Download or read book Singularly Perturbed Optimal Control Problems with Time delay written by Bassem Ghalayini and published by . This book was released on 1995 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Perturbation Analysis of Optimization Problems written by J.Frederic Bonnans and published by Springer Science & Business Media. This book was released on 2000-05-11 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: A presentation of general results for discussing local optimality and computation of the expansion of value function and approximate solution of optimization problems, followed by their application to various fields, from physics to economics. The book is thus an opportunity for popularizing these techniques among researchers involved in other sciences, including users of optimization in a wide sense, in mechanics, physics, statistics, finance and economics. Of use to research professionals, including graduate students at an advanced level.
Download or read book Perturbed Optimal Control Problems written by Andrew John Korsak and published by . This book was released on 1966 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: The effects of perturbations of an 6ptimal control problem upon its optimal control are studied for two classes of optimal control problems. The first class consists of fixed-time, fixed-initial-point, free-terminal-point optimal control problems. The second class consists of certain calculus-of-variations problems interpreted as optimal control problems. The principal results of this study are that an optimal control depends continuously upon the optimal control problem, with respect to certain natural topologies, provided this optimal control is essentially unique, and that an essentially unique optimal control exists for an optimal control problem in the classes studied here, under certain additional assumptions. Some auxiliary results in the calculus of variations are derived to obtain the above conclusions for the second class of problems studied. Among these are an implicit function theorem for absolutely continuous functions and the proof of existence of a field of extremals for certain calculus-of-variations problems. (Author).
Download or read book Optimal Control Problems with Singularly Perturbed Differential Equations as Side Constraints written by Christian Reibiger and published by . This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Variational Analysis and Generalized Differentiation II written by Boris S. Mordukhovich and published by Springer Science & Business Media. This book was released on 2006-03-02 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive and state-of-the art study of the basic concepts and principles of variational analysis and generalized differentiation in both finite-dimensional and infinite-dimensional spaces Presents numerous applications to problems in the optimization, equilibria, stability and sensitivity, control theory, economics, mechanics, etc.
Download or read book Optimal Control Of Singularly Perturbed Linear Systems And Applications written by Zoran Gajic and published by CRC Press. This book was released on 2001-01-04 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Highlights the Hamiltonian approach to singularly perturbed linear optimal control systems. Develops parallel algorithms in independent slow and fast time scales for solving various optimal linear control and filtering problems in standard and nonstandard singularly perturbed systems, continuous- and discrete-time, deterministic and stochastic, multimodeling structures, Kalman filtering, sampled data systems, and much more.
Download or read book Singular Perturbation Methodology in Control Systems written by Desineni S. Naidu and published by IET. This book was released on 1988 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the twin topics of singular perturbation methods and time scale analysis to problems in systems and control. The heart of the book is the singularly perturbed optimal control systems, which are notorious for demanding excessive computational costs. The book addresses both continuous control systems (described by differential equations) and discrete control systems (characterised by difference equations).
Download or read book Nonlinear Singularly Perturbed Optimal Control Problems with Singular Arcs written by and published by . This book was released on 1977 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Singular Perturbations in Systems and Control written by M.D. Ardema and published by Springer. This book was released on 2014-05-04 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Singular Perturbation Methods in Control written by Petar Kokotovic and published by SIAM. This book was released on 1999-01-01 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Singular perturbations and time-scale techniques were introduced to control engineering in the late 1960s and have since become common tools for the modeling, analysis, and design of control systems. In this SIAM Classics edition of the 1986 book, the original text is reprinted in its entirety (along with a new preface), providing once again the theoretical foundation for representative control applications. This book continues to be essential in many ways. It lays down the foundation of singular perturbation theory for linear and nonlinear systems, it presents the methodology in a pedagogical way that is not available anywhere else, and it illustrates the theory with many solved examples, including various physical examples and applications. So while new developments may go beyond the topics covered in this book, they are still based on the methodology described here, which continues to be their common starting point.
Download or read book Singular Perturbation Methods in Control written by Petar Kokotovic and published by SIAM. This book was released on 1999-01-01 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: This SIAM Classics edition of the 1986 book provides the theoretical foundation for representative control applications.
Download or read book Perturbation Methods in Optimal Control written by Alain Bensoussan and published by Wiley. This book was released on 1988-06-23 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes, analyzes, and generalizes the principal results concerning perturbation methods in optimal control for systems governed by deterministic or stochastic differential equations. Covers the most important theorems in deterministic and stochastic optimal control, the theory of ergodic control, and the use of control, including regular perturbations and singular perturbations.
Download or read book Optimal Control of a Perturbed Sweeping Process with Applications to the Crowd Motion Model written by Tan Hoang Cao and published by . This book was released on 2016 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: The dissertation is devoted to the study and applications of a new class of optimal control problems governed by a perturbed sweeping process of the hysteresis type with control functions acting in both play-and-stop operator and additive perturbations. Such control problems can be reduced to optimization of discontinuous and unbounded dif- ferential inclusions with pointwise state constraints, which are immensely challenging in control theory and prevent employing conventional variation techniques to derive neces- sary optimality conditions. We develop the method of discrete approximations married with appropriate generalized differential tools of modern variational analysis to overcome principal difficulties in passing to the limit from optimality conditions for finite-difference systems. This approach leads us to nondegenerate necessary conditions for local minimiz- ers of the controlled sweeping process expressed entirely via the problem data. Besides illustrative examples, we apply the obtained results to an optimal control problem asso- ciated with of the crowd motion model of traffic flow in a corridor, which is formulated in this thesis. The derived optimality conditions allow us to develop an effective procedure to solve this problem in a general setting and completely calculate optimal solutions in particular situations.
Download or read book Perturbations Approximations and Sensitivity Analysis of Optimal Control Systems written by A. L. Dontchev and published by Springer. This book was released on 1983 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: Devoted to current problems in sensitivity analysis of optimal control. Two topics are considered: well-posedness, i.e. continuation of the solutions; & estimation of variations in solutions of constrained optimal control problems resulting from various changes of the model.
Download or read book Problems and Methods of Optimal Control written by L.D. Akulenko and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: The numerous applications of optimal control theory have given an incentive to the development of approximate techniques aimed at the construction of control laws and the optimization of dynamical systems. These constructive approaches rely on small parameter methods (averaging, regular and singular perturbations), which are well-known and have been proven to be efficient in nonlinear mechanics and optimal control theory (maximum principle, variational calculus and dynamic programming). An essential feature of the procedures for solving optimal control problems consists in the necessity for dealing with two-point boundary-value problems for nonlinear and, as a rule, nonsmooth multi-dimensional sets of differential equations. This circumstance complicates direct applications of the above-mentioned perturbation methods which have been developed mostly for investigating initial-value (Cauchy) problems. There is now a need for a systematic presentation of constructive analytical per turbation methods relevant to optimal control problems for nonlinear systems. The purpose of this book is to meet this need in the English language scientific literature and to present consistently small parameter techniques relating to the constructive investigation of some classes of optimal control problems which often arise in prac tice. This book is based on a revised and modified version of the monograph: L. D. Akulenko "Asymptotic methods in optimal control". Moscow: Nauka, 366 p. (in Russian).
Download or read book Singular Perturbation Analysis of Discrete Control Systems written by Desineni S. Naidu and published by Springer. This book was released on 2006-11-14 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On the Numerical Solution of Nonlinear and Hybrid Optimal Control Problems written by Matthias Rungger and published by kassel university press GmbH. This book was released on 2012 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:
