Linear Quadratic Differential Games: Closed Loop Saddle Points

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Linear Quadratic Differential Games: Closed Loop Saddle Points

The object of this paper is to revisit the results of P. Bernhard (J. Optim. Theory Appl. 27 (1979), 51–69) on two-person zero-sum linear quadratic differential games and generalize them to utility functions without positivity assumptions on the matrices acting on the state variable and to linear dynamics with bounded measurable data matrices. The paper specializes to state feedback via Lebesgu...

متن کامل

Sequential Linear Quadratic Method for Differential Games

In this paper, we present a numerical method for computing a Nash solution to a zero-sum differential game for a general nonlinear system based on a sequential linearquadratic approximations. The technique is used to design a game-theoretic controller. Numerical results are given which show the performance of the method as well as the performance of the resulting controller under noisy observat...

متن کامل

Numerical Approaches to Linear-Quadratic Differential Games

A two-person pursuit-evasion stochastic differential game with state and measurement,y corrupted by noises is considered. In an earlier paper the problem was reformulated and solved in an infinite-dimensional-state space, and the existence of saddle-point solutions under certain conditions was proved. 7he present paper provides a numerical solution for the resulting continuous-time integro-part...

متن کامل

On the Linear - Quadratic , Closed - Loop , No - Memory Nash Game

Linear closed-loop no-memory strategies for the LQ Nash game are considered. We exhibit a class of such problems with the property that the solution exists for any finite time interval; for the infinite time case, there exist none or a unique or many solutions, depending on the choice of the parameters. In addition, the limit of the finite time solution as the time interval increases does not h...

متن کامل

Disturbed Discrete Time Linear-Quadratic Open-Loop Nash games

We examine disturbed linear-quadratic games, where each player chooses his strategy according to a modified Nash equilibrium model under open-loop information structure. We give conditions for the existence and uniqueness of such an equilibrium. We also show how these conditions are related to certain Riccati difference equations and a boundary value problem.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: SIAM Journal on Control and Optimization

سال: 2009

ISSN: 0363-0129,1095-7138

DOI: 10.1137/070696593