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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

A geometrical approach to linear systems based on the Riccati equation

Lewis, Frank Leroy 05 1900 (has links)
No description available.

On various equilibrium solutions for linear quadratic noncooperative games

Wang, Xu, January 2007 (has links)
Thesis (Ph. D.)--Ohio State University, 2007. / Title from first page of PDF file. Includes bibliographical references (p. 103-109).

Singularity and symmetry analysis of differential sequences.

Maharaj, Adhir. January 2009 (has links)
We introduce the notion of differential sequences generated by generators of sequences. We discuss the Riccati sequence in terms of symmetry analysis, singularity analysis and identification of the complete symmetry group for each member of the sequence. We provide their invariants and first integrals. We propose a generalisation of the Riccati sequence and investigate its properties in terms of singularity analysis. We find that the coefficients of the leading-order terms and the resonances obey certain structural rules. We also demonstrate the uniqueness of the Riccati sequence up to an equivalence class. We discuss the properties of the differential sequence based upon the equation ww''−2w12 = 0 in terms of symmetry and singularity analyses. The alternate sequence is also discussed. When we analyse the generalised equation ww'' − (1 − c)w12 = 0, we find that the symmetry properties of the generalised sequence are the same as for the original sequence and that the singularity properties are similar. Finally we discuss the Emden-Fowler sequence in terms of its singularity and symmetry properties. / Thesis (Ph.D.)-University of KwaZulu-Natal, Westville, 2009.

A Schur method for solving algebraic Riccati equations

January 1978 (has links)
by Alan J. Laub. / Bibliography: p. 44-46. / Research supported by Contract ERDA-E(49-18)-2087.

On the numerical solution of the discrete time algebraic Riccati equation

January 1979 (has links)
by T. Pappas, A.J. Laub, N.R. Sandell, Jr. / Bibliography: leaf 38. / "May 1979." / Contract ERDA-E(49-18)-2087 Contract No. DAAG29-79-C-0031

Comparison and Oscillation Theorems for Second Order Linear Differential Equations

Yen, Wen-I 11 January 2012 (has links)
This thesis is intended to be a survey on the comparison theorems and oscillation theorems for second order linear differential equations. We shall discuss four comparison theorems in detail: Sturm-Picone, Levin, Reid and Leighton comparison theorems. For oscillation properties, we shall study Hille-Kneser theorems, and Wintner and Leighton oscillation criteria, which involves analysis of a Riccati equation. In 1969, J.S.W. Wong had some deep results about oscillatory and nonoscillatory differential equations. We shall explain these results and some of the examples in detail. This survey is mainly based on the monographs of Swanson [12], and Deng [20], plus a paper of Wong [18]. In some places, we give simplifications and extensions.

Formation control of car-like mobile robots

Panimadai Ramaswamy, Shweta Annapurani, January 2008 (has links) (PDF)
Thesis (M.S.)--Missouri University of Science and Technology, 2008. / Vita. The entire thesis text is included in file. Title from title screen of thesis/dissertation PDF file (viewed April 14, 2008) Includes bibliographical references (p. 119-121).

The sign algorithm for solving coupled algebraic matrix riccati equations /

Jarernsri Limsupavanich. Supachai tangwongsan, January 1983 (has links) (PDF)
Thesis (M.Sc. (Applied Mathematics))--Mahidol University, 1983.

Iterative decomposition of the Lyapunov and Riccati equations

January 1978 (has links)
by Norman August Lehtomaki. / Bibliography: p. 161-163. / Originally presented as the author's thesis, (M.S.) in the M.I.T. Dept. of Electrical Engineering and Computer Science, 1978. / Prepared under Dept. of Energy, Division of Electric Energy Systems Grant ERDA-E(49-18)-2087.

A Distributed Parameter Approach to Optimal Filtering and Estimation with Mobile Sensor Networks

Rautenberg, Carlos Nicolas 05 May 2010 (has links)
In this thesis we develop a rigorous mathematical framework for analyzing and approximating optimal sensor placement problems for distributed parameter systems and apply these results to PDE problems defined by the convection-diffusion equations. The mathematical problem is formulated as a distributed parameter optimal control problem with integral Riccati equations as constraints. In order to prove existence of the optimal sensor network and to construct a framework in which to develop rigorous numerical integration of the Riccati equations, we develop a theory based on Bochner integrable solutions of the Riccati equations. In particular, we focus on ℐ<sub>p</sub>-valued continuous solutions of the Bochner integral Riccati equation. We give new results concerning the smoothing effect achieved by multiplying a general strongly continuous mapping by operators in ℐ<sub>p</sub>. These smoothing results are essential to the proofs of the existence of Bochner integrable solutions of the Riccati integral equations. We also establish that multiplication of continuous ℐ<sub>p</sub>-valued functions improves convergence properties of strongly continuous approximating mappings and specifically approximating C₀-semigroups. We develop a Galerkin type numerical scheme for approximating the solutions of the integral Riccati equation and prove convergence of the approximating solutions in the ℐ<sub>p</sub>-norm. Numerical examples are given to illustrate the theory. / Ph. D.

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