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© 2013

Linear-Quadratic Controls in Risk-Averse Decision Making

Performance-Measure Statistics and Control Decision Optimization

  • Provides 'Statements of Statistical Optimal Control' which provide complete problem formulations composed of unique notations, terminologies ,definitions and theorems?

  • Includes 'Problem Descriptions' in which basic assumptions related to the state space models are discussed?

  • Provides a complete description of statistical optimal control

Book

Part of the SpringerBriefs in Optimization book series (BRIEFSOPTI)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Khanh D. Pham
    Pages 1-5
  3. Khanh D. Pham
    Pages 145-147
  4. Back Matter
    Pages 149-150

About this book

Introduction

​​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.​ 

Keywords

Mayer problem chi-squared random cost cumulant-generating function performance-measure statistics risk-averse control feedback stochastic linear systems

Authors and affiliations

  1. 1., Space Vehicles DirectorateThe Air Force Research LaboratoryKirtland Air Force BaseUSA

Bibliographic information

Reviews

From the reviews:

“This 150-page monograph published under the series: SpringerBriefs in Optimization, briefly addresses the three fields of optimal control, statistics and reliability based on the recent research of the author and other colleagues. … This monograph is suitable senior level graduate students in applied mathematics and statistics, and controls (electrical and mechanical engineering). … This volume is a welcome addition to the other books published on this topic … .” (D. Subbaram Naidu, Amazon.com, March, 2014)