Bifurcation of extremals in optimal control

by Jacob Kogan

Publisher: Springer-Verlag in Berlin, New York

Written in English
Cover of: Bifurcation of extremals in optimal control | Jacob Kogan
Published: Pages: 106 Downloads: 899
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Subjects:

  • Control theory.,
  • Bifurcation theory.

Edition Notes

StatementJacob Kogan.
SeriesLecture notes in mathematics ;, 1216, Lecture notes in mathematics (Springer-Verlag) ;, 1216.
Classifications
LC ClassificationsQA3 .L28 no. 1216, QA402.3 .L28 no. 1216
The Physical Object
Paginationviii, 106 p. ;
Number of Pages106
ID Numbers
Open LibraryOL2730805M
ISBN 100387168184
LC Control Number86024878

23 May | Journal of Guidance, Control, and Dynamics, Vol. 23, No. 1 The singular linear-quadratic regulator problem and the Goh-Riccati equation Singular fuel-optimal space trajectories based on linearization about a point in circular orbitCited by: This book is a further development of the theory of parametric control. It includes: numerical methods of testing (verification) of software implementation of mathematical models by assessing the stability of mappings defined by the model sufficient conditions for the existence of the solutions of some types of problems of dynamic optimization the existence of continuous dependence of optimal. Optimal control theory is the science of maximizing the returns from and minimizing the costs of the operation of physical, social, and economic processes. Geared toward upper-level undergraduates, this text introduces three aspects of optimal control theory: dynamic programming, Pontryagin's minimum principle, and numerical techniques for trajectory rs 1 and 2 focus on. Introduction to Clustering Large and High-Dimensional Data by Jacob Kogan and a great selection of related books, art and collectibles available now at Bifurcation of Extremals in Optimal Control (Lecture Notes in Economic and Mathematical Systems) Bifurcation of Extremals in Optimal Control. Kogan, Jacob. Published by Springer (

A conventional optimal control approach to controlling chaotic systems by minimum parameter perturbation sequences, in the sense of “total control energy,” is suggested in this short by: There are numerous excellent books on optimal control. Commonly used books which we will draw from are Athans and Falb [2], Berkovitz [4], Bryson and Ho [5], Pontryagin et al [6], Young [7], Kirk [8], Lewis [9] and Fleming and Rishel[10]. The history of optimal control is quite well rooted in antiquity, with allusion being made to Dido, the. It demonstrates that this theory offers a constructive methodology for middle-term forecasting, macroeconomic analysis and estimation of optimal values of economic characteristics on the basis of advanced global mathematical models, namely Computable General Equilibrium (CGE) Model, Dynamic Stochastic General Equilibrium (DSGE) Model, and. () Examples of optimal controls for linear stochastic control systems with partial observation. Stochastics , () A solvable stochastic control problem in hyperbolic three by:

A comprehensive resonant optimal control method is developed and discussed for suppressing homoclinic and heteroclinic bifurcations of a general one-degree-of-freedom nonlinear oscillator. Based on an adjustable phase shift, the primary resonant optimal control method is by: Jacob Kogan Ph.D. Weizmann Institute of Science, Research interests: Optimal Control Theory Finite Dimensional Optimization Bifurcation of Extremals in Optimal Control Current Teaching (Spring ): MATH ; MATH Academic Calendars Religious Holidays.   Optimal Control Theory for Applications - Ebook written by David G. Hull. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read Optimal Control Theory for Applications. LIST OF PUBLICATIONS. 1. with H. Schättler, An optimal control approach to cancer chemotherapy with tumor-immune system interactions, in Mathematical Models of Tumor-Immune System Dynamics, Springer (editors A. Eladaddi, ), (to appear).. 2. with H. Schättler and H. Maurer, Sufficient conditions for strong local optimality in optimal control problems with L 2-type objectives and.

Bifurcation of extremals in optimal control by Jacob Kogan Download PDF EPUB FB2

Bifurcation of Extremals in Optimal Control (Lecture Notes in Mathematics) [Kogan, Jacob] on *FREE* shipping on qualifying offers. Bifurcation of Extremals in Optimal Control (Lecture Notes in Mathematics)Cited by: 4.

Bifurcation of Extremals in Optimal Control. Authors; Jacob Kogan; Book. 4 Citations; Search within book. Front Matter. Pages I-VIII. PDF. Overview. Jacob Kogan. Pages Optimal control bifurcation control control system nonlinear control. Bibliographic information. DOI https. Bifurcation of Extremals in Optimal Control.

Authors: Kogan, Jacob Free Preview. Buy this book eB39 € price for Spain (gross) Buy Bifurcation of extremals in optimal control book ISBN ; Digitally watermarked, DRM-free; Included format: PDF; ebooks can be used on all.

Bifurcation of extremals in optimal control. Berlin ; New York: Springer-Verlag, © (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: Jacob Kogan. Get this from a library. Bifurcation of extremals in optimal control.

[Jacob Kogan]. Bifurcation of Extremals in Optimal Control Springer, Nam P. Bhatia, George P. Szego Stability Theory of Dynamical Systems Springer, Nam P. Bhatia, George P. Szego Dynamical Systems: Stability Theory and Applications Springer-Verlag,   Cite this chapter as: Kogan J.

() Optimal control problems with constraints. In: Bifurcation of Extremals in Optimal Control. Lecture Notes in Mathematics, vol Author: Jacob Kogan. Book Optimizarion (excerpts) 4 13 17 Book Universal Optimization and its Application Alexander Bolonkin (Excerpts from book) Abstract The book consists of three parts.

The first part describes new method of optimization that has the Extremals in optimal control problems. Preliminary remarks. In optimal control theory, after formulating a problem appropriate to the scenario, there are several basic problems: (a) to prove the existence of an optimal control, (b) to characterize the optimal control, (c) to prove the uniqueness of the control, (d) to compute the optimal control numerically, (e) to investigate how the optimal controlFile Size: KB.

Optimal Control Theory Version By Lawrence C. Evans Department of Mathematics ∈ A. Such a control α∗() is called optimal.

This task presents us with these mathematical issues: (i) Does an optimal control exist. (ii) How can we characterize an optimal control mathematically. The next example is from Chapter 2 of the book Caste File Size: KB. Electronic books: Additional Physical Format: Print version: Kogan, Jacob, Bifurcation of extremals in optimal control.

Berlin ; New York: Springer-Verlag, © (DLC) (OCoLC) Material Type: Document, Internet resource: Document Type: Internet Resource, Computer File: All Authors / Contributors: Jacob Kogan.

Genre/Form: Livres numériques: Additional Physical Format: Version imprimée: Kogan, Jacob, Bifurcation of extremals in optimal control. Berlin: Springer. Cite this chapter as: Kogan J. () Overview. In: Bifurcation of Extremals in Optimal Control. Lecture Notes in Mathematics, vol Springer, Berlin, Heidelberg.

Bifurcation of Extremals in Optimal Control. Springer-Verlag, Jacob Kogan. Robust Stability and Convexity. Springer-Verlag, Jacob Kogan, Charles Nicholas and Marc Teboulle (editors). Grouping Multidimensional Data. Springer-Verlag, Stability analysis and existence of Hopf bifurcation of the model are studied.

In Section 4, optimal control problem including virotherapy control and immunotherapy control is formulated. By using Pontryagin’s Maximum Principle, the necessary conditions for an optimal control and corresponding states are by: 7.

Cite this chapter as: Kogan J. () Branching points in linear control problems. In: Bifurcation of Extremals in Optimal Control. Lecture Notes in Mathematics, vol Author: Jacob Kogan. This paper introduces a new practical method for distinguishing chaotic, periodic and quasi-periodic orbits based on a new criterion, and apply it to investigate the local bifurcations of the Chen system.

Conditions for supercritical and subcritical bifurcations are obtained, with their parameter domains by: From the optimal control analysis we observed that optimal awareness and insecticide use could lead to effective control of the disease even when they were implemented at low intensities.

In addition, it was noted that insecticide control had a greater impact on minimizing the spread of the disease compared to awareness : Mlyashimbi Helikumi, Moatlhodi Kgosimore, Dmitry Kuznetsov, Steady Mushayabasa.

The above extremals have the following features (Fig. 2, Fig. 3).B-type (“ballistic”) extremals • provides a global extremum at L/D max less than the bifurcation value L/D bif max =.

time variations of the optimal pitch angle tangent are quasi-linear to correspond qualitatively to known solutions 4, 5; the aerodynamic forces influence weakly on the optimal control law structure;Cited by: 9.

SIAM Journal on Control and OptimizationAbstract | PDF ( KB) () Fields of extremals and sensitivity analysis for multi-input bilinear optimal control by: This work complements an earlier study by the same authors (Systems Control Lett.7 () 11–17) of stabilization and bifurcation control in the (Hopf bifurcation) case of two pure imaginary.

Bifurcation of Extremals in Optimal Control by Kogan, J. Material type: Book ; Format: print Publisher: New York: Springer June Availability: No items available.

Bifurcation of Extremals in Optimal Control. Home. WorldCat Home About WorldCat Help. Search. Search for Library Items Search for Lists Search for Contacts Search for a Library.

Create lists, bibliographies and reviews: or Search WorldCat. Find items in libraries near you. Backward Bifurcation and Optimal Control Analysis of a Trypanosoma brucei rhodesiense Content available from Steady Mushayabasa: mathematicsv2+ We use the method of characteristics to study singularities in the flow of a parameterized family of extremals for an optimal control problem.

By means of the Lyapunov–Schmidt reduction a. For nonlinear dynamic systems near bifurcation, the basins of attraction of fixed points as well as the steady-state responses can change considerably Cited by: 3.

Hopf-bifurcation analysis has been done numerically for autonomous case of our proposed model with respect to some important parameters.

At last, a optimal control problem is formulated and solved. Bifurcation control, on the other hand, refers to the task of optimal performance.

Ironically, recent research has shown that chaos and bifurcations can actually be quite useful under certain circumstances, and there is growing interest in utilizing the very Vol.

XIII- Control of Chaos and Bifurcations. () Stratifiable Families of Extremals and Sufficient Conditions for Optimality in Optimal Control Problems. Journal of Optimization Theory and Applications() Optimal Bang-Bang Controls for a Two-Compartment Model in Cancer by: Bifurcation control deals with modification of bifurcation characteristics of a parameterized nonlinear system by a designed control input.

Typical bifurcation control objectives include delaying the onset of an inherent bifurcation, stabilizing a bifurcated solution or branch, changing the parameter value of an existing bifurcation point, modifying the shape or type of a bifurcation chain Cited by:.

This type of extremals is defined in the sense of optimal control [90]. The conditions () and () define the Pontryagin extremal, which is stronger type of .In this paper, we use the method of characteristics to study singularities in the flow of a parameterized family of extremals for an optimal control problem.

By means of the Lyapunov--Schmidt reduction a characterization of fold and cusp points is given. Examples illustrate the local behaviors of the flow near these singular by: 1.Stability of equilibria is investigated and the existence of some local bifurcations is established: saddle-node bifurcation, Hopf bifurcation.

We use optimal control theory to provide the correct approach to natural resource management. Results are also obtained for optimal harvesting. Numerical simulations are given to illustrate the by: 1.