Vai al contenuto principale della pagina

Analysis, modeling and stability of fractional order differential systems 2 : the infinite state approach / / Jean-Claude Trigeassou, Nezha Maamri



(Visualizza in formato marc)    (Visualizza in BIBFRAME)

Autore: Trigeassou Jean-Claude Visualizza persona
Titolo: Analysis, modeling and stability of fractional order differential systems 2 : the infinite state approach / / Jean-Claude Trigeassou, Nezha Maamri Visualizza cluster
Pubblicazione: London : , : ISTE Limited, [2019]
©2019
Edizione: 1st edition
Descrizione fisica: 1 online resource (409 pages) : illustrations
Disciplina: 515.83
Soggetto topico: Fractional calculus
Fractional differential equations
Fractional integrals
Persona (resp. second.): MaamriNezha
Nota di bibliografia: Includes bibliographical references and index.
Sommario/riassunto: 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.
Titolo autorizzato: Analysis, modeling and stability of fractional order differential systems 2  Visualizza cluster
ISBN: 1-119-68681-4
1-119-68684-9
1-119-68685-7
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910554849503321
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Serie: Systems and industrial engineering series.