A spectrum-invariant diagonalizing transformation and canonical fundamental matrix using dynamic eigenvalues from a Riccati Characteristic Equation unify the treatment of time-varying, time-invariant, and periodic linear systems.
On characteristic equations, dynamic eigenvalues, Lyapunov exponents and Floquet numbers for linear time -varying systems
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The Riccati equation is the characteristic equation for linear time-varying systems, with solutions forming unique complementary pairs that include a compact general form encompassing all known cases.
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A Complete Approach to Time Varying Linear Systems
A spectrum-invariant diagonalizing transformation and canonical fundamental matrix using dynamic eigenvalues from a Riccati Characteristic Equation unify the treatment of time-varying, time-invariant, and periodic linear systems.
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The Riccati Characteristic Equation
The Riccati equation is the characteristic equation for linear time-varying systems, with solutions forming unique complementary pairs that include a compact general form encompassing all known cases.