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| 001 | 978-3-319-49992-5 | ||
| 003 | DE-He213 | ||
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| 007 | cr nn 008mamaa | ||
| 008 | 161205s2017 sz | s |||| 0|eng d | ||
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_a9783319499925 _9978-3-319-49992-5 |
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_a10.1007/978-3-319-49992-5 _2doi |
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_avan der Schaft, Arjan. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _962724 |
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| 245 | 1 | 0 |
_aL2-Gain and Passivity Techniques in Nonlinear Control _h[electronic resource] / _cby Arjan van der Schaft. |
| 250 | _a3rd ed. 2017. | ||
| 264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2017. |
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| 300 |
_aXVIII, 321 p. 37 illus. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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| 490 | 1 |
_aCommunications and Control Engineering, _x2197-7119 |
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| 505 | 0 | _aChapter 1: Input-Output Stability -- Chapter 2: Small-Gain and Passivity of Input–Output Maps -- Chapter 3: Dissipative Systems Theory -- Chapter 4: Passivity -- Chapter 5: Passivity by Feedback -- Chapter 6: Port-Hamiltonian Systems -- Chapter 7: Port-Hamiltonian Network Dynamics -- Chapter 8: L2-Gain and the Small Gain Theorem -- Chapter 9: Factorizations of Nonlinear Systems -- Chapter 10: Nonlinear H-infinity Control.-Chapter 11: Hamilton-Jacobi Inequalities. | |
| 520 | _aThis standard text gives a unified treatment of passivity and L2-gain theory for nonlinear state space systems, preceded by a compact treatment of classical passivity and small-gain theorems for nonlinear input-output maps. The synthesis between passivity and L2-gain theory is provided by the theory of dissipative systems. Specifically, the small-gain and passivity theorems and their implications for nonlinear stability and stabilization are discussed from this standpoint. The connection between L2-gain and passivity via scattering is detailed. Feedback equivalence to a passive system and resulting stabilization strategies are discussed. The passivity concepts are enriched by a generalised Hamiltonian formalism, emphasising the close relations with physical modeling and control by interconnection, and leading to novel control methodologies going beyond passivity. The potential of L2-gain techniques in nonlinear control, including a theory of all-pass factorizations of nonlinear systems, and of parametrization of stabilizing controllers, is demonstrated. The nonlinear H-infinity optimal control problem is also treated and the book concludes with a geometric analysis of the solution sets of Hamilton-Jacobi inequalities and their relation with Riccati inequalities for the linearization. · L2-Gain and Passivity Techniques in Nonlinear Control (third edition) is thoroughly updated, revised, reorganized and expanded. Among the changes, readers will find: · updated and extended coverage of dissipative systems theory · substantial new material regarding converse passivity theorems and incremental/shifted passivity <· coverage of recent developments on networks of passive systems with examples · a completely overhauled and succinct introduction to modeling and control of port-Hamiltonian systems, followed by an exposition of port-Hamiltonian formulation of physical network dynamics · updated treatment of all-pass factorization of nonlinear systems The book provides graduate students and researchers in systems and control with a compact presentation of a fundamental and rapidly developing area of nonlinear control theory, illustrated by a broad range of relevant examples stemming from different application areas. | ||
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_aControl engineering. _931970 |
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_aRobotics. _92393 |
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_aAutomation. _92392 |
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_aComputational Intelligence. _97716 |
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_aControl, Robotics, Automation. _931971 |
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_aSystems Theory, Control . _931597 |
| 710 | 2 |
_aSpringerLink (Online service) _962725 |
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| 773 | 0 | _tSpringer Nature eBook | |
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_iPrinted edition: _z9783319499918 |
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_iPrinted edition: _z9783319499932 |
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_iPrinted edition: _z9783319842943 |
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_aCommunications and Control Engineering, _x2197-7119 _962726 |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-319-49992-5 |
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