Abstract
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.
Highlights
In the last year, a big amount of research was dedicated to develop technique for the multidimensional system to work the solutions of several physical problems and special emphasis has been placed on the output feedback stabilization problem and the multidimensional stability problem
The multidimensional linear system plays an important role in control theory and circuit and system theory and arises in many fields such as digital filters, How to cite this paper: Ramesh, P. (2016) Stability Analysis of Multi-Dimensional Linear Discrete System and Root Distribution Using Sign Criterion with Real Coefficients
To reduce complexity in this paper the multi-dimensional characteristics equation has been converted into equivalent one-dimensional characteristics equation and the coefficients of equivalent one-dimensional characteristics polynomial have been utilized for stability test using proposed single modified Jury tabulation and sign criterion
Summary
A big amount of research was dedicated to develop technique for the multidimensional system to work the solutions of several physical problems and special emphasis has been placed on the output feedback stabilization problem and the multidimensional stability problem. The multidimensional linear system plays an important role in control theory and circuit and system theory and arises in many fields such as digital filters, How to cite this paper: Ramesh, P. (2016) Stability Analysis of Multi-Dimensional Linear Discrete System and Root Distribution Using Sign Criterion with Real Coefficients. P. Ramesh image processing, video processing, seismic data processing, bio-medical digital processing, control processing of radar and sonar data, medical imagery, etc. Stability analysis of multidimensional system is much more complex than that of one dimensional system. To reduce complexity in this paper the multi-dimensional characteristics equation has been converted into equivalent one-dimensional characteristics equation and the coefficients of equivalent one-dimensional characteristics polynomial have been utilized for stability test using proposed single modified Jury tabulation and sign criterion
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