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Routh-Hurwitz Criterion II01:19

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In the application of the Routh-Hurwitz criterion, two specific scenarios can arise that complicate stability analysis.
The first scenario occurs when a singular zero appears in the first column of the Routh table. This situation creates a division by zero issues. To resolve this, a small positive or negative number, denoted as epsilon (∈), is substituted for the zero. The stability analysis proceeds by assuming a sign for ∈. If ∈ is positive, any sign change in the first...
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Consider an electrical power grid, where stability is essential to prevent blackouts. The Routh-Hurwitz criterion is a valuable tool for assessing system stability under varying load conditions or faults. By analyzing the closed-loop transfer function, the Routh-Hurwitz criterion helps determine whether the system remains stable.
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In structural engineering, the equilibrium of a system is not only determined by its equations of equilibrium but also with the help of constraints. Constraints refer to restrictions on the motion of a system. The proper combinations of constraints can minimize the total number of constraints needed to maintain a system in mechanical equilibrium. When this happens, the system is said to be statically determinate. For such systems, the unknown reaction supports can be estimated using equilibrium...
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Updated: Jun 9, 2025

Executing Complexity-Increasing Queries in Relational MySQL and NoSQL MongoDB and EXist Size-Growing ISO/EN 13606 Standardized EHR Databases
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An optimized dynamic attribute-based searchable encryption scheme.

Shahzad Khan1,2, Shawal Khan3, Abdul Waheed4,5

  • 1Department of Information Security, Military College of Signals (MCS), NUST, Islamabad, Pakistan.

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Summary
This summary is machine-generated.

This study introduces a novel attribute-based keyword searching (ABKS) scheme for cloud computing. It enhances data privacy and searchability without costly computations, improving efficiency and enabling policy updates.

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Area of Science:

  • Computer Science
  • Information Security
  • Cloud Computing

Background:

  • Cloud computing offers scalable resources but raises privacy and security concerns due to third-party data handling.
  • Traditional encryption methods limit data utility in the cloud.
  • Attribute-Based Encryption (ABE) and Searchable Encryption (SE) combined as Attribute-Based Keyword Searching (ABKS) offer a solution but often involve computationally expensive operations.

Purpose of the Study:

  • To propose an efficient and secure Attribute-Based Keyword Searching (ABKS) scheme for cloud environments.
  • To address the limitations of existing ABKS schemes, particularly their reliance on costly pairing operations and secret reconstruction mechanisms.
  • To enable dynamic updates of access control policies without re-encrypting data.

Main Methods:

  • Developed a novel ABKS scheme that avoids expensive bilinear pairing operations during search.
  • Eliminated the need for costly Lagrange interpolation for secret reconstruction.
  • Designed the scheme to support access control policy updates on ciphertexts.

Main Results:

  • The proposed scheme demonstrates enhanced efficiency by avoiding computationally intensive pairing operations.
  • Security is proven under the Decisional Bilinear Diffie-Hellmen (DBDH) assumption in the selective-set model.
  • Experimental evaluations confirm the scheme's communication and overall efficiency, along with its ability to update access policies.

Conclusions:

  • The proposed ABKS scheme provides a practical and efficient solution for secure data searching in cloud environments.
  • It effectively balances security requirements with computational efficiency, making cloud data more usable.
  • The ability to update access policies without re-encryption offers significant advantages for dynamic cloud data management.