Nonlinear Systems : Analysis, Stability, and Control / by Shankar Sastry
(Interdisciplinary Applied Mathematics ; 10)
データ種別 | 電子ブック |
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出版情報 | New York, NY : Springer New York : Imprint: Springer , 1999 |
本文言語 | 英語 |
大きさ | XXVI, 668 p : online resource |
書誌詳細を非表示
内容注記 | 1 Linear vs. Nonlinear 2 Planar Dynamical Systems 3 Mathematical Background 4 Input-Output Analysis 5 Lyapunov Stability Theory 6 Applications of Lyapunov Theory 7 Dynamical Systems and Bifurcations 8 Basics of Differential Geometry 9 Linearization by State Feedback 10 Design Examples Using Linearization 11 Geometric Nonlinear Control 12 Exterior Differential Systems in Control 13 New Vistas: Multi-Agent Hybrid Systems References |
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一般注記 | There has been a great deal of excitement in the last ten years over the emer gence of new mathematical techniques for the analysis and control of nonlinear systems: Witness the emergence of a set of simplified tools for the analysis of bifurcations, chaos, and other complicated dynamical behavior and the develop ment of a comprehensive theory of geometric nonlinear control. Coupled with this set of analytic advances has been the vast increase in computational power available for both the simulation and visualization of nonlinear systems as well as for the implementation in real time of sophisticated, real-time nonlinear control laws. Thus, technological advances havebolstered the impact of analytic advances and produced a tremendous variety of new problems and applications that are nonlinear in an essential way. Nonlinear controllaws have been implemented for sophisticated flight control systems on board helicopters, and vertical take offand landing aircraft; adaptive, nonlinearcontrollaws havebeen implementedfor robot manipulators operating either singly, or in cooperation on a multi-fingered robot hand; adaptive control laws have been implemented forjetengines andautomotive fuel injection systems, as well as for automated highway systems and air traffic management systems, to mention a few examples. Bifurcation theory has been used to explain and understand the onset of fiutterin the dynamics of aircraft wing structures, the onset of oscillations in nonlinear circuits, surge and stall in aircraft engines, voltage collapse in a power transmission network |
著者標目 | *Sastry, Shankar author SpringerLink (Online service) |
件 名 | LCSH:Mathematics LCSH:Calculus of variations FREE:Mathematics FREE:Calculus of Variations and Optimal Control; Optimization |
分 類 | DC23:515.64 |
巻冊次 | ISBN:9781475731088 |
ISBN | 9781475731088 |
URL | http://dx.doi.org/10.1007/978-1-4757-3108-8 |
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※2021年9月12日以降