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Hewer Controllability and Kalman Controllability of Lyapunov Matrix Periodic Systems

M. S. V. D. Sudarsan*, Venkata Sundaranand Putcha**, G. V. S. R. Deekshitulu***

* Department of Mathematics, V R Siddhartha School of Engineering, Siddhartha Academy of Higher Education, Deemed to be University, Kanuru, Vijayawada, Andhra Pradesh, India.

** Department of Mathematics, Rayalaseema University, Kurnool, Andhra Pradesh, India.

*** Department of Mathematics, Jawaharlal Nehru Technological University, Kakinada, Andhra Pradesh, India.

Periodicity:January - June'2025
DOI : https://doi.org/10.26634/jmat.14.1.21822

Abstract

This paper explores the relationship between Kalman Controllability (K-Controllability) and Hewer Controllability (H- Controllability) of Lyapunov Matrix periodic systems, which have extensive applications in cyber physical systems, power systems, robotics and the analysis and design of control systems. This paper establishes the equivalence of K- Controllability and H- Controllability of Lyapunov matrix periodic systems through the period of the system and degree of the minimal polynomial of the monodromy matrix of the system.

Keywords

Matrix Lyapunov Systems, Hewer Controllability, Kalman Controllability, Periodic Systems, Continuous Systems. AMS Subject Classification: 93B05, 93B07, 93B35, 93C05, 93C15.

How to Cite this Article?

Sudarsan, M. S. V. D., Putcha, V. S., and Deekshitulu, G. V. S. R. (2025). Hewer Controllability and Kalman Controllability of Lyapunov Matrix Periodic Systems. i-manager’s Journal on Mathematics, 14(1), 33-42. https://doi.org/10.26634/jmat.14.1.21822

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Hewer Controllability and Kalman Controllability of Lyapunov Matrix Periodic Systems

Abstract

Keywords

How to Cite this Article?

References

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