Some new results on algebraic Riccati equations arising in linear quadratic differential games and stabilization on uncertain linear systems
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Publication:1115383
DOI10.1016/0167-6911(88)90024-2zbMath0663.93022OpenAlexW2054114412MaRDI QIDQ1115383
Publication date: 1988
Published in: Systems \& Control Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-6911(88)90024-2
Stabilization of systems by feedback (93D15) Differential games (aspects of game theory) (91A23) Linear systems in control theory (93C05) Matrix equations and identities (15A24) Algebraic methods (93B25)
Related Items (10)
Robust stability analysis for uncertain delay systems with output feedback controller ⋮ On the solution of coupled Riccati equations used in mixed \(H_{2}\) and \(H_{\infty}\) optimal control ⋮ Inverse reinforcement learning for identification of linear-quadratic zero-sum differential games ⋮ Robust \(H_{\infty}\) control for linear time-invariant systems with norm-bounded uncertainty in the input matrix ⋮ Some open problems in matrix theory arising in linear systems and control ⋮ Bibliography on robust control ⋮ An algorithm for solving the singularly perturbed \(H_\infty\) algebraic Riccati equation ⋮ The finite-horizon singular \(H_{\infty}\) control problem with dynamic measurement feedback ⋮ State feedback \(H_{\infty}\) optimal control problems for non-detectable systems ⋮ The singular zero-sum differential game with stability using \(H_{\infty}\) control theory
Cites Work
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- Monotonicity of maximal solutions of algebraic Riccati equations
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- Linear quadratic differential games with cheap control
- Geometric state-space theory in linear multivariable control: A status report
- Disturbance attenuation and<tex>H^{∞}</tex>optimization: A design method based on the algebraic Riccati equation
- Convergence properties of the Riccati difference equation in optimal filtering of nonstabilizable systems
- High-gain observer approach to disturbance attenuation using measurement feedback
- On Hermitian Solutions of the Symmetric Algebraic Riccati Equation
- Values and strategies for infinite time linear quadratic games
- On values and strategies for infinite-time linear quadratic games
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