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008 191228t20192019enk o 000 0 eng d
020 _a9781119686859
_q(electronic bk. : oBook)
020 _a1119686857
_q(electronic bk. : oBook)
020 _a9781119686842
020 _a1119686849
020 _z9781786304551
035 _a(OCoLC)1134074461
040 _aEBLCP
_beng
_erda
_cEBLCP
_dDG1
_dRECBK
_dOCLCF
_dTR-AnTOB
041 0 _aeng
050 1 4 _aQA314
_b.T754 2019
090 _aQA314
_b.T754 2019EBK
100 1 _aTrigeassou, Jean-Claude.
_0http://id.loc.gov/authorities/names/n2011046059
_eauthor
245 1 0 _aAnalysis, modeling and stability of fractional order differential systems.
_n2,
_pThe infinite state approach /
_cJean-Claude Trigeassou, Nezha Maamri
246 3 0 _aInfinite state approach
264 1 _aLondon :
_bISTE, Ltd. ;
_aHoboken :
_bJohn Wiley & Sons, Incorporated,
_c[2019]
264 4 _c©2019
300 _a1 online resource (352 pages)
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
504 _aBIBINDX
505 0 _aInitialization, State Observation and Control. Initialization of Fractional Order Systems -- Observability and Controllability of FDEs/FDSs -- Improved Initialization of Fractional Order Systems -- State Control of Fractional Differential Systems -- Fractional Model-based Control of the Diffusive RC Line -- Stability of Fractional Differential Equations and Systems. Stability of Linear FDEs Using the Nyquist Criterion -- Fractional Energy -- Lyapunov Stability of Commensurate Order Fractional Systems -- Lyapunov Stability of Non-commensurate Order Fractional Systems -- An Introduction to the Lyapunov Stability of Nonlinear Fractional Order Systems
520 _aThis 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
650 0 _aFractional differential equations.
_0http://id.loc.gov/authorities/subjects/sh2014000574
655 0 _aElectronic books
_92032
700 1 _aMaamri, Nezha
_eauthor
856 4 0 _3Wiley Online Library
_zConnect to resource
_uhttps://onlinelibrary.wiley.com/doi/book/10.1002/9781119686859
942 _2lcc
_cEBK