This paper examines the application of linear optimal/robust control theory to a low-order nonlinear chaotic convection problem. Linear control feedback is found to be fully effective only when it is switched off while the state is far from the desired equilibrium point, relying on the attractor of the system to bring the state into a neighborhood of the equilibrium point before control is appl...

Frequency domain analysis of linear time-invariant (LTI) systems in feedback with static nonlinearities is a classical and fruitful topic of nonlinear systems theory. We generalize this approach beyond equilibrium stability analysis with the aim of characterizing feedback systems whose asymptotic behavior is low dimensional. We illustrate the theory with a generalization of the circle criterion...

*Correspondence: [email protected] 1College of Computer Science and Technology, Jilin University, Changchun, China 2College of Computer Science, Dalian Nationalities University, Dalian, China Full list of author information is available at the end of the article Abstract We study the global stability of endemic equilibrium of an SIS epidemic model with feedback mechanism on networks. The mo...

This paper explores the extent to which people learn in repeated games without feedback, and the extent to which this learning transfers to new games. Current theories of learning model learning as adjustment in behavior in response to feedback about outcomes and payoffs and largely ignore the possibility that learning may take place in the absence of such feedback. An earlier paper (Weber, in ...

the research was aimed at finding out the effects of the implementation of writing feedback techniques and students’ writing anxiety on students’ writing ablity. experimental method of 3x2 factorial design was employed in the research. there were three experimental groups of students who were taught by using teacher feedback, peer feedback and the combination of peer and teacher feedback writin...

Seller reputation generated by consumers leaving feedback is critical to foster trust in online marketplaces. Yet feedback may be under-provided if consumers are not rewarded to leave feedback. Signaling theory predicts that only high quality sellers would reward buyers for truthful feedback. We explore this scope for signaling using Taobao’s “reward-for-feedback” mechanism and find that items ...

In repeated number guessing games choices typically converge quickly to the Nash equilibrium. In positive expectations feedback experiments, however, convergence to the equilibrium price tends to be very slow, if it occurs at all. Both types of experimental designs have been suggested as modeling essential aspects of financial markets. In order to isolate the source of the differences in outcom...

In this paper, we present a further mathematical study on the report of existence of n-scroll chaotic attractors in a modified Chua’s circuit. A series of results based on mathematical theory are given. First, we show that the chaotic attractors of the modified Chua’s circuit are globally attractive, with estimations given for the globally attractive set and positive invariant set. Then, we stu...