Matrix bounds of the solutions of the continuous and discrete Riccati equations--a unified approach
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Publication:4443288
DOI10.1080/0020717031000105580zbMath1087.93022OpenAlexW1979164898MaRDI QIDQ4443288
Publication date: 2003
Published in: International Journal of Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/0020717031000105580
Matrix equations and identities (15A24) Linear-quadratic optimal control problems (49N10) Synthesis problems (93B50)
Related Items (9)
New upper and lower bounds, the iteration algorithm for the solution of the discrete algebraic Riccati equation ⋮ DARE solutions for LQ optimal and suboptimal control of systems with multiple input-output delays ⋮ Co-design of linear systems using generalized Benders decomposition ⋮ Convergence analysis of Newton method without inversion for solving discrete algebraic Riccati equations ⋮ New upper bounds on the solution matrix to the continuous algebraic Riccati matrix equation ⋮ New solution bounds for the continuous algebraic Riccati equation ⋮ New lower solution bounds of the continuous algebraic Riccati matrix equation ⋮ New upper solution bounds of the discrete algebraic Riccati matrix equation ⋮ Numerical algorithms of the discrete coupled algebraic Riccati equation arising in optimal control systems
Cites Work
- Unnamed Item
- Extreme properties of eigenvalues of a hermitian transformation and singular values of the sum and product of linear transformations
- Bounds for the solution of the Lyapunov matrix equation - a unified approach
- Matrix bounds of the discrete ARE solution
- Robust root clustering for linear uncertain systems using generalized Lyapunov theory
- New results for the bounds of the solution for the continuous Riccati and Lyapunov equations
- On the upper and lower bounds of the solution for the continuous Riccati matrix equation
- On the estimation of solution bounds of the generalized Lyapunov equations and the robust root clustering for the linear perturbed systems
- A brief summary of the bounds on the solution of the algebraic matrix equations in control theory
- A note on the discrete Lyapunov and Riccati matrix equations
- Eigenvalue bounds for the discrete Lyapunov matrix equation
- On bounds of the Riccati and Lyapunov matrix equations
- Bounds for the eigenvalues of the solution of the discrete Riccati and Lyapunov equations and the continuous Lyapunov equation
- On the discrete Lyapunov matrix equation
- Lower summation bounds for the discrete Riccati and Lyapunov equations
- Upper bounds for the solution of the discrete Riccati equation
- A note on the algebraic matrix Riccati equation
- Upper and lower bounds on the solution of the algebraic Riccati equation
- Iterative matrix bounds and computational solutions to the discrete algebraic Riccati equation
- A new approach for the robust stability of perturbed systems with a class of noncommensurate time delays
- Upper and lower bounds of the solutions of the discrete algebraic Riccati and Lyapunov matrix equations
- Trace bounds on the solution of the algebraic matrix Riccati and Lyapunov equation
- A note on eigenvalue bounds in algebraic Riccati equation
- Bounds in algebraic Riccati and Lyapunov equations: a survey and some new results
- Trace bounds on the covariances of continuous-time systems with multiplicative noise
- Robust stability of uncertain time-delay systems
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