\(H_ \infty\) optimal control for symmetric linear systems

DOI10.1007/BF03167205zbMath0826.49001MaRDI QIDQ689908

Satoru Iwata

Publication date: 16 November 1995

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Riccati equations\(H_ \infty\)-optimal controlsymmetric linear systemssymmetric optimal solution

Mathematics Subject Classification ID

(H^infty)-control (93B36) Linear systems in control theory (93C05) Existence theories for optimal control problems involving ordinary differential equations (49J15)

Related Items (2)

Structured semidefinite programs for the control of symmetric systems ⋮ Symmetric failures in symmetric control systems

Cites Work

• Hierarchical decomposition of symmetric discrete systems by matroid and group theories
• Symmetries and conservation laws for Hamiltonian systems with inputs and outputs: A generalization of Noether's theorem
• State-space solutions to standard H/sub 2/ and H/sub infinity / control problems
• The structure of nonlinear control systems possessing symmetries
• Partial symmetries for nonlinear systems
• Linear Control Theory with an ${\bf H}_\infty $ Optimality Criterion
• A contribution to matrix quadratic equations

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