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On Complete and Strong Controllability for Rectangular Descriptor Systems

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Abstract

Algebraic criteria have been developed to check the complete and strong controllability for rectangular descriptor systems. Under the assumption of controllability at infinity, the complete controllability for a descriptor system has been proved to be equivalent to the controllability for a normal system. The essence of the technique to design the proposed normal system is based on the row and column compression operations of basic matrix theory. The strong controllability concept for a descriptor system is related with the complete controllability concept for another descriptor system. Examples are provided to illustrate the theory.

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Acknowledgments

The research of second author was supported by the CSIR, New Delhi under Grant Number 25(0195)11/EMR-II. The authors are thankful to the anonymous reviewers for their valuable comments.

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  1. Department of Mathematics, Indian Institute of Technology Patna, Patna, 800 013, Bihar, India

    Vikas Kumar Mishra & Nutan Kumar Tomar

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  1. Vikas Kumar Mishra
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  2. Nutan Kumar Tomar
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Correspondence to Nutan Kumar Tomar.

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Mishra, V.K., Tomar, N.K. On Complete and Strong Controllability for Rectangular Descriptor Systems. Circuits Syst Signal Process 35, 1395–1406 (2016). https://doi.org/10.1007/s00034-015-0111-8

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