Journal of Computer and Systems Sciences International · 2017 · 12 citations · 2 references
Natural SciencesMathematicsSystems EngineeringDifferential EquationsDynamical SystemsSystem DynamicsContinuous Dynamical SystemsContinuous SystemsControl TheoryDiscrete Dynamical SystemsStability TheorySystems Of Differential EquationsContinuous System DynamicsContinuous-time Dynamical SystemsDiscrete Nonlinear SystemsLyapunov FunctionsLyapunov StabilityLyapunov Stability TheoryStability Of Continuous Systems
An approach to forming analytical solutions of the discrete and continuous Sylvester and Lyapunov linear algebraic matrix equations is described. The approach is based on reducing the square matrix to the Jordan normal form. Examples, algorithms, and implementations in Matlab are presented.
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