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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
A nonlinear differential pursuit game with a general closed terminal set is studied. Notions of various terminabilities are introduced. These notions include the notions of asymptotic stability, stabilizability and reachability of control systems. By using Lyapunov’s direct method; some sufficient conditions for these terminabilities of the game are ...
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A nonlinear differential pursuit game with a general closed terminal set is studied. Notions of various terminabilities are introduced. These notions include the notions of asymptotic stability, stabilizability and reachability of control systems. By using Lyapunov’s direct method; some sufficient conditions for these terminabilities of the game are ...
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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 notions of evadability and strict evadability are defined for a nonlinear differential game with general closed convex terminal set. Sufficient conditions for strict evadability and evadability and a necessary condition for evadability are proved.
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The notions of evadability and strict evadability are defined for a nonlinear differential game with general closed convex terminal set. Sufficient conditions for strict evadability and evadability and a necessary condition for evadability are proved.
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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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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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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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A differential game of retailer promotions
Automatica, 2003Assume that \(N\) retailers choose their local promotion rates to increase the demand at their outlets, while the manufacturer controls his promotion rate in national media. By doing this he affects in a positive way the brand image, while the retailers affect the brand image negatively despite the fact the latter has a positive impact on the outlet ...
Steffen Jørgensen, Georges Zaccour
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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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Noncooperative Differential Games
Milan Journal of Mathematics, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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