Gaitsgory, V., Limit Hamilton-Jacobi-Isaacs Equations for Singularly Perturbed Zero-Sum Differential Games, Int. J. Math. Anal. Appl., 1996, vol. 202, pp. 862-899.Gaitsgory, V., "Limit Hamilton-Jacobi-Isaacs Equations for Singu- larly Perturbed Zero-Sum Differential Games," Journal of ...
In the Dynamic Programming approach for differential games, the value function for the zero-sum game satisfies the so-called Hamilton–Jacobi–Isaacs equation, the resulting Hamiltonian being nonconvex. In the classical high frequency asymptotics for wave propagation in elastic solids, the phase ...
In this paper we extend to completely general nonlinear systems the result stating that the $ {{\cal H}}_\infty $ suboptimal control problem is solved if and only if the corresponding Hamilton—Jacobi—Isaacs (HJI) equation has a nonnegative (super)solution. This is well known for linear ...
ABU-KHALAFMurad;LEWISFrankL.andHUANGJie."Hamilton-Jacobi-IsaacsFormulationforConstrainedInputNonlinearSystems".PaperpresentedintheProceedingsof43rdIEEEConferenceonDecisionandControl,p.5034-5039.Atlantis,ParadiseIsland(Bahamas)2004.12.14. WANGMichaelYuandWANGXiaoming."PDE-DrivenLevelSetsAndShapeSensitivityforStructural...
We establish the dynamic programming principle (DPP), and obtain that the lower and upper value functions are the unique viscosity solutions of the corresponding systems for partial differential equations (PDEs) of Hamilton-Jacobi-Bellman-Isaacs' (HJBI) type. 展开 ...
In this chapter, we propose a new algorithm to solve Riccati equations and certain Hamilton—Jacobi—Bellman—Isaacs (HJBI) equations arising in $$H_{\infty}$$...
Exact parameter variation tolerances were...Kevin A WiseIEEEIEEE CDCSuccessive Approximation Solution to the Hamilton-Jacobi-Isaacs Equation,". Wise,K.A,J Sedwick. Proc of the 33rd IEEE CDC . 1994
M. D. S. Aliyu, "An approach for solving the Hamilton-Jacobi- Isaacs equation (HJIE) in nonlinear H∞ control," Automatica, vol. 39, no. 5, pp. 877-884, 2003.An approach for solving the Hamilton–Jacobi–Isaacs equation (HJIE) in nonlinear H ∞ control[J] . M.D.S. Aliyu....
We consider adaptive approaches to the solution of the Hamilton-Jacobi-Isaacs equation (HJIE) arising from the H/sub /spl infin// control problem for nonlinear systems. We propose three approaches to the practical stabilization of a class of nonlinear systems using exact or approximate solutions ...
Galerkin approximations of the generalized HJB equation Automatica (1997) S.T. Glad Robustness of nonlinear state-feedback-a survey Automatica (1987) Aliyu, M. D. S. (to appear). An approach for solving the Hamilton–Jacobi–Isaacs equation arising in nonlinear H∞... L. Arnold Stochastic ...