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Analysis, modeling and stability of ...

Trigeassou, Jean-Claude.

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Analysis, modeling and stability of fractional order differential systems.. 2,. The infinite state approach

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Analysis, modeling and stability of fractional order differential systems./ Jean-Claude Trigeassou, Nezha Maamri.
其他題名:	Infinite state approach
作者:	Trigeassou, Jean-Claude.
其他作者:	Maamri, Nezha.
出版者:	London :ISTE ; : 2019.,
面頁冊數:	1 online resource (352 p.)
標題:	Fractional differential equations. -
電子資源:	https://onlinelibrary.wiley.com/doi/book/10.1002/9781119686859
ISBN:	9781119686859

Analysis, modeling and stability of fractional order differential systems.. 2,. The infinite state approach
Trigeassou, Jean-Claude.

Analysis, modeling and stability of fractional order differential systems.2,The infinite state approach[electronic resource] /Infinite state approachJean-Claude Trigeassou, Nezha Maamri. - 1st ed. - London :ISTE ;2019. - 1 online resource (352 p.)

Includes bibliographical references and index.

This book introduces an original fractional calculus methodology ('the infinite state approach') which is applied to the modeling of fractional order differential equations (FDEs) and systems (FDSs). Its modeling is based on the frequency distributed fractional integrator, while the resulting model corresponds to an integer order and infinite dimension state space representation. This original modeling allows the theoretical concepts of integer order systems to be generalized to fractional systems, with a particular emphasis on a convolution formulation. With this approach, fundamental issues such as system state interpretation and system initialization - long considered to be major theoretical pitfalls - have been solved easily. Although originally introduced for numerical simulation and identification of FDEs, this approach also provides original solutions to many problems such as the initial conditions of fractional derivatives, the uniqueness of FDS transients, formulation of analytical transients, fractional differentiation of functions, state observation and control, definition of fractional energy, and Lyapunov stability analysis of linear and nonlinear fractional order systems. This second volume focuses on the initialization, observation and control of the distributed state, followed by stability analysis of fractional differential systems.

ISBN: 9781119686859Subjects--Topical Terms:

2184872
Fractional differential equations.

LC Class. No.: QA314

Dewey Class. No.: 515/.35

Analysis, modeling and stability of fractional order differential systems.. 2,. The infinite state approach
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100 1 $a Trigeassou, Jean-Claude. $3 3512945
245 1 0 $a Analysis, modeling and stability of fractional order differential systems. $n 2, $p The infinite state approach $h [electronic resource] / $c Jean-Claude Trigeassou, Nezha Maamri.
246 3 0 $a Infinite state approach
250 $a 1st ed.
260 $a London : $b ISTE ; $a Hoboken, NJ : $b John Wiley & Sons, $c 2019.
300 $a 1 online resource (352 p.)
504 $a Includes bibliographical references and index.
520 $a This book introduces an original fractional calculus methodology ('the infinite state approach') which is applied to the modeling of fractional order differential equations (FDEs) and systems (FDSs). Its modeling is based on the frequency distributed fractional integrator, while the resulting model corresponds to an integer order and infinite dimension state space representation. This original modeling allows the theoretical concepts of integer order systems to be generalized to fractional systems, with a particular emphasis on a convolution formulation. With this approach, fundamental issues such as system state interpretation and system initialization - long considered to be major theoretical pitfalls - have been solved easily. Although originally introduced for numerical simulation and identification of FDEs, this approach also provides original solutions to many problems such as the initial conditions of fractional derivatives, the uniqueness of FDS transients, formulation of analytical transients, fractional differentiation of functions, state observation and control, definition of fractional energy, and Lyapunov stability analysis of linear and nonlinear fractional order systems. This second volume focuses on the initialization, observation and control of the distributed state, followed by stability analysis of fractional differential systems.
588 $a Description based on print version record.
650 0 $a Fractional differential equations. $3 2184872
700 1 $a Maamri, Nezha. $3 3512946
856 4 0 $u https://onlinelibrary.wiley.com/doi/book/10.1002/9781119686859