Faculty Publications

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Publications by NITK Faculty

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Author: search.filters.author.Naik, S.M.

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    Reliability Analysis of Petri Nets For Unmanned Aerial Vehicles
    (Institute of Electrical and Electronics Engineers Inc., 2024) Kumari, L.; Nandini, A.C.; Bhavitha, N.; Naik, S.M.; Das, M.; Mohan, B.R.
    In this project, we theoretically analyse the reliability of an Unmanned Aerial Vehicle system. We do this using Risk Assessment and Mitigation Analysis(RAMA) and Stochastic Petri Net(SPN) analysis. The RAMA describes the various ways in which a system can fail and the factors which cause them along with any possible actions that can correct them. It helps in identifying the critical factors that affect the flight of the vehicle. The Petri Net model is built by identifying four major components crucial for the successful flight of the vehicle. It helps us to identify the flow of events that lead to a particular final state. We also do the reachability analysis of the Petri Net model and analyse its liveness theoretically. This study is aimed to help identify the various fault points in UAVs which in turn can help in future improvements. © 2024 IEEE.
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    Generalized principal pivot transform and its inheritance properties
    (Springer Science and Business Media B.V., 2022) Kamaraj, K.; Johnson, P.S.; Naik, S.M.
    In this paper, some more properties of the generalized principal pivot transform are derived. Necessary and sufficient conditions for the equality between Moore–Penrose inverse of a generalized principal pivot transform and its complementary generalized principal pivot transform are presented. It has been shown that the generalized principal pivot transform preserves the rank of the symmetric part of a given square matrix. These results appear to be more generalized than the existing ones. Inheritance properties of P†-matrix are also characterized for generalized principal pivot transform. © 2022, The Author(s), under exclusive licence to The Forum D’Analystes.
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    Convergence of complementable operators
    (Elsevier Inc., 2025) Naik, S.M.; Johnson, P.
    Complementable operators extend classical matrix decompositions, such as the Schur complement, to the setting of infinite-dimensional Hilbert spaces, thereby broadening their applicability in various mathematical and physical contexts. This paper focuses on the convergence properties of complementable operators, investigating when the limit of sequence of complementable operators remains complementable. We also explore the convergence of sequences and series of powers of complementable operators, providing new insights into their convergence behavior. Additionally, we examine the conditions under which the set of complementable operators is the subset of set of boundary points of the set of non-complementable operators with respect to the strong operator topology. The paper further explores the topological structure of the subset of complementable operators, offering a characterization of its closed subsets. © 2025 Elsevier Inc.
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    Complementable operators and their Schur complements
    (Indian National Science Academy, 2025) Naik, S.M.; Johnson, P.
    In this paper, we characterize complementable operators and provide more precise expressions for the Schur complement of these operators using a single Douglas solution. We demonstrate the existence of subspaces where the given operator is invariably complementable. Additionally, we investigate the range-Hermitian property of these operators. © The Indian National Science Academy 2025.