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A control theoretic analysis of red,”

by C V Hollot , Don Towsley Vishal Misra , Wei-Bo Gong - in Proceedings of the 20th Annual Joint Conference of the IEEE Computer and Communications Societies (INFOCOM ’01), , 2001
"... Abstract-In this paper we use a previously developed nonlinear dynamic model of TCP to analyze and design Active Queue Management (AQM) control systems using RED. First, we linearize the interconnection of TCP and a bottlenecked queue and discuss its feedback properties in terms of network paramete ..."
Abstract - Cited by 290 (8 self) - Add to MetaCart
Abstract-In this paper we use a previously developed nonlinear dynamic model of TCP to analyze and design Active Queue Management (AQM) control systems using RED. First, we linearize the interconnection of TCP and a bottlenecked queue and discuss its feedback properties in terms of network

The induction of dynamical recognizers

by Jordan B. Pollack - Machine Learning , 1991
"... A higher order recurrent neural network architecture learns to recognize and generate languages after being "trained " on categorized exemplars. Studying these networks from the perspective of dynamical systems yields two interesting discoveries: First, a longitudinal examination of the le ..."
Abstract - Cited by 225 (14 self) - Add to MetaCart
of the learning process illustrates a new form of mechanical inference: Induction by phase transition. A small weight adjustment causes a "bifurcation" in the limit behavior of the network. This phase transition corresponds to the onset of the network’s capacity for generalizing to arbitrary

for Induction Heating Load Characterization

by Lisa Fernandez Del Castillo, C Ertified, John G. Kassakian, Lisa Fernandez Del Castillo , 2012
"... Magnetic materials used in induction heating applications have nonlinear magnetic properties with respect to field strength and frequency, which can be effectively characterized using experimental techniques. To this end, we present a test bench inverter optimized for induction heating exper-imentat ..."
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Magnetic materials used in induction heating applications have nonlinear magnetic properties with respect to field strength and frequency, which can be effectively characterized using experimental techniques. To this end, we present a test bench inverter optimized for induction heating exper

Tracking control of nonlinear systems using sliding surfaces with application to robot manipulators

by J. J. Slotine, S. S. Sastry - International Journal of Control , 1983
"... We develop a methodology of feedback control to achieve accurate tracking in a class of non-linear, time-varying systems in the presence of disturbances and parameter variations. The methodology uses in its idealized form piecewise continuous feedback control, resulting in the state trajectory &apos ..."
Abstract - Cited by 157 (1 self) - Add to MetaCart
We develop a methodology of feedback control to achieve accurate tracking in a class of non-linear, time-varying systems in the presence of disturbances and parameter variations. The methodology uses in its idealized form piecewise continuous feedback control, resulting in the state trajectory

Coil sensitivity encoding for fast MRI. In:

by Klaas P Pruessmann , Markus Weiger , Markus B Scheidegger , Peter Boesiger - Proceedings of the ISMRM 6th Annual Meeting, , 1998
"... New theoretical and practical concepts are presented for considerably enhancing the performance of magnetic resonance imaging (MRI) by means of arrays of multiple receiver coils. Sensitivity encoding (SENSE) is based on the fact that receiver sensitivity generally has an encoding effect complementa ..."
Abstract - Cited by 193 (3 self) - Add to MetaCart
matrix ⌿ replaced by identity. Then unfolding is still ensured, yet at an SNR penalty, which generally will be the more marked the less equivalent the receivers are with respect to load, gain, and mutual coupling. Equation SENSE: Sensitivity Encoding for General Theory of Sensitivity Encoding Consider

Beyond Induction Variables

by Michael Wolfe , 1992
"... Induction variable detection is usually closely tied to the strength reduction optimization. This paper studies induction variable analysis from a different perspective, that of finding induction variables for data dependence analysis. While classical induction variable analysis techniques have been ..."
Abstract - Cited by 95 (6 self) - Add to MetaCart
been used successfully up to now, we have found a simple algorithm based on the the Static Single Assignment form of a program that finds all linear induction variables in a loop. Moreover, this algorithm is easily extended to find induction variables in multiple nested loops, to find nonlinear

GLOBAL WELL-POSEDNESS AND SCATTERING FOR THE ENERGY-CRITICAL NONLINEAR SCHRÖDINGER EQUATION in R³

by J. Colliander, M. Keel, G. Staffilani, H. Takaoka, T. Tao , 2004
"... We obtain global well-posedness, scattering, and global L 10 t,x spacetime bounds for energy-class solutions to the quintic defocusing Schrödinger equation in R 1+3, which is energy-critical. In particular, this establishes global existence of classical solutions. Our work extends the results of B ..."
Abstract - Cited by 114 (10 self) - Add to MetaCart
of Bourgain [4] and Grillakis [20], which handled the radial case. The method is similar in spirit to the induction-on-energy strategy of Bourgain [4], but we perform the induction analysis in both frequency space and physical space simultaneously, and replace the Morawetz inequality by an interaction variant

Linear invariant generation using non-linear constraint solving

by Michael A. Colón, Sriram Sankaranarayanan, Henny B. Sipma - IN COMPUTER AIDED VERIFICATION , 2003
"... We present a new method for the generation of linear invariants which reduces the problem to a non-linear constraint solving problem. Our method, based on Farkas' Lemma, synthesizes linear invariants by extracting non-linear constraints on the coefficients of a target invariant from a program. ..."
Abstract - Cited by 109 (14 self) - Add to MetaCart
. These constraints guarantee that the linear invariant is inductive. We then apply existing techniques, including specialized quantifier elimination methods over the reals, to solve these non-linear constraints. Our method has the advantage of being complete for inductive invariants. To our knowledge

CASCADED NONLINEAR RECEDING-HORIZON CONTROL OF INDUCTION MOTORS

by R. Hedjar, P. Boucher, D. Dumur
"... Abstract: In this paper the optimal nonlinear receding-horizon control structure is presented with application to induction motors in cascade structure, which provides global asymptotic tracking of smooth speed and flux trajectories. The controller is based on a finite horizon continuous time minimi ..."
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Abstract: In this paper the optimal nonlinear receding-horizon control structure is presented with application to induction motors in cascade structure, which provides global asymptotic tracking of smooth speed and flux trajectories. The controller is based on a finite horizon continuous time

LC Compensators for Power Factor Correction of Nonlinear Loads

by Mohamed Mamdouh, Abdel Aziz, Essam El-din, Abou El-zahab, Ahmed Mohamed Ibrahim, Ahmed Faheem Zobaa
"... Abstract—A method is presented for finding the optimum fixed LC compensator for power factor correction of nonlinear loads where both source voltage and load current harmonics are present. The LC combination is selected because pure capacitive capacitors alone would not sufficiently correct the powe ..."
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Abstract—A method is presented for finding the optimum fixed LC compensator for power factor correction of nonlinear loads where both source voltage and load current harmonics are present. The LC combination is selected because pure capacitive capacitors alone would not sufficiently correct
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