The Algebraic Riccati Equation and Inequality for Systems with Uncontrollable Modes on the Imaginary Axis

DOI10.1137/S0895479892234776zbMath0837.15013OpenAlexW2064834174MaRDI QIDQ4857585

Carsten W. Scherer

Publication date: 13 May 1996

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0895479892234776

zbMATH Keywords

Lyapunov equationalgebraic Riccati equationpositive definite solutionsquadratic equationalgebraic Riccati inequalitysolvability teststate-feedback \(H_ \infty\)-control problemsystems with uncontrollable modes

Mathematics Subject Classification ID

Linear inequalities of matrices (15A39) (H^infty)-control (93B36) Linear systems in control theory (93C05) Matrix equations and identities (15A24) Model systems in control theory (93C99)

Related Items (3)

The general nonstrict algebraic Riccati inequality ⋮ A characterization of solutions of the ARE and ARI ⋮ A complete algebraic solvability test for the nonstrict Lyapunov inequality

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