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Nonlinear Risk

SSRN Electronic Journal, 1999
This paper analyzes the joint time-series properties of the level and volatility of expected excess stock returns. An unobservable dynamic factor is constructed as a nonlinear proxy for the market risk premia with its first moment and conditional volatility driven by a latent Markov variable.
Marcelle Chauvet, Simon M. Potter
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Nonlinear optics

Proceedings of the IEEE, 1966
Recent advances in the field of nonlinear optical phenomena are reviewed with particular emphasis placed on such topics as parametric oscillation, self-focusing and trapping of laser beams, and stimulated Raman, Rayleigh, and Brillouin scattering.
R W, Minck, R W, Terhune, C C, Wang
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Nonlinear Gossip

SIAM Journal on Control and Optimization, 2016
Summary: We consider a gossip-based distributed stochastic approximation scheme wherein processors situated at the nodes of a connected graph perform stochastic approximation algorithms, modified further by an additive interaction term equal to a weighted average of iterates at neighboring nodes along the lines of ``gossip'' algorithms.
MATHKAR, AS, BORKAR, VS
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Nonlinear controllers for nonlinear systems with input nonlinearities

Proceedings of the 36th IEEE Conference on Decision and Control, 1999
The authors consider control systems of the type \[ \dot x= f(x,\sigma(u)),\quad x(0)= x_0,\quad t\geq 0, \] where \(\sigma\) denotes an input nonlinearity -- in many cases saturation -- and present a methodology for designing globally stabilizing nonlinear controllers.
Haddad, Wassim M.   +2 more
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Nonlinear controllers for nonlinear passive systems with arbitrary input nonlinearities

Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334), 2000
A nonlinear dynamic compensator framework for nonlinear passive systems with arbitrary input nonlinearities is proposed. For this class of systems we prove global closed-loop stability by modifying the dynamic compensator to include a suitable input nonlinearity.
Wassim M. Haddad 0001   +1 more
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A nonlinear philosophy for nonlinear systems

Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187), 2002
A framework for system analysis and design is described based on nonlinear system models and nonperiodic signals generated by nonlinear systems. The proposed approach to analysis of nonlinear systems is based on an excitability index-a nonlinear counterpart of the magnitude frequency response of linear systems.
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Nonlinear Complex Programming with Nonlinear Constraints

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1977
AbstractFollowing Mond [8, 9] a duality theory for nonlinear complex programming problems over polyhedral cones with nonlinear constraints is developed by making use of the linear duality theory.
Das, C., Swarup, K.
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Identification of nonlinear systems with nonlinear parameterization

2015 European Control Conference (ECC), 2015
A contraction based identification scheme for systems with nonlinear parameterizations is developed in this paper. Given a system with a general parameterization, an identification model is proposed such that time evolution of estimation error is composed by two blocks of parameterization: one linear and one nonlinear function of linear ...
A. Flores-Perez   +2 more
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Nonlinear structural modification and nonlinear coupling

Mechanical Systems and Signal Processing, 2014
Structural modification methods were proved to be very useful for large structures, especially when modification is local. Although there may be inherent nonlinearities in a structural system in various forms such as clearances, friction and cubic stiffness, almost all of the structural modification methods are for linear systems.
Taner KalaycIoğlu, H. Nevzat Özgüven
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