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- W2644554865 abstract "Abstract Observing the behavior of a “functional” J(t)=h(x(t)) along the system trajectory x(t) and making use of the variational formula for ΔJ corresponding to input perturbation δu(t), we can study stability, optimization and design procedures of the system. This is the basic way of thinking and the scope of study of our “Vari ational System Theory”. We decompose various concepts of system theory into combinations of four properties : complete invariance, output controllability, stability and functional independence. Then, the sui table combinations of necessary and/or sufficient conditions of these properties yields the design procedures. To illustrate our methods, we present a design procedure of state feedback law, with which the system is non-interacting and the disturbances are decoupled. Moreover, we present a defini tion of model following control system with a combination of complete invariance and stability, which is a natural one from the view point of variational approach. A sufficient condition is given and the obtained design procedure is successfully applied to an example of bilinear system : DC-motor. Some of our results seems to be equivalent to the “local” version of the studies via differential geometric approach. But, our methods are easy to understand and readily applicable to practical problems." @default.
- W2644554865 created "2017-06-30" @default.
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- W2644554865 date "1984-07-01" @default.
- W2644554865 modified "2023-09-25" @default.
- W2644554865 title "Variational System Theory (II)" @default.
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- W2644554865 doi "https://doi.org/10.1016/s1474-6670(17)61187-x" @default.
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