The main goal and novelty of the present work consists in obtaining and investigating a Hamilton Jacobi Isaacs Equation satisfied by the upper and the lower values of the game. Since we obtain a uniqueness result for such Hamilton Jacobi equation, as a byproduct, this gives an alternative ...
The difficulty of obtaining a nonlinear control law is due to the fact that the difference Hamilton-Jacobi-Isaacs equations (32), (33) is a nonlinear partial differential equation. Similarly matrices of the observer [G.sub.i] gain coefficients (27) are found from approximate solutions of the ...
该文提出一种利用变量梯度理论求解Hamilton-Jacobi-Issacs不等式的方法并以此来构造电力系统H〈,∞〉励磁控制器,该控制器抑制干扰的区域是一个可以预先设定的非局部区域. 梅生伟,孙元章 - 全国电工数学学术年会 被引量: 1发表: 1997年 Hamilton-Jacobi-Issacs不等式的变量梯度法求解与励磁系统H控制器设计 该文提出一...
Based on Hamilton-Jacobi-Isaacs equation, we deal with a design problem of the state feedback controller for the nonlinear H∞ control problem. Making use of the emergent property of Genetic Programming, we try to approximately obtain the solution of the Hamilton-Jacobi-Isaacs equation. By introd...
Hamilton-Jacobi-Isaacs for- mulation for constrained input systems: neural network solution. F.L.Lewis,M.Abu-Khalaf,J.Huang. Proceedings of 2nd IFAC Symposium on System,Structure and Control . 2004F.L.Lewis,M.Abu-Khalaf,J.Huang.Hamilton-Jacobi-Isaacs for- mulation for constrained input systems...
Sethian in 1996 to solve numerically the eikonal equation. The new... E Cristiani - 《Journal of Scientific Computing》 被引量: 46发表: 2009年 Optimal control of first-order Hamilton-Jacobi equations with linearly bounded Hamiltonian We consider the optimal control of solutions of first order ...
In this paper, we study the Hamilton-Jacobi-Isaacs equation of zerosum differential games with discontinuous running cost. For such class of equations, the... M Garavello,P Soravia - 《Journal of Optimization Theory & Applications》 被引量: 44发表: 2006年 Representation Formulas for Solutions ...
In this chapter, we propose a new algorithm to solve Riccati equations and certain Hamilton—Jacobi—Bellman—Isaacs (HJBI) equations arising in \\(H_{\\infty}\\) control. The need for the algorithm is motivated by the existence of \\(H_{\\infty}\\) problems for which standard Riccati...
Unlike the previous investigation of the sufficient conditions for the convergence of minimax solutions of singularly perturbed Hamilton-Jacobi (H-J) equations, a typical example of which would be the Bellman-Isaacs (B-I) equations, convergence conditions are formulated not in terms of auxiliary cons...
In the framework of viscosity solutions, we give an extension of the strong comparison result for Hamilton–Jacobi–Bellman (HJB) equations with Dirichlet boundary conditions to the case of some non-smooth domains. In particular, it may be applied to parabolic problems on cylindrical domains. To ...