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Algebraic Riccati Equations and the Distance to the Nearest Uncontrollable Pair

https://doi.org/10.1137/0330042
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bfb0031061openalex-snapshot
The distance between a system and the set of uncontrollable systems
inferredcites →https://doi.org/10.1016/0167-6911(87)90042-9openalex-snapshot
Computing rank-deficiency of rectangular matrix pencils
inferredcites →https://doi.org/10.1016/s0167-6911(84)80035-3openalex-snapshot
Between controllable and uncontrollable
inferredcites →https://doi.org/10.1090/conm/047/828319openalex-snapshot
How near is a stable matrix to an unstable matrix?
inferredcites →https://doi.org/10.1109/9.62266openalex-snapshot
Computing the distance to an uncontrollable system
inferredcites →https://doi.org/10.1109/tac.1972.1099983openalex-snapshot
A contribution to matrix quadratic equations
inferredcites →https://doi.org/10.1109/tac.1981.1102563openalex-snapshot
Properties of numerical algorithms related to computing controllability
inferredcites →https://doi.org/10.1109/tac.1986.1104240openalex-snapshot
Measuring how far a controllable system is from an uncontrollable one
inferredcites →https://doi.org/10.1109/tac.1986.1104355openalex-snapshot
A miscellany of results of an equation of Count J. F. Riccati
inferredcites →https://doi.org/10.1137/0326018openalex-snapshot
The Sensitivity of the Stable Lyapunov Equation
inferredcites →https://doi.org/10.1137/0328003openalex-snapshot
The Sensitivity of the Algebraic and Differential Riccati Equations
inferredcites →https://doi.org/10.1137/0909059openalex-snapshot
A Bisection Method for Measuring the Distance of a Stable Matrix to the Unstable Matrices
inferredcites →https://doi.org/10.1137/0911052openalex-snapshot
Accurate Singular Values of Bidiagonal Matrices

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Control System Radii and Robustness Under Approximation
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Invariant Subspace Methods for the Numerical Solution of Riccati Equations
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On the distance to uncontrollability and the distance to instability and their relation to some condition numbers in control
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Application of the concept of the distance to an uncontrollable pair to the placement of controllers in power systems
inferred← citeshttps://doi.org/10.1016/0167-6911(95)00023-3openalex-snapshot
Estimating the distance to uncontrollability: A fast method and a slow one
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The feedback search algorithm: Estimating the distance of semi-explicit systems to R -uncontrollability
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The structured distance to non-surjectivity and its application to calculating the controllability radius of descriptor systems
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Decay rate estimations for linear quadratic optimal regulators
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On the structured distance to uncontrollability
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The structured distance to uncontrollability under multi-perturbations: An approach using multi-valued linear operators
inferred← citeshttps://doi.org/10.1016/s0024-3795(99)00162-7openalex-snapshot
Nearest pair with more nonconstant invariant factors and pseudospectrum
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Computation of Proper and Reduced Order Controllers Via H ∞ Techniques
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The structured controllability radius of linear delay systems
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Two-dimensional measures of reachability for linear time-invariant systems
inferred← citeshttps://doi.org/10.1109/acc.2001.946404openalex-snapshot
A real radius measure for controllability
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On-Off Adversarially Robust Q-Learning
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A Characterization of the Distance Between Controllable and Uncontrollable LTI Systems
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Real Controllability/Stabilizability Radius of LTI Systems
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Computation of the Real Controllability Radius and Minimum-Norm Perturbations of Higher-Order, Descriptor, and Time-Delay LTI Systems
inferred← citeshttps://doi.org/10.1137/050628258openalex-snapshot
On a Generalized Eigenvalue Problem for Nonsquare Pencils
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Controllability Radii of Linear Systems with Constrained Controls Under Structured Perturbations
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The Multishift QR Algorithm. Part II: Aggressive Early Deflation
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Balancing and Attitude Control of Double and Triple Inverted Pendulums
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A Global Approach to Design Control Laws for Applications in the Car Industry
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