| HAN KYENGCHENG.[J].数学年刊A辑,1980,1(1):31~39 |
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| DUALITY IN LINEAR CONTROL SYSTEMS |
| Received:June 07, 1978 Revised:October 19, 1978 |
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| 英文摘要: |
| The present paper establishes various duality relations-equalities which exist in linear control systems. By means of these relations, we demonstrate various duality properties in the theory of linear control systems. In particular we discuss the duality of controllability and observability of linear systems, the concepts of controllability and observability in stochastic systems the duality of regulator and observer of time-invariant systems and the duality property of reduced dimension observers etc.
The duality relation established here is used to solve the problem of min-max state estimation in systems with uncertainty. |
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