Feedback stabilization of a second-order system: A nonmodal approach

DOI10.1016/0024-3795(93)90467-3zbMath0778.65047OpenAlexW2090532829MaRDI QIDQ1260786

Fernando Rincón, Biswa Nath Datta

Publication date: 25 August 1993

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(93)90467-3

zbMATH Keywords

feedback stabilizationeigenvalueseigenvectorsstiffness matrixstability indextime-invariantlinear time-invariant systemnonmodal algorithmssecond-order linear system

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Stabilization of systems by feedback (93D15) Model systems in control theory (93C99)

Related Items (12)

Complete parametric approach for eigenstructure assignment in a class of second-order linear systems ⋮ Robust eigenvalue assignment in second-order systems: a gradient flow approach ⋮ Steepest descent with momentum for quadratic functions is a version of the conjugate gradient method ⋮ Parametric control systems design with applications in missile control ⋮ Eigenstructure assignment in a class of second-order dynamic systems ⋮ Novel versions of \(D\)-stability in matrices provide new insights into ODE dynamics ⋮ Stability and inertia ⋮ Numerically robust pole assignment for second-order systems ⋮ Parametric control to a type of quasi-linear second-order systems via output feedback ⋮ A note on the controllability of higher-order linear systems. ⋮ Feedback stabilization of a second-order system: A nonmodal approach ⋮ Linear and numerical linear algebra in control theory: Some research problems

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