Summary
Implicit or descriptor systems, F(x′, x, u, t) = 0, arise in many applications. Much of the early work on linear time invariant systems was done in the electrical engineering and control literature. Subsequent nonlinear and time varying results have tended to be in other areas. This paper surveys some of the nonlinear theory and then relates it to several control problems. The emphasis is on nonlinear and linear time varying systems.
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Campbell, S.L., Nikoukhah, R., Delebecque, F. (1999). Nonlinear Descriptor Systems. In: Frank, P.M. (eds) Advances in Control. Springer, London. https://doi.org/10.1007/978-1-4471-0853-5_9
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DOI: https://doi.org/10.1007/978-1-4471-0853-5_9
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