LEADER 00000nam a2200481 i 4500 
001    978-0-8176-4723-0 
003    DE-He213 
005    20200102134507.0 
006    m     o  d         
007    cr nn 008maaau 
008    200102s2019    nyu     s         0 eng d 
020    9780817647230|q(electronic bk.) 
020    9780817647223|q(paper) 
024 7  10.1007/978-0-8176-4723-0|2doi 
040    GP|cGP|erda 
041 0  eng 
050  4 QA402.3|b.F35 2019 
082 04 515.642|223 
100 1  Falb, Peter,|eauthor 
245 10 Direct methods in control problems /|cby Peter Falb 
264  1 New York, NY :|bSpringer New York :|bImprint: Birkhauser,
       |c2019 
300    1 online resource (x, 314 pages) :|billustrations, digital
       ;|c24 cm 
336    text|btxt|2rdacontent 
337    computer|bc|2rdamedia 
338    online resource|bcr|2rdacarrier 
347    text file|bPDF|2rda 
505 0  Part I. Introduction -- Introductory Remarks -- Historical
       Perspective -- Outline of Contents -- Part II. Problem 
       Statement -- Deterministic Systems -- Stochastic Systems -
       - General Problem -- Part III. The Direct Method Approach:
       Generalities -- General Approach -- Gradient and 
       Integration Methods -- Representation Methods -- Part IV. 
       Gradient and Integration Methods in Control Problems -- 
       Computation of Gradients for ODE Problems -- Computation 
       of Gradients for PDE Problems -- Integration Methods -- 
       Part V. Representation Methods -- Ritz-Galerkin Expansion 
       -- Karhunen-Loeve Expansion -- Levy Processes -- 
       Bibliography -- Index 
520    The primary focus of this book is on explicating the 
       direct method approach. Historically, direct methods have 
       not been fully exploited in control problems. The key is 
       constructing convergent minimizing families. Integration 
       methods (for example the gradient method) and 
       representation methods (such as the Ritz-Galerkin and 
       Finite Element methods) are examined in this text in an 
       abstract (with concrete examples) functional analytic way.
       The aim is to consider direct methods from a unified 
       general point of view and to provide a stimulus for future
       research. Explicitly, implicitly and by example, potential
       areas of research interest are indicated. The book is a 
       suitable reference for graduate students, researchers, 
       applied mathematicians, and control engineers. Some of the
       material is of independent mathematical interest. The work
       may be used as a text for a graduate course or seminar on 
       direct methods in control. A degree of mathematical 
       sophistication and some knowledge of control theory is 
       required 
650  0 Control theory 
650 14 Systems Theory, Control 
650 24 Control, Robotics, Mechatronics 
650 24 Calculus of Variations and Optimal Control; Optimization 
650 24 Approximations and Expansions 
650 24 Probability Theory and Stochastic Processes 
650 24 Computational Mathematics and Numerical Analysis 
710 2  SpringerLink (Online service) 
773 0  |tSpringer eBooks 
856 40 |uhttps://doi.org/10.1007/978-0-8176-4723-0