A differential game with graph constrained dynamic switching strategies

• Type: Article in International Conference Proceedings Book
• Date: 2001

Authors

Pereira, FL (Author) FEUP; Sousa, JB (Author) FEUP

Conference proceedings International

Title: PROCEEDINGS OF THE 40TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5

Pages: 4394-4399

40th IEEE Conference on Decision and Control

ORLANDO, FL, DEC 04-07, 2001

Indexing

ISI Web of Knowledge - 2 Citations

Scopus - 3 Citations

Scientific classification

FOS: Engineering and technology > Electrical engineering, Electronic engineering, Information engineering

Other information

Authenticus ID: P-000-XR8

Abstract (EN): A two-person zero-sum differential game of finite horizon with graph-constrained control strategies is addressed where both players are constrained control switches selected from a finite control graph which may depend on the state of the system. The control graph is a directed graph where the vertices define pairs of control values for both players, and the edges define the allowable control switches. A positive switching cost is associated with each edge, being the payoff function defined by the sum of the switching costs associated with each player. Issues concerning both the existence of value of the game and optimality conditions are addressed. in terms of value functions. Optimal strategies are derived in terms of a value functions which solve a coupled system of quasi-variational inequalities.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 6