Non-linear descriptor systems

作者: David G. Luenberger

DOI: 10.1016/S0165-1889(79)90122-2

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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.

参考文章(3)
D. Luenberger, Dynamic equations in descriptor form IEEE Transactions on Automatic Control. ,vol. 22, pp. 312- 321 ,(1977) , 10.1109/TAC.1977.1101502