Grid approximation schemes for constructing value functions and optimal feedbacks in problems of guaranteed control are proposed via theory of generalized (minimax, viscosity) solutions of Hamilton-Jacobi equations. Value functions in optimal control problems are usually nondifferentiable and corresponding feedbacks have the discontinuous switching character. Therefore, constructions of general...

Humans are an integral component of ecosystems, just as the products of ecosystems are critical to social systems. To understand the future state of the boreal forest, we must understand the ecological, social, economic, and business interactions that link ecological and social systems into a common regional system, as well as the feedbacks that govern changes in these interactions. We analyze ...

Advanced methods of theory of optimal guaranteeing control and techniques of generalized (viscosity, minimax) solutions of Hamilton-Jacobi equations are applied to nonzero sum game interaction between two large groups (coalitions) of agents (participants) arising in economic and biological evolutionary models. Random contacts of agents from different groups happen according to a control dynamic...

Through the dynamical coupling between ocean and atmosphere, the vertical advection of anomalous subsurface temperature by the mean upwelling and the zonal advection of mean sea surface temperature (SST) by anomalous current constitute the so-called the thermocline and zonal advective feedbacks that are essential for El Nifio / Southern Oscillation (ENSO) coupled dynamics. In this paper, we dem...

Collaborative recommendation (CR) is a fundamental enabling technology for providing highquality personalization services in various online and offline applications. Collaborative recommendation with heterogeneous explicit feedbacks (CR-HEF) such as 5-star grade scores and like/dislike binary ratings is a new and important problem, because it provides a rich and accurate source for learning use...

We consider chained systems that model various systems of mechanical or biological origin. It is known according to Brockett that this class of systems, which are controllable, is not stabilizable by continuous stationary feedback (i.e. independent of time). Various approaches have been proposed to remedy this problem, especially instationary or discontinuous feedbacks. Here, we look at another...

Despite progress in recent years in understanding cloud processes and feedbacks in General Circulation Models (GCMs; Bony et al., 2006; Stephens 2005), knowledge is lacking about the physical mechanisms of cloud feedbacks and the causes of model-to-model variation in simulated cloud feedbacks. These issues are related to several factors: (1) the transient and spatial variability of clouds is ty...

Our previous works have introduced the Tsaap-notes platform dedicated to the semi automatic generation of multiple choice questionnaire providing feedbacks: it reuses interactive questions asked by teachers during lectures, as well as the notes taken by students after the presentation of the results as feedbacks integrated into the quizzes. In this paper, we introduce a new feature which aims a...

The coupled evolution of land plants, CO2, and climate over the last half billion years has maintained atmospheric CO2 concentrations within finite limits, indicating the involvement of a complex network of geophysiological feedbacks. But insight into this important regulatory network is extremely limited. Here we present a systems analysis of the physiological and geochemical processes involve...

this paper describes the last achievements on the susceptibility to RF interference (RFI) of smart power system on chip. To this purpose, a PWM voltage-mode switching mode power supply (SMPS) has been designed (including the control unit) and a complete analysis about RFI effects on the control circuit operation has been carried out by computer simulations. In particular, it is pointed out that...