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Title
Stabilization and control of fractional order systems [electronic resource] : a sliding mode approach / Bijnan Bandyopadhyay, Shyam Kamal.
ISBN
9783319086217 electronic book
3319086219 electronic book
9783319086200
3319086200 (print)
9783319086200 (print)
Published
Cham : Springer, 2015.
Language
English
Description
1 online resource (xxxi, 200 pages) : illustrations (some color).
Item Number
10.1007/978-3-319-08621-7 doi
Call Number
QA314
Dewey Decimal Classification
515/.83
Summary
In the last two decades fractional differential equations have been used more frequently in physics, signal processing, fluid mechanics, viscoelasticity, mathematical biology, electro chemistry and many others. It opens a new and more realistic way to capture memory dependent phenomena and irregularities inside the systems by using more sophisticated mathematical analysis. This monograph is based on the authors' work on stabilization and control design for continuous and discrete fractional order systems. The initial two chapters and some parts of the third chapter are written in tutorial fashion, presenting all the basic concepts of fractional order system and a brief overview of sliding mode control of fractional order systems. The other parts contain deal with robust finite time stability of fractional order systems, integral sliding mode control of fractional order systems, co-operative control of multi-agent systems modeled as fractional differential equation, robust stabilization of discrete fractional order systems, high performance control using soft variable structure control and contraction analysis by integer and fractional order infinitesimal variations.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Description based on online resource; title from PDF title page (SpringerLink, viewed August 6, 2014).
Series
Lecture notes in electrical engineering ; v.317.
Available in Other Form
Print version: 9783319086200
Essence of Fractional Order Calculus, Physical Interpretation and Applications
Solution, Stability and Realization of Fractional Order Differential Equation
Sliding Mode Control of Fractional Order Systems
Finite Time Stabilization of Fractional Order Systems
A Soft Variable Structure Control of Fractional Order Systems
Robust Cooperative Control of Fractional-Order Multiple Agents
Discrete Sliding Mode Control of Fractional Order systems
Disturbance Observer based Robust Control for Fractional Order Systems
Contraction Analysis by Integer Order and Fractional Order Infinitesimal Variations.