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INTERACTIVE GAMES AND REPRESENTATION THEORY (1998)
| Content Provider | CiteSeerX |
|---|---|
| Abstract | math.FA/9803020 Abstract. This short note is a conceptual prologue to the series of articles devoted to the analysis of interrelations between the representation theory (especially, its inverse problems) and the control and games theory. This note was appeared as an attempt to formulate rigorously and mathematically the ideas of [1] and simultaneously to treat them in a more (mathematically) general context of control and games theories (see e.g.[2,3]). Definition 1. An interactive system (with n interactive controls) is a control system with n independent controls coupled with unknown or incompletely known feedbacks (the feedbacks as well as their couplings with controls are of a so complicated nature that their can not be described completely). An interactive game is a game with interactive controls of each player. Below we shall consider only deterministic and differential interactive systems. For symplicity we suppose that n = 2. In this case the general interactive system may be written in the form: |
| File Format | |
| Publisher Date | 1998-01-01 |
| Access Restriction | Open |
| Subject Keyword | Conceptual Prologue Interactive Game General Interactive System Short Note General Context Independent Control Interactive System Control System Interactive Game Representation Theory Interactive Control Differential Interactive System Inverse Problem Complicated Nature Representation Theory |
| Content Type | Text |
| Resource Type | Article |
