Vahid Shojaei - Department of Electrical Engineering, Amirkabir University of technology
Masoud Shafiee - Department of Electrical Engineering, Amirkabir University of technology

This paper is concerned with the extension of differential game theory from state space systems to singular systems. At the outset, N-player nonzero-sum differential games are considered and sufficient conditions for the existence of a Nash-equilibrium solution to the game are derived. Two-person zero-sum dynamic game is regarded as a special case and sufficient conditions for the game to admit a feedback saddle-point solution are provided in terms of an extended Hamilton-Jacobi-Isaacs equation

Singular systems, differential game, Hamilton-Jacobi equations