Modeling of linear time-varying systems by linear time-invariant systems of lower order
Hamed Nosrati, H. E. Meadows
Abstract
Hamed Nosrati, H. E. Meadows
Abstract
A technique for modeling linear time-varying differential systems by linear time-invariant systems of lower order is discussed and criteria for determining stability, uniqueness, and the choice of the model of a given dimension are developed. In addition, a lower bound for the minimized performance index is derived and the effect on it of decreasing the dimension of the model is demonstrated.
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A technique for modeling linear time-varying differential systems by linear time-invariant systems of lower order is discussed and criteria for determining stability, uniqueness, and the choice of the model of a given dimension are developed. In addition, a lower bound for the minimized performance index is derived and the effect on it of decreasing the dimension of the model is demonstrated.
Key concepts: LTI system theory, Linear system, Control theory (sociology), Uniqueness, Mathematics, Upper and lower bounds, Dimension (graph theory), Applied mathematics