Stability of stationary sets in control systems with discontinuous nonlinearities:
This book presents a development of the frequency-domain approach to the stability study of stationary sets of systems with discontinuous nonlinearities. The treatment is based on the theory of differential inclusions and the second Lyapunov method. Various versions of the Kalman-Yakubovich lemma on...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore
World Scientific Pub. Co.
c2004
|
| Series: | Series on stability, vibration, and control of systems. Series A
v.14 |
| Subjects: | |
| Online Access: | FHN01 Volltext |
| Summary: | This book presents a development of the frequency-domain approach to the stability study of stationary sets of systems with discontinuous nonlinearities. The treatment is based on the theory of differential inclusions and the second Lyapunov method. Various versions of the Kalman-Yakubovich lemma on solvability of matrix inequalities are presented and discussed in detail. It is shown how the tools developed can be applied to stability investigations of relay control systems, gyroscopic systems, mechanical systems with a Coulomb friction, nonlinear electrical circuits, cellular neural networks, phase-locked loops, and synchronous machines |
| Physical Description: | xv, 334 p. ill |
| ISBN: | 9789812794239 |
Staff View
MARC
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| 520 | |a This book presents a development of the frequency-domain approach to the stability study of stationary sets of systems with discontinuous nonlinearities. The treatment is based on the theory of differential inclusions and the second Lyapunov method. Various versions of the Kalman-Yakubovich lemma on solvability of matrix inequalities are presented and discussed in detail. It is shown how the tools developed can be applied to stability investigations of relay control systems, gyroscopic systems, mechanical systems with a Coulomb friction, nonlinear electrical circuits, cellular neural networks, phase-locked loops, and synchronous machines | ||
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| discipline | Mathematik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
| format | Electronic eBook |
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| id | DE-604.BV044635606 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:47Z |
| institution | BVB |
| isbn | 9789812794239 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030033578 |
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| physical | xv, 334 p. ill |
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| publishDate | 2004 |
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| series2 | Series on stability, vibration, and control of systems. Series A |
| spelling | I͡Akubovich, V. A. Verfasser aut Stability of stationary sets in control systems with discontinuous nonlinearities .A. Yakubovich, G.A. Leonov, A. Kh. Gelig Singapore World Scientific Pub. Co. c2004 xv, 334 p. ill txt rdacontent c rdamedia cr rdacarrier Series on stability, vibration, and control of systems. Series A v.14 This book presents a development of the frequency-domain approach to the stability study of stationary sets of systems with discontinuous nonlinearities. The treatment is based on the theory of differential inclusions and the second Lyapunov method. Various versions of the Kalman-Yakubovich lemma on solvability of matrix inequalities are presented and discussed in detail. It is shown how the tools developed can be applied to stability investigations of relay control systems, gyroscopic systems, mechanical systems with a Coulomb friction, nonlinear electrical circuits, cellular neural networks, phase-locked loops, and synchronous machines Control theory Nonlinear control theory Set theory System analysis Differential equations, Nonlinear Engineering mathematics Engineering systems Nichtlineare Kontrolltheorie (DE-588)4475218-0 gnd rswk-swf Nichtlineare Kontrolltheorie (DE-588)4475218-0 s 1\p DE-604 Leonov, G. A. Sonstige oth Gelig, Arkadiĭ Khaĭmovich Sonstige oth Erscheint auch als Druck-Ausgabe 9789812387196 Erscheint auch als Druck-Ausgabe 9812387196 http://www.worldscientific.com/worldscibooks/10.1142/5442#t=toc Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | I͡Akubovich, V. A. Stability of stationary sets in control systems with discontinuous nonlinearities Control theory Nonlinear control theory Set theory System analysis Differential equations, Nonlinear Engineering mathematics Engineering systems Nichtlineare Kontrolltheorie (DE-588)4475218-0 gnd |
| subject_GND | (DE-588)4475218-0 |
| title | Stability of stationary sets in control systems with discontinuous nonlinearities |
| title_auth | Stability of stationary sets in control systems with discontinuous nonlinearities |
| title_exact_search | Stability of stationary sets in control systems with discontinuous nonlinearities |
| title_full | Stability of stationary sets in control systems with discontinuous nonlinearities .A. Yakubovich, G.A. Leonov, A. Kh. Gelig |
| title_fullStr | Stability of stationary sets in control systems with discontinuous nonlinearities .A. Yakubovich, G.A. Leonov, A. Kh. Gelig |
| title_full_unstemmed | Stability of stationary sets in control systems with discontinuous nonlinearities .A. Yakubovich, G.A. Leonov, A. Kh. Gelig |
| title_short | Stability of stationary sets in control systems with discontinuous nonlinearities |
| title_sort | stability of stationary sets in control systems with discontinuous nonlinearities |
| topic | Control theory Nonlinear control theory Set theory System analysis Differential equations, Nonlinear Engineering mathematics Engineering systems Nichtlineare Kontrolltheorie (DE-588)4475218-0 gnd |
| topic_facet | Control theory Nonlinear control theory Set theory System analysis Differential equations, Nonlinear Engineering mathematics Engineering systems Nichtlineare Kontrolltheorie |
| url | http://www.worldscientific.com/worldscibooks/10.1142/5442#t=toc |
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