On computing the stabilizing solution of the discrete-time Riccati equation
From MaRDI portal
Publication:1195348
DOI10.1016/0024-3795(92)90053-DzbMath0756.15020MaRDI QIDQ1195348
Publication date: 26 October 1992
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Discrete-time control/observation systems (93C55) Adaptive or robust stabilization (93D21) Matrix equations and identities (15A24) Matrix pencils (15A22)
Related Items (23)
Robustness analysis of uncertain discrete‐time systems with dissipation inequalities and integral quadratic constraints ⋮ Identification of ARX systems with non-stationary inputs -- asymptotic analysis with application to adaptive input design ⋮ Generalized continuous-time Riccati theory ⋮ Relationships between discrete-time and continuous-time algebraic Riccati inequalities ⋮ A step toward a unified treatment of continuous and discrete time control problems ⋮ The discrete algebraic Riccati equation and linear matrix inequality ⋮ The dual algebraic Riccati equations and the set of all solutions of the discrete-time Riccati equation ⋮ Hermitian solutions of the discrete-time algebraic Riccati equation ⋮ Verified computation for the Hermitian positive definite solution of the conjugate discrete-time algebraic Riccati equation ⋮ Time-varying discrete Hamiltonian systems ⋮ The class of suboptimal and optimal solutions to the discrete Nehari problem: characterization and computation ⋮ Fast verified computation for stabilizing solutions of discrete-time algebraic Riccati equations ⋮ Nonrecursive solution for the discrete algebraic Riccati equation and \(X + \mathcal A^\ast X^{-1}\mathcal A=L\) ⋮ Singular \(\mathcal {H}_2\)-optimization problems for discrete-time systems ⋮ Existence of unmixed solutions of the discrete-time algebraic Riccati equation and a nonstrictly bounded real lemma ⋮ An oracle for the discrete-time integral quadratic constraint problem ⋮ An efficient algorithm for discrete-time \(\mathcal H_\infty\) preview control ⋮ Stabilizing solution to the reverse discrete-time Riccati equation: A matrix-pencil-based approach ⋮ Solving the infinite-dimensional discrete-time algebraic Riccati equation using the extended symplectic pencil ⋮ ℋ∞output feedback control for linear discrete time-varying systems via the bounded real lemma ⋮ Sensitivity analysis of the discrete-time algebraic Riccati equation ⋮ Time-varying discrete Riccati equation in terms of Ben Artzi-Gohberg dichotomy ⋮ Continuous and discrete-time Riccati theory: A Popov-function approach
Uses Software
Cites Work
- A Schur method for solving algebraic Riccati equations
- On the numerical solution of the discrete-time algebraic Riccati equation
- A Generalized Eigenvalue Approach for Solving Riccati Equations
- Comments on "On the numerical solution of the discrete-time algebraic Riccati equation"
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: On computing the stabilizing solution of the discrete-time Riccati equation