Optimization of Dynamical Systems with Impulse Controls and Shocks
This text explores the state-of-the-art in the rapidly developing theory of impulse control and introduces the theory of singular space-time transformations, a new method for studying shock mechanical systems. Two approaches in the theory of impulse control are presented: The first, more traditional...
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| Príomhchruthaitheoirí: | , |
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| Údar corparáideach: | |
| Formáid: | Leictreonach Ríomhleabhar |
| Teanga: | Béarla |
| Foilsithe / Cruthaithe: |
Cham :
Springer International Publishing : Imprint: Birkhäuser,
2024.
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| Eagrán: | 1st ed. 2024. |
| Sraith: | Systems & Control: Foundations & Applications,
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| Ábhair: | |
| Rochtain ar líne: | https://doi.org/10.1007/978-3-031-64124-4 |
| Clibeanna: |
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| 020 | |a 9783031641244 |9 978-3-031-64124-4 | ||
| 024 | 7 | |a 10.1007/978-3-031-64124-4 |2 doi | |
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| 100 | 1 | |a Miller, Boris. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Optimization of Dynamical Systems with Impulse Controls and Shocks |h [electronic resource] / |c by Boris Miller, Evgeny Rubinovich. |
| 250 | |a 1st ed. 2024. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Birkhäuser, |c 2024. | |
| 300 | |a 1 online resource (XV, 624 p. 70 illus.). |b 14 illus. in color. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 341 | 0 | |b Table of contents navigation |2 onix | |
| 341 | 0 | |b Single logical reading order |2 onix | |
| 341 | 0 | |b Short alternative textual descriptions |2 onix | |
| 341 | 0 | |b Use of color is not sole means of conveying information |2 onix | |
| 341 | 0 | |b Use of high contrast between text and background color |2 onix | |
| 341 | 0 | |b Next / Previous structural navigation |2 onix | |
| 341 | 0 | |b All non-decorative content supports reading without sight |2 onix | |
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Systems & Control: Foundations & Applications, |x 2324-9757 | |
| 505 | 0 | |a Preface -- Introduction -- Discrete-continuous systems with impulse control -- Optimal impulse control problem with restricted number of impulses -- Generalized solutions of nonlinear differential equations -- Optimal generalized solutions in control problems -- The maximum principle in problems of generalized optimal control -- Observations control in discrete-continuous stochastic systems -- Impulsive control in shock mechanics -- Appendix. Differential equations with measures -- Index -- Bibliography. | |
| 520 | |a This text explores the state-of-the-art in the rapidly developing theory of impulse control and introduces the theory of singular space-time transformations, a new method for studying shock mechanical systems. Two approaches in the theory of impulse control are presented: The first, more traditional approach defines the impulsive action as a discontinuity of phase coordinates depending on the current time, the state preceding the action, and its magnitude. The second requires the use of modern methods for describing dynamical systems - differential equations with measures. The impulse is treated as an idealization of a very short action of high magnitude, which produces an almost abrupt change of phase coordinates. The relation between these two approaches is also discussed, and several applications, both traditional and emerging, are considered. This text is intended for graduate students and researchers in control engineering and optimal control theory for dynamical systems. Readers are assumed to be familiar with the theory of ODEs, optimal control, and functional analysis, though an appendix is included that covers many of the necessary mathematical concepts. | ||
| 532 | 8 | |a Accessibility summary: This PDF does not fully comply with PDF/UA standards, but does feature limited screen reader support, described non-text content (images, graphs), bookmarks for easy navigation and searchable, selectable text. Users of assistive technologies may experience difficulty navigating or interpreting content in this document. We recognize the importance of accessibility, and we welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us at accessibilitysupport@springernature.com. | |
| 532 | 8 | |a No reading system accessibility options actively disabled | |
| 532 | 8 | |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com | |
| 588 | |a Print version record. | ||
| 650 | 0 | |a System theory. | |
| 650 | 0 | |a Control theory. | |
| 650 | 0 | |a Mathematical optimization. | |
| 650 | 0 | |a Dynamical systems. | |
| 650 | 1 | 4 | |a Systems Theory, Control. |
| 650 | 2 | 4 | |a Optimization. |
| 650 | 2 | 4 | |a Dynamical Systems. |
| 700 | 1 | |a Rubinovich, Evgeny. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783031641237 |
| 776 | 0 | 8 | |i Printed edition: |z 9783031641251 |
| 776 | 0 | 8 | |i Printed edition: |z 9783031641268 |
| 830 | 0 | |a Systems & Control: Foundations & Applications, |x 2324-9757 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-031-64124-4 |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||