Download or read book Singular Differential Game Numerical Technique and Closed Loop Guidance and Control Strategies written by Kamran Forouhar and published by . This book was released on 1982 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this report a class of linear quadratic pursuit-evasion games with bounds on the pursuer's control has been defined. In this problem the pursuer's control appears linearly in the Hamiltonian and singular arcs may occur in the solution. A sufficient condition for the existence of a saddle point for this class of problems is derived. An indirect numerical technique has been proposed to generate a rapid and accurate solution to a class of problems with linear state equations in which singular arcs occur. Then, by linearization this technique is extended to solve a class of problems with non-linear state equations. By modifying this technique a second approach has been obtained that can solve a broader class of singular problems with linear state equations. The effect of the deviation of one player from the saddle point strategy on the performance index and the opponent's strategy has been studied for a two person zero-sum differential game with perfect information. An inverse system technique is used to determine the opponent's strategy by periodically measuring the state or the output of the system. Then, the proposed technique for singular problems is applied periodically to generate an approximate closed loop solution (which takes into consideration the deviation of the opponent from the saddle point trajectory) to achieve better performance than simply following the optimal open loop solution. A numerical example is presented to illustrate the efficiency of the proposed algorithm, and, comparisons have been made between the results of the open loop and closed loop solutions.
Download or read book Singular Differential Game Numerical Techniques and Closed Loop Strategies written by Kamran Forouhar and published by . This book was released on 1980 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1992-11 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Control and Dynamic Systems V17 written by C.T. Leonides and published by Elsevier. This book was released on 2012-12-02 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: Control and Dynamic Systems: Advances in Theory and Application, Volume 17 deals with the theory of differential games and its applications. It provides a unique presentation of the differential game theory as well as the use of algorithms for solving this complex class problems. This book discusses fundamental concepts and system problem formulation for differential game systems. It also considers pursuit-evasion games and on-line real time computer control techniques. This book will serve as a useful reference for those interested in effective computations for differential games.
Download or read book Stochastic and Differential Games written by Martino Bardi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of two-person, zero-sum differential games started at the be ginning of the 1960s with the works of R. Isaacs in the United States and L.S. Pontryagin and his school in the former Soviet Union. Isaacs based his work on the Dynamic Programming method. He analyzed many special cases of the partial differential equation now called Hamilton Jacobi-Isaacs-briefiy HJI-trying to solve them explicitly and synthe sizing optimal feedbacks from the solution. He began a study of singular surfaces that was continued mainly by J. Breakwell and P. Bernhard and led to the explicit solution of some low-dimensional but highly nontriv ial games; a recent survey of this theory can be found in the book by J. Lewin entitled Differential Games (Springer, 1994). Since the early stages of the theory, several authors worked on making the notion of value of a differential game precise and providing a rigorous derivation of the HJI equation, which does not have a classical solution in most cases; we mention here the works of W. Fleming, A. Friedman (see his book, Differential Games, Wiley, 1971), P.P. Varaiya, E. Roxin, R.J. Elliott and N.J. Kalton, N.N. Krasovskii, and A.I. Subbotin (see their book Po sitional Differential Games, Nauka, 1974, and Springer, 1988), and L.D. Berkovitz. A major breakthrough was the introduction in the 1980s of two new notions of generalized solution for Hamilton-Jacobi equations, namely, viscosity solutions, by M.G. Crandall and P.-L.
Download or read book Differential Games written by Joseph Lewin and published by Springer. This book was released on 1994 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential games theory is the most appropriate discipline for the modelling and analysis of real life conflict problems. The theory of differential games is here treated with an emphasis on the construction of solutions to actual problems with singular surfaces. The reader is provided with the knowledge necessary to put the theory of differential games into practice.
Download or read book Differential Games A Concise Introduction written by Jiongmin Yong and published by World Scientific. This book was released on 2014-12-05 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book uses a small volume to present the most basic results for deterministic two-person differential games. The presentation begins with optimization of a single function, followed by a basic theory for two-person games. For dynamic situations, the author first recalls control theory which is treated as single-person differential games. Then a systematic theory of two-person differential games is concisely presented, including evasion and pursuit problems, zero-sum problems and LQ differential games.The book is intended to be self-contained, assuming that the readers have basic knowledge of calculus, linear algebra, and elementary ordinary differential equations. The readership of the book could be junior/senior undergraduate and graduate students with majors related to applied mathematics, who are interested in differential games. Researchers in some other related areas, such as engineering, social science, etc. will also find the book useful.
Download or read book Differential Games written by Raimo P. Hämäläinen and published by Springer. This book was released on 1991 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Government Reports Announcements Index written by and published by . This book was released on 1983 with total page 1364 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Government reports annual index written by and published by . This book was released on 199? with total page 1370 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1976 with total page 990 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On Closed loop Epsilon Strategies for Differential Games written by Harri Ehtamo and published by . This book was released on 1988 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Control Applications of Nonlinear Programming and Optimization 1989 written by H.B. Siguerdidjane and published by Elsevier. This book was released on 2014-07-04 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: These Proceedings provide valuable information on the exchange of ideas between scientists who apply nonlinear programming and optimization to real world control problems and those who develop new methods, algorithms and software. The papers deal with windshear problems, optimization of aircraft and spacecraft trajectories, optimal control for robots, the optimization of urban traffic control, general mechanical systems, multilevel inventory systems and robust control.
Download or read book Singular Perturbations in Systems and Control written by Kokotovic Petar V and published by New York : Institute of Electrical and Electronics Engineers. This book was released on 1986 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: Very Good,No Highlights or Markup,all pages are intact.
Download or read book Pursuit Evasion Differential Games written by Y. Yavin and published by Elsevier. This book was released on 2014-06-28 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Twenty papers are devoted to the treatment of a wide spectrum of problems in the theory and applications of dynamic games with the emphasis on pursuit-evasion differential games. The problem of capturability is thoroughly investigated, also the problem of noise-corrupted (state) measurements. Attention is given to aerial combat problems and their attendant modelling issues, such as variable speed of the combatants, the three-dimensionality of physical space, and the combat problem, i.e. problems related to 'role determination'.
Download or read book Interference Problems on Wing fuselage Combinations in Inviscid Incompressible Flow written by Aeronautical Research Council (Great Britain) and published by . This book was released on 1974 with total page 1212 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Government Reports Announcements written by and published by . This book was released on 1971 with total page 1910 pages. Available in PDF, EPUB and Kindle. Book excerpt:
