[PDF] Top 20 On the Solution of a Optimal Control Problem for a Hyperbolic System

... In system (2), the term is considered to be an external force. External forces in this form of separation of variables are important in modelling vibrations. In [5] Yamamoto point out that the system (2) is ... See full document

... theorem for the generalized solution of Schrödinger equation and then we discretize the given optimal control problem. In Section 2 we state and prove a theorem for the stability of the ... See full document

... namical system and the positivity of ...of optimal solutions to our optimal control problem and their characterization by the optimality conditions in the framework of the Pontryagin ... See full document

... the solution is. This problem could be eas- ily solved by modern methods such as stochastic gradient search, which is successfully applied today for the training of artificial neural networks (ANNs), but in ... See full document

... Bolza problem governed by a linear time-varying Darboux- Goursat system and a nonlinear cost functional, without the assumption of the convexity of an integrand with respect to the state ...an ... See full document

... the control trajectory is updated itera- tively by using the Gauss-Newton ...the optimal control law is constructed from the model-based optimal control problem, which is not ... See full document

... the optimal control problem with a sphere ...analytic solution expressed by the co-state via canonical dual ...constrained optimal control problem is studied and the ... See full document

... quadratic optimal control problem governed by a linear hyperbolic integro-differential equation is ...the solution of the optimal control ...the optimal convergence ... See full document

... value problem posed for the symmetric t-hyperbolic ...linear hyperbolic system with variable coef- ficients and with the lower order term in dissipative boundary ...numerical solution. ... See full document

... the optimal control problem associated to the controlled fractional equation has a unique ...adjoint problem defined by means of the right fractional Caputo derivative, we obtain an optimality ... See full document

... global solution for problem (). In Section , we consider the optimal control problem and prove the existence of an optimal ...optimality system is ... See full document

... nonlinear terms, which are challenging to solve numerically. Furthermore, in engineering applications, we often interest in an optimal solution of the con- sidered PDE with a certain objective function. ... See full document

... linear optimal control model with model-reality dif- ferences in solving the nonlinear optimal control problem, especially for dis- crete-time nonlinear stochastic optimal ... See full document

... The problem of synthesizing the control of the intellectual suspension of a vehicle is regarded as a problem of synthesizing optimal law of the Lagrangian system parametric ... See full document

... For simulation programs, the operative data- base must be organized for the servicing of the pro- gram and storing of the results of the calculations. By organizing a database it is possible to classify a sys- tem of ... See full document

... study optimal control problems for the hyperbolic equations with a damping term involving ...an optimal control and the Gâteaux differentiability of a solution mapping on ... See full document

... tion (Bellman equation) into the linear ordinary differential equation (ODE). From this linear ODE, we easily obtain the general solution and particular solution to Cauchy equa- tion. So it is possible to ... See full document

... hybrid hyperbolic dynamic system formulated by partial dif- ferential equations with initial and boundary ...An optimal energy control of the system is ...the system is ... See full document

... Transportation problem is exceptionally powerful crucial part of linear programming problem which can be connected for required sources of supply to corresponding destination of demand, with the end goal ... See full document

... master-slave control of hydraulic servo system is a dual closed-loop system, which takes position closed loop as the main control system, pressure closed loop as the supplementary, ... See full document