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CTAREContinuous-Time Algebraic Riccati Equation (mathematics)
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Properties of a quadratic matrix equation and the solution of the continuous-time algebraic Riccati equation. Linear Alg.
The term nonsymmetric distinguishes this case from the widely studied continuous-time algebraic Riccati equations (CARE), defined by the quadratic matrix equation
A number of applications from control theory and related areas lead to eigenvalue problems: stability radius and [H.sub.[infinity]] norm computation [23, 16], linear quadratic optimal control problems and the solution of continuous-time algebraic Riccati equations [5, 37, 42], H - [infinity] control [6, 7], passivity preserving model reduction [4, 43, 10], quadratic eigenvalue problems [39, 46], computation of pseudo spectra [20].
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