A new multivariable controller for cement milling circuits is presented, which is based on a nonlinear model of the circuit and on a nonlinear predictive control strategy. Comparisons with previous LQ control strategies show improved performances with respect to an important source of perturbations of the circuit: a change of hardness of the raw material.

Anisotropic cosmological spacetimes are constructed from spherically symmetric solutions to Einstein’s equations coupled to nonlinear electrodynamics and a positive cosmological constant. This is accomplished by finding solutions in which the roles of r and t are interchanged for all r > 0 (i.e. r becomes timelike and t becomes spacelike). Constant time hypersurfaces have topology R × S and in ...

The general objective of this research is to extend our knowledge of the properties of electric networks, active or passive, reciprocal or nonreciprocal, linear or nonlinear. The topics that are being investigated are: (a) circuit models of linear nonreciprocal networks; (b) topological methods of analysis for linear nonreciprocal networks; (c) properties of RC networks that contain dynamically...

Lie theory, initially developed by Sophus Lie, is a fundamental part of mathematics. The areas it touches contain classical, differential, and algebraic geometry, topology, ordinary and partial differential equations, complex analysis and ect. And it is also an essential chapter of contemporary mathematics. A development of it is the Uniformization Theorem for Riemann surface. The final proof o...

It is shown that the estimation of nonlinear distortions in the various circuits based on the measurement of the ratio of the dispersion and correlation functions does not depend on the level of additive noise acting on the input (or output) of nonlinear circuit. The proposed theoretical method is confirmed by experimental measurements.

A state-variable-based approach to the impulse response and convolution analysis of distributed microwave circuits is developed. The state-variable approach minimizes computation time and memory requirements. It allows the use of parameterized nonlinear device models, thus improving robustness. Soliton generation on a nonlinear transmission line is considered as an example.

Most high-level sensory neurons have complex, nonlinear response properties; a comprehensive characterization of these properties remains a formidable challenge. Recent studies using complex sensory stimuli combined with linear and nonlinear analyses have provided new insights into the neuronal response properties in various sensory circuits.

Nonlinear functions can be approximated by the linear combination of base functions, which provides a road towards the analog synthesis. An improved Simulated Annealing Algorithm(SA) for nonlinear function approximation and a universal implementation of analog circuits are presented in this paper. Synthesis results demonstrate the validity and efficiency of the proposed approach.

In a setting where an infinite population of players interact locally and repeatedly, we study the impacts of payoff structures and network structures on contagion of a convention beyond 2 × 2 coordination games. First, we consider the “bilingual game”, where each player chooses one of two conventions or adopts both (i.e., chooses the “bilingual option”) at an additional cost. For this game, we...