|Statement||Gabasov Kirillova ; [translated from Russian by N. H. Choksy.]|
|Contributions||Kirillova, F. M.|
|LC Classifications||QA402.3 .G3213, QA402.3 G3213|
|The Physical Object|
|Pagination||ix, 264 leaves. --|
|Number of Pages||264|
() All optimal controls for the singular linear-quadratic problem without stability; a new interpretation of the optimal cost. Linear Algebra and its Applications , Harry L. by: An optimal control problem with a control delay is considered, and a more broad class of singular (in classical sense) controls is investigated. Various sequences of necessary conditions for the optimality of singular controls in recurrent form are obtained. These optimality conditions include analogues of the Kelley, Kopp–Moyer, R. Gabasov, and equality-type by: 1. Singular Control Technologies is an independent consulting company that helps clients optimize their oil refining processes. We use our years of experience, strong theoretical background in control theory, in-depth knowledge and precise decision-making to achieve optimal performance from . : Singular Optimal Control Problems (Mathematics in Science and Engineering, Vol. ) (): D. J. Bell, David H. Jacobson: BooksCited by:
Abstract. These lecture notes are intended to provide an elementary account of some of the recent mathematical effort in applying singular perturbations theory to optimal control problems, to demonstrate the practical importance of this asymptotic technique to current engineering studies, and to suggest several open problems needing further by: 1. Introduction. As is known, optimal control problems described by the dynamical systems with retarded control are attracting the attention of many specialists, and the results obtained in this field deal mainly with the first-order necessary optimality conditions [1–8, etc.].However, theory of singular controls for systems with retarded control has not been studied enough yet [9, 10].Cited by: 1. Spr Singular Problems 10–1 There are occasions when the PMP – So now both u(t) and x(t) are known, and the optimal solution is to “bang oﬀ” and then follow a singular arc. J • H is linear in the controls, and the minimum is found by minimizing. To obtain existence of an optimal control Haussmann and Suo [U.G. Haussmann, W. Suo, Singular optimal stochastic controls I: Existence, SIAM J. Control Optim. 33 (3) () –] relaxed the.
This paper presents a general necessary condition for singular time optimal control of robotic manipulation moving along specified paths. Early work by Bobrow-Dubowsky () and Author: Zvi Shiller. Comparing to existing approach which constructs a sequence of non-singular optimal controls to converge a singular optimal control, the computational performance of the proposed method in this paper presents a way to determine a Pontryagin extremal control by Cited by: 1. optimal singular subarcs in trajectory optimization, singular control has become a reality and the inclusion of such subarcs in the overall optimal trajectory has to be considered. This, in turn, leads to the investigation of the problem of joining optimal singular and nonsingular subarcs [ 15 - THE NECESSARY CONDITION FOR OPTIMALITY OF SINGULAR CONTROLS* I. T. SKORODINSKII Tomsk (Received 11 May ; revised 25 September ) THE NECESSARY condition for optimality in the form of an inequality given in  is extended to the case of an optimal two-component singular control which is linear with respect to the connecting equations. : I.T. Skorodinskii.