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Singular perturbations and time scales in control theory and applications: An overview
Desineni Subbaram Naidu
- Vol. 9, Iss: 2, pp 233-278
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This paper presents an overview of singular perturbations and time scales (SPaTS) in control theory and applications during the period 1984-2001 and is not intended to be an exhaustive survey on the topic.Abstract:
This paper presents an overview of singular perturbations and time scales (SPaTS) in control theory and applications during the period 1984-2001 (the last such overviews were provided by [231, 371]). Due to the limitations on space, this is in way intended to be an exhaustive survey on the topic.read more
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Social-ecological systems as complex adaptive systems : modeling and policy implications
Simon A. Levin,Tasos Xepapadeas,Anne-Sophie Crépin,Jon Norberg,Aart de Zeeuw,Carl Folke,Terry P. Hughes,Kenneth J. Arrow,Scott Barrett,Gretchen C. Daily,Paul R. Ehrlich,Nils Kautsky,Karl-Göran Mäler,Steve Polasky,Max Troell,Jeffrey R. Vincent,Brian Walker +16 more
TL;DR: Recent developments in modeling social-ecological systems are presented, some of these challenges are illustrated with examples related to coral reefs and grasslands, and the implications for economic and policy analysis are identified.
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Fuzzy-Model-Based Nonfragile Control for Nonlinear Singularly Perturbed Systems With Semi-Markov Jump Parameters
TL;DR: The designed procedures which could well deal with the fragility problem in the implementation of the proposed fuzzy-model-based controller are presented and a technique is developed to estimate the permissible maximum value of singularly perturbed parameter for discrete-time nonlinear semi-Markov jump singular- perturbed systems.
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Analysis of the Computational Singular Perturbation Reduction Method for Chemical Kinetics
TL;DR: In this article it is shown that the successive applications of the CSP algorithm generate, order by order, the asymptotic expansion of a slow manifold.
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Singular perturbations in control problems
M. G. Dmitriev,G. A. Kurina +1 more
TL;DR: In this article, the results on singularly perturbed control obtained since 1982 are reviewed and a review of the results is presented. PACS number: 02.30.30.
References
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Book
Perturbation Methods
Ali H. Nayfeh,Vimal Singh +1 more
TL;DR: This website becomes a very available place to look for countless perturbation methods sources and sources about the books from countries in the world are provided.
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Introduction to perturbation techniques
TL;DR: In this paper, the authors introduce the notion of forced Oscillations of the Duffing Equation and the Mathieu Equation for weakly nonlinear systems with quadratic and cubic nonlinearities.
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Singular perturbation methods in control : analysis and design
TL;DR: This SIAM Classics edition of the 1986 book, the original text is reprinted in its entirety (along with a new preface), providing once again the theoretical foundation for representative control applications.
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Perturbation Methods in Applied Mathematics
TL;DR: In this paper, limit process expansions applied to Ordinary Differential Equations (ODE) are applied to partial differential equations (PDE) in the context of Fluid Mechanics.