Optimal control and differential games
| dc.contributor.advisor | Mitiku, Semu(PhD) | |
| dc.contributor.author | Dagne, Waltengus | |
| dc.date.accessioned | 2018-07-19T07:08:22Z | |
| dc.date.accessioned | 2023-11-04T12:30:42Z | |
| dc.date.available | 2018-07-19T07:08:22Z | |
| dc.date.available | 2023-11-04T12:30:42Z | |
| dc.date.issued | 2016-06-26 | |
| dc.description.abstract | A differential game problem is a generalized optimal control problem in cases where there are more than one decision makers, called players. However, differential games are conceptually far more complex than optimal control problems in the sense that it is no longer obvious what constitutes a solution. If the number of players are two, one player chooses the control u1(t) 2 u1 _ <mu1 and tries to maximize his cost functional J1(u1; u2), while the other player chooses the control u2(t) 2 u2 _ <mu2 and tries to maximize his cost functional J2(u1; u2) within a common dynamic system which is described by di_erential equation of the form x_ (t) = f(t; x; u1; u2). Where u1(t) and u2(t) are the controls implemented by therst and second player respectively. In this cases, solving a differential game problem is mathematically quite tricky in order to satisfy the absolute need of the two players. Depending on the willingness of the two players they may cooperate or may not cooperate each other. In this project, we discussed only non cooperative di_erential game in particular by adopting open-loop strategies and feedback(closed-loop) strategies to solve the problem of the game. Solution procedures for two person di_erential games are also discussed | en_US |
| dc.identifier.uri | http://etd.aau.edu.et/handle/123456789/9358 | |
| dc.language.iso | en | en_US |
| dc.publisher | Addis Ababa University | en_US |
| dc.subject | Optimal control | en_US |
| dc.subject | Differential | en_US |
| dc.title | Optimal control and differential games | en_US |
| dc.type | Thesis | en_US |