|
|
|
|
| LEADER |
03141nmm a2200445 u 4500 |
| 001 |
EB000363156 |
| 003 |
EBX01000000000000000216208 |
| 005 |
00000000000000.0 |
| 007 |
cr||||||||||||||||||||| |
| 008 |
130626 ||| eng |
| 020 |
|
|
|a 9781447128526
|
| 100 |
1 |
|
|a Jiao, Zhuang
|
| 245 |
0 |
0 |
|a Distributed-Order Dynamic Systems
|h Elektronische Ressource
|b Stability, Simulation, Applications and Perspectives
|c by Zhuang Jiao, YangQuan Chen, Igor Podlubny
|
| 250 |
|
|
|a 1st ed. 2012
|
| 260 |
|
|
|a London
|b Springer London
|c 2012, 2012
|
| 300 |
|
|
|a XIII, 90 p. 47 illus., 37 illus. in color
|b online resource
|
| 505 |
0 |
|
|a Introduction -- Distributed-order Linear Time-invariant System (DOLTIS) and Its Stability Analysis -- Noncommensurate Constant Orders as Special Cases of Doltis -- Distributed-order Filtering and Distributed-order Optimal Damping -- Numerical Solution of Differential Equations of Distributed Order -- Future Topics -- Appendix: MATLAB® Codes
|
| 653 |
|
|
|a Mechanical Power Engineering
|
| 653 |
|
|
|a Electric power production
|
| 653 |
|
|
|a Control and Systems Theory
|
| 653 |
|
|
|a Control theory
|
| 653 |
|
|
|a Systems Theory, Control
|
| 653 |
|
|
|a System theory
|
| 653 |
|
|
|a Signal, Speech and Image Processing
|
| 653 |
|
|
|a Control engineering
|
| 653 |
|
|
|a Electrical Power Engineering
|
| 653 |
|
|
|a Energy policy
|
| 653 |
|
|
|a Signal processing
|
| 653 |
|
|
|a Energy Policy, Economics and Management
|
| 653 |
|
|
|a Energy and state
|
| 700 |
1 |
|
|a Chen, YangQuan
|e [author]
|
| 700 |
1 |
|
|a Podlubny, Igor
|e [author]
|
| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
|
| 989 |
|
|
|b Springer
|a Springer eBooks 2005-
|
| 490 |
0 |
|
|a SpringerBriefs in Control, Automation and Robotics
|
| 028 |
5 |
0 |
|a 10.1007/978-1-4471-2852-6
|
| 856 |
4 |
0 |
|u https://doi.org/10.1007/978-1-4471-2852-6?nosfx=y
|x Verlag
|3 Volltext
|
| 082 |
0 |
|
|a 629.8312
|
| 082 |
0 |
|
|a 003
|
| 520 |
|
|
|a Distributed-order differential equations, a generalization of fractional calculus, are of increasing importance in many fields of science and engineering from the behaviour of complex dielectric media to the modelling of nonlinear systems. This Brief will broaden the toolbox available to researchers interested in modeling, analysis, control and filtering. It contains contextual material outlining the progression from integer-order, through fractional-order to distributed-order systems. Stability issues are addressed with graphical and numerical results highlighting the fundamental differences between constant-, integer-, and distributed-order treatments. The power of the distributed-order model is demonstrated with work on the stability of noncommensurate-order linear time-invariant systems. Generic applications of the distributed-order operator follow: signal processing and viscoelastic damping of a mass–spring set up. A new general approach to discretization of distributed-order derivatives and integrals is described. The Brief is rounded out with a consideration of likely future research and applications and with a number of MATLAB® codes to reduce repetitive coding tasks and encourage new workers in distributed-order systems
|