of a complete bipartite graph. In particular, we prove that, for the Kuramoto model on a complete bipartite graph, the value of the critical coupling coefficient can be determined by solving a system of two nonlinear… (More)

We extend two fundamental properties of positive linear time-invariant (LTI) systems to homogeneous cooperative systems. Specifically, we demonstrate that such systems are-stable, meaning that global asymptotic stability is preserved under diagonal scaling. We also show that a delayed homogeneous cooperative system is globally asymptotically stable (GAS)… (More)

- M H A Verwoerd, W H M Zijm, Imelda, Sheela, Velma
- 1977

(DISC) for graduate study. No part of this work may be reproduced by print, photocopy or any other means without the permission in writing from the author. PROEFSCHRIFT ter verkrijging van de graad van doctor aan de Universiteit Twente, op gezag van de rector magnificus, prof. dr. I would like to thank my international friends, for granting me, a foreigner,… (More)

- Mark H A Verwoerd, Gjerrit Meinsma, J A The, De Vries
- 2004

A b s t r a c t This paper advocates a new approach to study the relation between causal Iterative Learning Control (ILC) and conventional feedback control. Central to this approach is the introduction of the set of admissable pairs (of operators) defined with respect to a family of iterations. Considered are two problem settings: standard ILC, which does… (More)

A survey of the use of graph theoretical techniques in Biology is presented. In particular, recent work on identifying and modelling the structure of bio-molecular networks is discussed, as well as the application of centrality measures to interaction networks and research on the hierarchical structure of such networks and network motifs. Work on the link… (More)

Filtering for a class of nonlinear discrete-time stochastic systems with state delays, " J. A delay-dependent approach to H filtering for stochastic delayed jumping systems with sensor nonlinearities, " Int. Delay-dependent stabilization of stochastic interval delay systems with nonlinear disturbances, " Syst. filtering for uncertain differential linear… (More)

This paper revisits a well-known synthesis problem in iterative learning control, where the objective is to optimize a performance criterion over a class of causal iterations. The approach taken here adopts an infinite-time setting and looks at limit behavior. The first part of the paper considers iterations without current-cycle-feedback (CCF) term. A… (More)

Preamble The use of new technology and mathematics to study the systems of nature is one of the most significant scientific trends of the century. Driven by the need for more precise scientific understand, advances in automated measurement are providing rich new sources of biological and physiological data. This data provides information with which to… (More)