This paper is concerned with the extension of the Hamilton-Jacobi equation from the state space system to the descriptor system. The principle of optimality is interpreted in the sense of the strategy (or closed-loop control). The Hamilton-Jacobi equation for the descriptor system is derived. An illustrative example is given to show the application of the Hamilton-Jacobi equation in the optimal control problem. © 1993.
Xu, H., & Mizukami, K. (1993). Hamilton-Jacobi equation for descriptor systems. Systems and Control Letters, 21(4), 321–327. https://doi.org/10.1016/0167-6911(93)90075-H