摘要: This paper considers the general discrete-time descriptor system gk(x(k), x(k + 1), u(k)) = 0, where each gk and x(k) is n-dimensional, Systems of this form arise in many contexts, including interconnected systems, systems with static identities among variables, optimization problems, economic problems. In addition, equations standard theoretical developments, questions reachability, two-point boundary value problem arising optimal control, models based on rational expectations. develops underlying theory non-linear briefly indicates some areas application.