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» A New Approach for Solving Nonlinear Equations Systems
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DAC
2003
ACM
14 years 28 days ago
Symbolic analysis of analog circuits with hard nonlinearity
A new methodology is presented to solve a strongly nonlinear circuit, characterized by Piece-Wise Linear (PWL) functions, symbolically and explicitly in terms of its circuit param...
Alicia Manthe, Zhao Li, C.-J. Richard Shi
CORR
1998
Springer
105views Education» more  CORR 1998»
13 years 7 months ago
Solving Degenerate Sparse Polynomial Systems Faster
Abstract. Consider a system F of n polynomial equations in n unknowns, over an algebraically closed field of arbitrary characteristic. We present a fast method to find a point in...
J. Maurice Rojas
GECCO
2004
Springer
14 years 1 months ago
Limit Cycle Prediction in Multivariable Nonlinear Systems Using Genetic Algorithms
Abstract. This paper presents an intelligent method based on multiuobjective genetic algorithm (MOGA) for prediction of limit cycle in multivariable nonlinear systems. First we add...
Farzan Rashidi, Mehran Rashidi
CP
2008
Springer
13 years 9 months ago
A New Framework for Sharp and Efficient Resolution of NCSP with Manifolds of Solutions
When numerical CSPs are used to solve systems of n equations with n variables, the preconditioned interval Newton operator plays two key roles: First it allows handling the n equat...
Alexandre Goldsztejn, Laurent Granvilliers
CDC
2008
IEEE
143views Control Systems» more  CDC 2008»
14 years 2 months ago
On the use of numerical methods for analysis and control of nonlinear convective systems
Abstract— A common approach to designing feedback controllers for nonlinear partial differential equations (PDEs) is to linearize the system about an equilibrium and use the line...
Edward Allen, John A. Burns, David S. Gilliam