On the stabilization of bilinear systems via constant feedback

DOI10.1016/0024-3795(89)90662-9zbMath0678.93053OpenAlexW2129568598MaRDI QIDQ1124579

Rob Luesink, Henk Nijmeijer

Publication date: 1989

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

Full work available at URL: https://research.utwente.nl/en/publications/on-the-stabilization-of-bilinear-systems-via-constant-feedback(f625d66c-6ace-4156-b17b-2c1992ae3285).html

zbMATH Keywords

stabilizationeigenvalue problemtriangularizationbilinear system

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10) Asymptotic stability in control theory (93D20) Eigenvalues, singular values, and eigenvectors (15A18) Canonical forms, reductions, classification (15A21)

Related Items (12)

Geometrical and topological methods in optimal control theory ⋮ Asymptotic stabilization of the bilinear time-invariant system via piecewise-constant feedback ⋮ Exponential stability of nondissipative linear system in Banach space and application to unbounded bilinear systems ⋮ On the global uniform stability analysis of non-autonomous dynamical systems: A survey ⋮ Feedback stabilization of nonlinear driftless systems with applications to homogeneous-type systems ⋮ Stability analysis of bilinear systems under aperiodic sampled-data control ⋮ Unnamed Item ⋮ Stabilizability of a class of stochastic bilinear hybrid systems ⋮ Global stabilization of a class of bilinear systems in \(\mathbb R^3\) ⋮ Stabilization of bilinear switching control systems by a mode-dependent average dwell time strategy ⋮ On the stabilization of a class of bilinear systems in 3-space ⋮ A characterization of single-input planar bilinear systems which admit a smooth stabilizer

Cites Work

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• Lyapunov functions and stability of dynamical polysystems
• Stabilizability of Finite- and Infinite-Dimensional Bilinear Systems
• Geometric approach to analysis and synthesis of system zeros Part 2. Non-square systems
• Stabilization of Bilinear Control Systems with Applications to Nonconservative Problems in Elasticity
• System Theory on Group Manifolds and Coset Spaces

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