대한수학회보 (Bulletin of the Korean Mathematical Society)
- 제32권2호
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- Pages.163-170
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- 1995
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- 1015-8634(pISSN)
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- 2234-3016(eISSN)
NON-OVERLAPPING CONTROL SYSTEMS ON AFF(R)
- Chae, Younki (Department of Mathematics, Kyungpook National University) ;
- Lim, Yongdo (Department of Mathematics, Kyungpook National University)
- 발행 : 1995.08.01
초록
Let G be a Lie group with Lie algebra L(G) and let $\Omega$ be a nonempty subset of L(G). If $\Omega$ is interpreted as the set of controls, then the set of elements attainable from the identity for the system $\Omega$ is a subsemigroup of G. A system $\Omega$ is called a non-overlapping control system if any element attainable for $\Omega$ is only attainable at one time.