NDLI: Unstable systems stabilizing each other through adaptation

Content Provider	IEEE Xplore Digital Library
Author	Narendra, K.S. Harshangi, P.
Copyright Year	2014
Description	Author affiliation: Center for Syst. Sci., Yale Univ., New Haven, CT, USA (Narendra, K.S.; Harshangi, P.)
Abstract	An asymptotically stable reference model plays a crucial role in the entire literature on adaptive systems. Given a plant with unknown parameters, the objective is to adapt the parameters of a controller so that the behavior of the controlled plant emulates that of the reference model in some sense. This paper addresses the following question, which is markedly different from that encountered in conventional adaptive control: “Can two or more unstable plants adaptively stabilize each other? ”. This is because neither system has a stable model to emulate, and each depends upon the other to stabilize itself. It is not surprising that this seemingly innocuous question has far reaching implications in widely different fields such as biology, psychology, economics and robotics, where it is found to arise frequently. If simple rules of adaptation were adequate to answer the above question, it would not merit much attention. However, preliminary investigations have revealed that such adaptation often does lead to instability. In fact the answer to the question is far from simple, and depends upon the assumptions made regarding the adaptive subsystems, and the manner in which they interact with each other. This has given rise to a vast spectrum of interesting questions. The objective of this paper is consequently not to provide an exhaustive set of answers, but merely to pose several problems in what the authors hope will be a new area of research, and to present preliminary results concerning some of them.
Starting Page	7
Ending Page	12
File Size	422065
Page Count	6
File Format	PDF
ISBN	9781479932726
ISSN	07431619
e-ISBN	9781479932740
DOI	10.1109/ACC.2014.6859182
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-06-04
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Equations Adaptation models Adaptive systems Stability analysis Mathematical model Lyapunov methods Differential equations Cooperative control
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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