Discrete time system stability analysis using polynomial arrays

Hu, Xingyu; Yee, H.; Ng, Taria Shin Yi

doi:10.1049/ip-d.1992.0051

Cited by 3 publications

(1 citation statement)

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“…Nagrath et al in [23] proposed an algebraic criterion for determining whether or not the roots of the characteristics polynomial within a unit circle there by determining the system stability using Jury stability method. Hu et al proposed a polynomial array method and applications in stability tests for one and two dimensional discrete systems were discussed in [24]. Ezra Zehab et al revealed a new theorems in [25] which can be used to find the zeros set of a variable where the distinguished boundary of the parameters domain of definition, in the closed plane.…”

Section: Literature Surveymentioning

confidence: 99%

Stability Analysis of Multi-Dimensional Linear Discrete System and Root Distribution Using Sign Criterion with Real Coefficients

Ramesh¹

2016

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A new idea was proposed to find out the stability and root location of multi-dimensional linear time invariant discrete system (LTIDS) for real coefficient polynomials. For determining stability the sign criterion is synthesized from the Jury's method for stability which is derived from the characteristic polynomial coefficients of the discrete system. The number of roots lying inside or outside the unit circle and hence on the unit circle is directly determined from the proposed single modified Jury tabulation and the sign criterion. The proposed scheme is simple and the examples are given to bring out the merits of the proposed scheme which is also applicable for the singular and non-singular cases.

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Section: Literature Surveymentioning

confidence: 99%

Stability Analysis of Multi-Dimensional Linear Discrete System and Root Distribution Using Sign Criterion with Real Coefficients

Ramesh¹

2016

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Polynomial array for F(z/sub 1/, z/sub 2/) on mod z/sub 1/ mod =1 and 2-D filter stability test

Yee

1992

IEEE Trans. Signal Process.

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A Distributed Expert System for Stability Analysis

Tzeng

Hong²,

Liao

et al.

Proceedings. The First IEEE Regional Conference on Aerospace Control Systems,

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Based on distributed artiflcial intelligence technology, the paper proposes a distributed expert system for analyzing system stability. The d e v e l o p e d e x p e r t s y s t e m is a m u l t iagent s y s t e m , e a c h p r o c e s s i n g a g e n t of which can compute autonomously and cooperate with other agents to reason an accurate and satisfactory solution for stability analy- sis. In addition, a two-level control mechanism composed of local-control and metacontrol is also proposed t o achieve a high d e g r e e of g o o d n e s s in a n a l y z i n g s y s t e m stability in this i s s u e . , T o demonstrate i t s e f f e c t , the distributed e x p e r t s y s t e m has been tested of practical dais. Test resultsindicate that the distributed expert system will be a valuable part of help desk to assist system analysts in making decision.

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Discrete time system stability analysis using polynomial arrays

Cited by 3 publications

References 1 publication

Stability Analysis of Multi-Dimensional Linear Discrete System and Root Distribution Using Sign Criterion with Real Coefficients

Stability Analysis of Multi-Dimensional Linear Discrete System and Root Distribution Using Sign Criterion with Real Coefficients

Polynomial array for F(z/sub 1/, z/sub 2/) on mod z/sub 1/ mod =1 and 2-D filter stability test

A Distributed Expert System for Stability Analysis

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