Analysis of a two-unit system with connecting and disconnecting effect

Goel, C. K.; Narmada, Steven; Jacob, Mendus

doi:10.1016/0026-2714(95)00017-8

Cited by 1 publication

(3 citation statements)

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“…In the assumptions as before, by supplementary variables, according to [1], the dynamic system can be expressed by the following integral differential equation group:…”

Section: The Mathematical Modelmentioning

confidence: 99%

“…Based on the assumption, this paper will discuss the exponential stability and reliability of the system (1).…”

Section: Functional Analysis Of the Systemmentioning

confidence: 99%

“…In [1], the authors established the mathematic models of a two-unit system with connecting and disconnecting effect (see system (1)), and studied the steady solution of the system by the method of Laplace-transform. In [2], the authors proved that the solution of the system is asymptotic stability and its steady solution is the eigenvector which is corresponding to the eigenvalue 0 of the system operator.…”

Section: Introductionmentioning

confidence: 99%

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Reliability Analysis of a Two-Unit System with Connecting and Disconnecting Effect

Peng

Guo

2012

AMM

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A Two-Unit system with connecting and disconnecting effect is studied in this paper. By the method of Functional analysis strong continuous semi-group, the paper analyzes the restriction of essential spectral growth bound of the system operator. The restriction of essential spectral growth bound of the system operator and the change of the essential spectral radius after perturbation is analyzed. The essential spectral radius of the system operator is also discussed before and after perturbation. The results show that under some conditions the dynamic solution of the system is exponential stability and tends to the steady solution of the system. At last, we analyze the reliability of the system.

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“…In the assumptions as before, by supplementary variables, according to [1], the dynamic system can be expressed by the following integral differential equation group:…”

Section: The Mathematical Modelmentioning

confidence: 99%

“…Based on the assumption, this paper will discuss the exponential stability and reliability of the system (1).…”

Section: Functional Analysis Of the Systemmentioning

confidence: 99%