Observability and controllability of piecewise affine and hybrid systems

Observability and controllability of piecewise affine and hybrid systems
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DOI:
10.1109/cdc.1999.827980
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发表时间:
1999-12
期刊:
Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)
影响因子:
--
通讯作者:
A. Bemporad;G. Ferrari-Trecate;M. Morari
A. Bemporad;G. Ferrari-Trecate;M. Morari
中科院分区:
其他
文献类型:
--
作者:
A. Bemporad;G. Ferrari-Trecate;M. Morari

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我们证明,在建设性的方式,混合和分段仿射系统之间的等价性。通过将我们的调查集中在后一类,我们通过反例表明,可观性和可控性属性不能很容易地推导出的组成线性子系统。相反,我们提出了基于混合整数线性规划的实际数值测试。
We prove, in a constructive way, the equivalence between hybrid and piecewise affine systems. By focusing our investigation on the latter class, we show through counter-examples that observability and controllability properties cannot be easily deduced from those of the component linear subsystems. Instead, we propose practical numerical tests based on mixed-integer linear programming.