New estimates of upper bounds for the solutions of the continuous algebraic Riccati equation and the redundant control inputs problems
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Publication:1987288
DOI10.1016/j.automatica.2020.108936zbMath1440.93051OpenAlexW3013246119MaRDI QIDQ1987288
Li Wang, Jianzhou Liu, Ying Bai
Publication date: 14 April 2020
Published in: Automatica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.automatica.2020.108936
Inequalities involving eigenvalues and eigenvectors (15A42) Algebraic methods (93B25) Existence theories in calculus of variations and optimal control (49J99)
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Cites Work
- New solution bounds for the continuous algebraic Riccati equation
- The effects of redundant control inputs in optimal control
- Robust stabilization of linear systems with norm-bounded time-varying uncertainty
- Some theorems on the inertia of general matrices
- A structured condition number for self-adjoint polynomial matrix equations with applications in linear control
- On the effects of redundant control inputs
- New matrix bounds and iterative algorithms for the discrete coupled algebraic Riccati equation
- Comments on "A matrix inequality associated with bounds on solutions of algebraic Riccati and Lyapunov equation" by J.M. Saniuk and I.B. Rhodes
- A lower bound for the solution of the algebraic Riccati equation of optimal control and a geometric convergence rate for the Kleinman algorithm
- A new lower bound on the cost of optimal regulators
- A matrix inequality associated with bounds on solutions of algebraic Riccati and Lyapunov equations
- Two new upper bounds of the solution for the continuous algebraic Riccati equation and their application
- New Upper and Lower Eigenvalue Bounds for the Solution of the Continuous Algebraic <scp>R</scp>iccati Equation