可观测性
马尔可夫链
线性系统
离散时间和连续时间
Riccati方程
代数Riccati方程
代数数
马尔可夫过程
数学
国家(计算机科学)
二次方程
应用数学
跳跃
计算机科学
控制理论(社会学)
算法
控制(管理)
微分方程
数学分析
人工智能
量子力学
几何学
统计
物理
作者
E.E. Costa,J.B.R. do Val
标识
DOI:10.1109/cdc.2000.914151
摘要
Presents a detectability concept for discrete time Markov jump linear systems with finite Markov state, which generalizes the MS-detectability concept found in the literature. The new sense of detectability can similarly assure that the solution of the coupled algebraic Riccati equation associated to the quadratic control problem is a stabilizing solution. In addition, the paper introduces a related observability concept which also generalizes previous concepts. Tests for detectability or observability are derived from the corresponding definitions, that can be performed in a finite number of steps. An illustrative example is included to show that a system may be detectable in the new sense but not in the MS sense.
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