A differential game with graph constrained switching strategies

• Type: Article in International Conference Proceedings Book
• Date: 2002

Authors

João Tasso de Sousa (Author) FEUP; Fernando Lobo Pereira (Author) FEUP

Conference proceedings International

Title: IFAC SYMPOSIA SERIES

Pages: 887-891

5th IFAC Symposium on Nonlinear Control Systems

ST PETERSBURG, RUSSIA, JUL 04-06, 2001

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ISI Web of Knowledge - 0 Citations

ISI Web of Science

Scientific classification

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

Other information

Authenticus ID: P-000-RP3

Abstract (EN): A two-person zero-sum differential game of finite horizon with graph-constrained control strategies is adressed where both players are constrained to use piecewise constant controls, and the control switches are selected from a finite control graph. 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. Copyright (C) 2001 IFAC.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 5