On a state space approach to nonlinear \(H_ \infty\) control
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Publication:1175504
DOI10.1016/0167-6911(91)90022-7zbMath0737.93018OpenAlexW2113350382MaRDI QIDQ1175504
Publication date: 25 June 1992
Published in: Systems \& Control Letters (Search for Journal in Brave)
Full work available at URL: https://research.utwente.nl/en/publications/on-a-state-space-approach-to-nonlinear-hl-control(a096e606-070d-431a-92a3-dbd49510b887).html
Nonlinear systems in control theory (93C10) (H^infty)-control (93B36) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Hamilton-Jacobi theories (49L99)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A course in \(H_{\infty}\) control theory
- A bisection method for computing the \(H_{\infty}\) norm of a transfer matrix and related problems
- H/sub infinity /-optimal control with state-feedback
- Connections between finite-gain and asymptotic stability
- New relationships between input-output and Lyapunov stability
- <tex>L_infty</tex>-stability criteria for interconnected systems using exponential weighting
