Results 251 to 260 of about 214,113 (294)
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IFAC Proceedings Volumes, 1990
The concept of the extension of terminal surface is pointed out for the first time in this paper. We use this concept to analyse one kind of one-versus-many multi-stage differential games of kind, then develope them to many-person two-team multi-stage differential games. To illustrate the solution of general problems we analyse a simple example.
Hai-Long Pei, Ming-An Tong
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The concept of the extension of terminal surface is pointed out for the first time in this paper. We use this concept to analyse one kind of one-versus-many multi-stage differential games of kind, then develope them to many-person two-team multi-stage differential games. To illustrate the solution of general problems we analyse a simple example.
Hai-Long Pei, Ming-An Tong
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SIAM Journal on Control and Optimization, 1988
The author discusses a uniform approach to problems of differential game theory, optimal control theory and stability theory. Notions for various purposes are introduced such as ``asymptotic stability'', ``stabilizability'' and ``controllability'' of control systems.
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The author discusses a uniform approach to problems of differential game theory, optimal control theory and stability theory. Notions for various purposes are introduced such as ``asymptotic stability'', ``stabilizability'' and ``controllability'' of control systems.
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SIAM Journal on Control, 1974
A pursuit problem and an evasion problem are formulated and results are obtained for the case in which the dynamics are governed by linear differential equations and the terminal set is a linear manifold in the state space. Conditions are given ensuring the existence of an open set in the phase space such that if the initial state belongs to this set ...
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A pursuit problem and an evasion problem are formulated and results are obtained for the case in which the dynamics are governed by linear differential equations and the terminal set is a linear manifold in the state space. Conditions are given ensuring the existence of an open set in the phase space such that if the initial state belongs to this set ...
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SIAM Journal on Control and Optimization, 1988
The evasion problem for nonlinear systems with closed (or closed and convex) terminal manifold is studied. The controls of the pursuer are measurable functions with values in a compact set U while the evader chooses the value of his control at time t based on the previously chosen control of the pursuer and on the trajectory of the state equation up to
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The evasion problem for nonlinear systems with closed (or closed and convex) terminal manifold is studied. The controls of the pursuer are measurable functions with values in a compact set U while the evader chooses the value of his control at time t based on the previously chosen control of the pursuer and on the trajectory of the state equation up to
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Noncooperative Differential Games
Milan Journal of Mathematics, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An Overview of Differential Games
1981The paper is concerned with some general problems of differential game theory and is organized in six sections. Sections I-II include examples, descriptions of the main notions of the theory of differential games (such as dynamic system, decision-maker, available information, performance criteria etc.).
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ON THE THEORY OF DIFFERENTIAL GAMES
Russian Mathematical Surveys, 1966CONTENTSIntroduction § 1. The pursuit problem § 2. The differential game § 3. Introduction of new variables § 4. Proof of the first version of Theorem 1 § 5. Linear differential games § 6. The control example of the pursuit problem § 7. A sharpening of condition 5 § 8. Proof of the second version of Theorem 1 § 9.
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A Differential Game in Economics
Management Science, 1971The problem of profit maximization for two firms manufacturing the same commodity is cast as a differential game. The qualitative aspects of the equilibrium point solution of the game are then discussed with the aid of some results on ordinary differential equations.
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SIAM Journal on Control and Optimization, 2009
This paper concerns the existence of a possible discontinuous value for a zero sum two-player reflected differential game under Isaacs condition. We characterize the value function as the unique solution—in a suitable sense—to a variational inequality, namely, the Hamilton-Jacobi-Isaacs differential inclusion.
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This paper concerns the existence of a possible discontinuous value for a zero sum two-player reflected differential game under Isaacs condition. We characterize the value function as the unique solution—in a suitable sense—to a variational inequality, namely, the Hamilton-Jacobi-Isaacs differential inclusion.
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ON A CLASS OF DIFFERENTIAL GAMES
1969Two player zero-sum differential games with emphasis on play with state determined by differential equations, noting optimal ...
Leĭtman, G., Mon, G.
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