Stability, performance and sensitivity analysis of I.I.D. jump linear systems

Jorge R. Chávez-Fuentes; Oscar R. Gonzalez; W. Steven Gray

Stability, performance and sensitivity analysis of I.I.D. jump linear systems

Jorge R. Chávez-Fuentes
, Oscar R. Gonzalez
, W. Steven Gray

Sección de Matemáticas

Old Dominion University

Research output: Contribution to journal › Article › peer-review

Abstract

This paper presents a symmetric Kronecker product analysis of independent and identically distributed jump linear systems to develop new, lower dimensional equations for the stability and performance analysis of this type of systems than what is currently available. In addition, new closed form expressions characterising multi-parameter relative sensitivity functions for performance metrics are introduced. The analysis technique is illustrated with a distributed fault-tolerant flight control example where the communication links are allowed to fail randomly.

Original language	Spanish
Pages (from-to)	1460-1472
Number of pages	13
Journal	International Journal of Control
Volume	91
State	Published - 3 Jun 2018

Cite this

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title = "Stability, performance and sensitivity analysis of I.I.D. jump linear systems",

abstract = "This paper presents a symmetric Kronecker product analysis of independent and identically distributed jump linear systems to develop new, lower dimensional equations for the stability and performance analysis of this type of systems than what is currently available. In addition, new closed form expressions characterising multi-parameter relative sensitivity functions for performance metrics are introduced. The analysis technique is illustrated with a distributed fault-tolerant flight control example where the communication links are allowed to fail randomly.",

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journal = "International Journal of Control",

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AU - Gonzalez, Oscar R.

AU - Steven Gray, W.

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Y1 - 2018/6/3

N2 - This paper presents a symmetric Kronecker product analysis of independent and identically distributed jump linear systems to develop new, lower dimensional equations for the stability and performance analysis of this type of systems than what is currently available. In addition, new closed form expressions characterising multi-parameter relative sensitivity functions for performance metrics are introduced. The analysis technique is illustrated with a distributed fault-tolerant flight control example where the communication links are allowed to fail randomly.

AB - This paper presents a symmetric Kronecker product analysis of independent and identically distributed jump linear systems to develop new, lower dimensional equations for the stability and performance analysis of this type of systems than what is currently available. In addition, new closed form expressions characterising multi-parameter relative sensitivity functions for performance metrics are introduced. The analysis technique is illustrated with a distributed fault-tolerant flight control example where the communication links are allowed to fail randomly.

M3 - Artículo

SN - 0020-7179

VL - 91

SP - 1460

EP - 1472

JO - International Journal of Control

JF - International Journal of Control

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