Solution bounds for the discrete Riccati equation and its applications

DOI10.1023/A:1021730512293zbMath0939.93023OpenAlexW125612427MaRDI QIDQ1275714

K. Appert

Publication date: 13 January 1999

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1021730512293

zbMATH Keywords

eigenvalue boundsdiscrete algebraic Riccati equationdiscrete-time system with delay

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Discrete-time control/observation systems (93C55) Eigenvalue problems (93B60)

Related Items (2)

New upper and lower bounds, the iteration algorithm for the solution of the discrete algebraic Riccati equation ⋮ New upper solution bounds of the discrete algebraic Riccati matrix equation

Cites Work

• Unnamed Item
• Extreme properties of eigenvalues of a hermitian transformation and singular values of the sum and product of linear transformations
• Decentralized optimization for distributed-lag models of discrete systems
• A note on the discrete Lyapunov and Riccati matrix equations
• Comments on ‘A note on the discrete Lyapunov and Riccati matrix equations’
• 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 Riccati equation
• A lower bound for the solution of the algebraic Riccati equation of optimal control and a geometric convergence rate for the Kleinman algorithm
• Lower summation bounds for the discrete Riccati and Lyapunov equations
• Upper bounds for the solution of the discrete Riccati equation
• Modelling and hierarchical optimization for oversaturated urban road traffic networks
• A Discrete Dynamic Model with Distributed Transport Delays and Its Hierarchical Optimization for Preserving Stream Quality
• A note on the algebraic matrix Riccati equation
• On norm bounds for algebraic Riccati and Lyapunov equations
• A new lower bound on the cost of optimal regulators
• Upper and lower bounds on the solution of the algebraic Riccati equation
• Iterative matrix bounds and computational solutions to the discrete algebraic Riccati equation
• Lower bounds for the trace of the solution of the discrete algebraic Riccati equation

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