Optimality of Linear Control Systems.
GRUMMAN AEROSPACE CORP BETHPAGE N Y RESEARCH DEPT
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It is shown that every linear system with nondynamic feedback is optimal with respect to a quadratic performance index that includes a cross-product term between the state and control. If the index is further generalized to include derivatives of the control, every sufficiently smooth linear, finite-dimensional dynamic feedback and feedforward control system is optimal with respect to such an index. Methods of constructing all such indices are indicated, and some practical implications are discussed. Author
- Theoretical Mathematics