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020 _a9783030376253
024 7 _a10.1007/978-3-030-37625-3
_2doi
040 _aES-MaUEC
_bspa
_cES-MaUEC
_dES-MaUEC
050 4 _aQA871
_b2020 EB
100 1 _aOrlov, Yury
_eautor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_9673655
245 0 0 _aNonsmooth Lyapunov Analysis in Finite and Infinite Dimensions
_cby Yury Orlov.
250 _aFirst edition 2020.
264 1 _aCham
_bSpringer International Publishing
_c2020
300 _a1 recurso en línea (XIX, 340 páginas)
_b74 ilustraciones, 31 ilustraciones a color
336 _2rdacontent
_aTexto
_btxt
337 _2rdamedia
_aelectrónico
_bc
338 _2rdacarrier
_arecurso electrónico
_bcr
347 _aArchivo de texto
_bPDF
490 0 _aCommunications and Control Engineering
_x0178-5354
490 0 _aIntelligent Technologies and Robotics (Springer-42732)
505 0 _aPart I: Introduction -- Chapter 1. Benchmark Models -- Chapter 2. Mathematical Background -- Chapter 3. Mathematical Tools of Dynamic Systems in Hilbert Spaces -- Part II: Construction of Nonsmooth Lyapunov Functions -- Chapter 4. Modern Lyapunov Tools -- Chapter 5. Control Lyapunov Functions -- Part III: Lyapunov Redesign -- Chapter 6. Lyapunov-based Tuning -- Chapter 7. Lyapunov Approach to Adaptive Identification and Control in Infinite-dimensional Setting -- Chapter 8. Control Applications.
520 3 _aNonsmooth Lyapunov Analysis in Finite and Infinite Dimensions provides helpful tools for the treatment of a broad class of dynamical systems that are governed, not only by ordinary differential equations but also by partial and functional differential equations. Existing Lyapunov constructions are extended to discontinuous systems-those with variable structure and impact-by the involvement of nonsmooth Lyapunov functions. The general theoretical presentation is illustrated by control-related applications; the nonsmooth Lyapunov construction is particularly applied to the tuning of sliding-mode controllers in the presence of mismatched disturbances and to orbital stabilization of the bipedal gate. The nonsmooth construction is readily extendible to the control and identification of distributed-parameter and time-delay systems. The first part of the book outlines the relevant fundamentals of benchmark models and mathematical basics. The second concentrates on the construction of nonsmooth Lyapunov functions. Part III covers design and applications material. This book will benefit the academic research and graduate student interested in the mathematics of Lyapunov equations and variable-structure control, stability analysis and robust feedback design for discontinuous systems. It will also serve the practitioner working with applications of such systems. The reader should have some knowledge of dynamical systems theory, but no background in discontinuous systems is required-they are thoroughly introduced in both finite- and infinite-dimensional settings.
988 _aSpringer_Robotics_31032020
650 7 _2embne
_9673656
_aLyapunov, Funciones de
650 7 _2embne
_9673657
_aDinámica
_xModelos matemáticos
776 0 8 _iPrinted edition:
_z9783030376246
776 0 8 _iPrinted edition:
_z9783030376260
776 0 8 _iPrinted edition:
_z9783030376277
856 4 0 _uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-030-37625-3
_zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942 _2lcc
_cLE
998 _b05/2020
_dz
_ek
_zSI