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Linear-Quadratic Controls in Risk-Averse Decision Making (eBook)

Performance-Measure Statistics and Control Decision Optimization

(Autor)

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2012 | 2013
XII, 150 Seiten
Springer New York (Verlag)
978-1-4614-5079-5 (ISBN)

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Linear-Quadratic Controls in Risk-Averse Decision Making - Khanh D. Pham
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​​Linear-Quadratic Controls in Risk-Averse Decision Making   cuts across control engineering (control feedback and decision optimization) and statistics (post-design performance analysis) with a common theme: reliability increase seen from the responsive angle of incorporating and engineering multi-level performance robustness beyond the long-run average performance into control feedback design and decision making and complex dynamic systems from the start. This monograph provides a complete description of statistical optimal control (also known as cost-cumulant control) theory. In control problems and topics, emphasis is primarily placed on major developments attained and explicit connections between mathematical statistics of performance appraisals and decision and control optimization. Chapter summaries shed light on the relevance of developed results, which makes this monograph suitable for graduate-level lectures in applied mathematics and electrical engineering with systems-theoretic concentration, elective study or a reference for interested readers, researchers, and graduate students who are interested in theoretical constructs and design principles for stochastic controlled systems.​ 
Linear-Quadratic Controls in Risk-Averse Decision Making cuts across control engineering (control feedback and decision optimization) and statistics (post-design performance analysis) with a common theme: reliability increase seen from the responsive angle of incorporating and engineering multi-level performance robustness beyond the long-run average performance into control feedback design and decision making and complex dynamic systems from the start. This monograph provides a complete description of statistical optimal control (also known as cost-cumulant control) theory. In control problems and topics, emphasis is primarily placed on major developments attained and explicit connections between mathematical statistics of performance appraisals and decision and control optimization. Chapter summaries shed light on the relevance of developed results, which makes this monograph suitable for graduate-level lectures in applied mathematics and electrical engineering with systems-theoretic concentration, elective study or a reference for interested readers, researchers, and graduate students who are interested in theoretical constructs and design principles for stochastic controlled systems.

-1. Introduction. -2. Risk-Averse Control of Linear-Quadratic Tracking Problems. -3. Overtaking Tracking Problems in Risk-Averse Control. -4. Performance Risk Management in Servo Systems. -5. Risk-Averse Control Problems in Model-Following Systems. -6. Incomplete Feedback Design in Model-Following Systems. -7. Reliable Control for Stochastic Systems with Low Sensitivity. -8. Output Feedback Control for Stochastic Systems with Low Sensitivity. -9. Epilogue. –Index.

Erscheint lt. Verlag 23.10.2012
Reihe/Serie SpringerBriefs in Optimization
SpringerBriefs in Optimization
Zusatzinfo XII, 150 p.
Verlagsort New York
Sprache englisch
Themenwelt Mathematik / Informatik Informatik
Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
Mathematik / Informatik Mathematik Finanz- / Wirtschaftsmathematik
Mathematik / Informatik Mathematik Statistik
Technik
Schlagworte chi-squared random cost • cumulant-generating function • Mayer problem • performance-measure statistics • risk-averse control feedback • stochastic linear systems
ISBN-10 1-4614-5079-9 / 1461450799
ISBN-13 978-1-4614-5079-5 / 9781461450795
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