Browsing by Subject "Riccati equation"
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Item A study of initial-value methods for calculating critical lengths via invariant imbedding(Texas Tech University, 1978-08) Edie, JosephNot availableItem Abstract Riccati equations in a finite Lp1s space and applications to transport theory(Texas Tech University, 1987-08) Juang, JonqNot availableItem Computation of eigenlengths of singular two point boundary value problems by invariant imbedding(Texas Tech University, 1979-05) Elder, Ira ThurmanNOT AVAILABLEItem Initial Studies of Riccati Equations Arising in Stochastic Linear System Theory(Texas Tech University, 1977-12) Yao, Mong LingNot Available.Item Suboptimal control with optimal quadratic regulators(Texas Tech University, 1979-05) Karmokolias, ConstantineIn general, the problem posed by Optimal Control Theory is to provide a given system, Z, with an appropriate input, so that the system achieves a performance which exhibits certain desired characteristics. For relatively few requirements, closed form mathematical solutions may often be possible. If however, the solution is not feasible, a suboptimal scheme must be used. In fact, such a scheme may be preferable simply because it may be easier to implement. For example, a two-step procedure was proposed in [1], where a feedback matrix is used to transfer the system from some initial state to the vicinity of the desired state in minimum time. Then a second matrix is switched on to guarantee maximum stability. In [2] a closed loop, approximately time-optimal strategy was developed for a class of linear systems with a total effort constraint.Item The geometry of two point boundary value problem(Texas Tech University, 1986-08) Balakumar, SivanandanNot availableItem The observability of Burgers' equation, the Riccati equation, and the heat equation(Texas Tech University, 1995-05) El-Qasas, Majed OmarThe question of observability is that of recovering the initial data from a point measurement. This problem has been intensively studied by Martin, Gilliam. Wolf, etc. In this dissertation research we are looking at the observability of Burger's equation via the representation of solutions as ratio of solutions of the heat equation. This extends the work of Martin and Ghosh on the observability of Riccati equation. Also we have shown that the boundary data for the one-dimensional heat system given in Chapter II can be determined up to a linear equivalence relation in the Grassmannian manifold G'^{R^) by the spectra which can be recovered from a point observation. Finally, in Chapter III, we are looking at the explicit solution of the nonlinear Burgers' system.