IEEE Transactions on Automatic Control · 1987 · 31 citations · 8 references
Natural SciencesMathematicsDifferential EquationsDynamical SystemsControl TheoryDynamic Systems AnalysisNonlinear DynamicsStabilityStability TheorySystems Of Differential EquationsLower BoundsLyapunov FunctionsLyapunov StabilityLyapunov Stability AnalysisLyapunov Stability TheoryStability Analysis Of Linear Systems
Upper and lower bounds for the trace of the solution of the Lyapunov matrix differential equation are derived. It is shown that they are obtained as solutions to simple scalar differential equations. As a special case, the bounds for the stationary solution give ones for the solution to the Lyapunov algebraic equation.
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