Langevin Delay of Singular Control Systems: Reachability and Controllability

A theoretical work by G. Jothilakshmi of Alagappa University proposes an algebraic framework for analyzing fractional singular systems. The paper introduces a modern class of linear fractional singular delay systems with two orders and a decomposition method for matrix regular pencils. It includes a procedure for computing the reachable set and control input, illustrated with examples.

Use Cases

• Analyzing reachable sets in fractional singular systems based on the described algebraic framework.
• Studying controllability in linear fractional delay systems with two orders as proposed in the work.
• Testing computational procedures for control input design in singular systems.
• Benchmarking decomposition methods for matrix regular pencils in control theory.

Strengths

• The work is authored by a researcher from Alagappa University, providing academic credibility.
• The description outlines a specific algebraic theory and computational procedure for a modern class of systems.

Limitations

• Row count is unknown, which may limit suitability assessment.
• Column-level documentation is absent; field semantics must be inferred after download.
• Last update date is unknown; freshness unverified.

Provenance

Source

Alagappa University

Collection Method

Theoretical research paper.