Computational Singular Perturbation Method for Nonstandard Slow-Fast Systems

Fast and Slow Dynamics for the Computational Singular Perturbation Method

The Computational Singular Perturbation CSP method of Lam and Goussis is an iterative method to reduce the dimensionality of systems of ordinary di erential equations with multiple time scales In J Nonlin Sci to appear the authors showed that each iteration of the CSP algorithm improves the approxima tion of the slow manifold by one order In this paper it is shown that the CSP method simultaneo...

Geometry of the Computational Singular Perturbation Method

The Computational Singular Perturbation (CSP) method, developed by Lam and Goussis [Twenty-Second Symposium (International) on Combustion, The Combustion Institute, Pittsburgh, 1988, pp. 931–941], is a commonly-used method for finding approximations of slow manifolds in systems of ordinary differential equations (ODEs) with multiple time scales. The validity of the CSP method was established fo...

switching h2/h∞ controller design for linear singular perturbation systems

this paper undertakes the synthesis of a logic-based switching h2/h∞ state-feedback controller for continuous-time lti singular perturbation systems. our solution achieves a minimum bound on the h2 performance level, while also satisfying the h∞ performance requirements. the proposed hybrid control scheme is based on a fuzzy supervisor managing the combination of two controllers. a convex lmi-b...

A Computational Method for Solving Optimal Control Problem of Time-varying Singular Systems Using the Haar Wavelets

Analysis of the Computational Singular Perturbation Reduction Method for Chemical Kinetics

This article is concerned with the asymptotic accuracy of the Computational Singular Perturbation (CSP) method developed by Lam and Goussis [The CSP method for simplifying kinetics, Int. J. Chem. Kin. 26 (1994) 461–486] to reduce the dimensionality of a system of chemical kinetics equations. The method, which is generally applicable to multiple-time scale problems arising in a broad array of sc...