Optimal Control of the b-family Equation
نویسندگان
چکیده
Abstract: This paper studies the problem of optimal control of the b-family equation. Result existence and uniqueness of weak solution in the interval to the b-family equation. According to variational inequality, optimal control theories and distributed parameter system control theories, it is proved that in the special Banach space, the norm of solution is related to the control item and initial value. The optimal control of the b-family equation under boundary condition is given in L2 space, and the existence of optimal solution is proved.
منابع مشابه
Solving optimal control problems with integral equations or integral equations - differential with the help of cubic B-spline scaling functions and wavelets
In this paper, a numerical method based on cubic B-spline scaling functions and wavelets for solving optimal control problems with the dynamical system of the integral equation or the differential-integral equation is discussed. The Operational matrices of derivative and integration of the product of two cubic B-spline wavelet vectors, collocation method and Gauss-Legendre integration rule for ...
متن کاملA New Near Optimal High Gain Controller For The Non-Minimum Phase Affine Nonlinear Systems
In this paper, a new analytical method to find a near-optimal high gain controller for the non-minimum phase affine nonlinear systems is introduced. This controller is derived based on the closed form solution of the Hamilton-Jacobi-Bellman (HJB) equation associated with the cheap control problem. This methodology employs an algebraic equation with parametric coefficients for the systems with s...
متن کاملSolving linear and nonlinear optimal control problem using modified adomian decomposition method
First Riccati equation with matrix variable coefficients, arising in optimal and robust control approach, is considered. An analytical approximation of the solution of nonlinear differential Riccati equation is investigated using the Adomian decomposition method. An application in optimal control is presented. The solution in different order of approximations and different methods of approximat...
متن کاملOptimal adaptive leader-follower consensus of linear multi-agent systems: Known and unknown dynamics
In this paper, the optimal adaptive leader-follower consensus of linear continuous time multi-agent systems is considered. The error dynamics of each player depends on its neighbors’ information. Detailed analysis of online optimal leader-follower consensus under known and unknown dynamics is presented. The introduced reinforcement learning-based algorithms learn online the approximate solution...
متن کاملB-Spline Solution of Boundary Value Problems of Fractional Order Based on Optimal Control Strategy
In this paper, boundary value problems of fractional order are converted into an optimal control problems. Then an approximate solution is constructed from translations and dilations of a B-spline function such that the exact boundary conditions are satisfied. The fractional differential operators are taken in the Riemann-Liouville and Caputo sense. Several example are given and the optimal err...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2007