Internally Positive Representation of a Class of Continuous Time Systems

Cacace F.; Farina L.; Germani A.; Manes C.

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Internally Positive Representation of a Class of Continuous Time Systems

机译：一类连续时间系统的内部正表示

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摘要

The problem of realizing arbitrary transfer functions as combinations of positive filters, or, more in general, of representing arbitrary systems by means of Internally Positive Representations (IPRs), has been widely investigated in the discrete-time framework. An IPR is a positive state-space representation, endowed with input, state and output transformations, that realizes arbitrary input-state-output dynamics. This technical note investigates the problem of the IPR construction for continuous-time systems, and proposes a technique that provides stable IPRs for a particular class of systems.

机译：在离散时间框架中，已经广泛研究了将任意传递函数实现为正滤波器的组合，或更一般而言，通过内部正表示（IPR）表示任意系统的问题。 IPR是具有输入，状态和输出转换的正状态空间表示，可实现任意的输入状态输出动态。本技术说明研究了连续时间系统的IPR构建问题，并提出了为特定类型的系统提供稳定IPR的技术。

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来源
《Automatic Control, IEEE Transactions on》 |2012年第12期|p.3158-3163|共6页
作者
Cacace F.; Farina L.; Germani A.; Manes C.;
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作者单位

Campus Bio-Medico di Roma, Roma, Italy;

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正文语种 eng
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关键词
Internally positive representation (IPR); linear systems; positive systems; state-space realization;

机译：内部正表示（IPR）;线性系统;正系统;状态空间实现;

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专利

1. Stable Internally Positive Representations of Continuous Time Systems [J] . IEEE Transactions on Automatic Control . 2014,第4期

机译：连续时间系统的稳定内部正表示
2. Discussion on: 'Representation of a Class of MIMO Systems via Internally Positive Realization' [J] . Lorenzo Farina European Journal of Control . 2010,第3期

机译：讨论：“通过内部肯定实现表示一类MIMO系统”
3. Representation of a Class of MIMO Systems via Internally Positive Realization [J] . Alfredo Germani, Costanzo Manes, Pasquale Palumbo European Journal of Control . 2010,第3期

机译：通过内部正实现表示一类MIMO系统
4. Internally Positive Representations and Stability Analysis of Linear Delay Systems with Multiple Time-Varying Delays [C] . Francesco Conte, Vittorio De Iuliis, Costanzo Manes Multidisciplinary International Symposium on Positive Systems: Theory and Applications . 2017

机译：具有多个时变延迟的线性延迟系统的内部正呈现和稳定性分析
5. Positive control with maximum stability radius for continuous-time dynamic systems. [D] . Oghbaee, Amirreza. 2015

机译：连续动态系统具有最大稳定半径的正控制。
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7. Internally positive representations and stability analysis of linear differential systems with multiple time‐varying delays [O] . Vittorio De Iuliis, Alessandro DInnocenzo, Alfredo Germani, 2019

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Internally Positive Representation of a Class of Continuous Time Systems

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