Explicit solution of an initial problem for a matrix differential equation involving three matrices with a single time lag

Key Points

• The aim is to derive an explicit solution for a specific type of matrix differential equation involving time lag and multiple matrices.
• Derivation of explicit solution for second-order linear matrix differential equation.
• Focus on equations with constant coefficients.
• Examination of the role of time lag in matrix interactions.
• An explicit solution is successfully derived.
• Connections with previous research findings are discussed.
• Potential future research areas are proposed.