Comments on the feedback stabilization for bilinear control systems

DOI10.1016/S0893-9659(03)90006-1zbMath1068.93051MaRDI QIDQ1431826

Hamid Bounit

Publication date: 11 June 2004

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

Infinite-dimensional systemsCanonical decompositionBounded feedback stabilizationSemigroups of contractions

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) One-parameter semigroups and linear evolution equations (47D06) Applications of operator theory in systems, signals, circuits, and control theory (47N70) Linear differential equations in abstract spaces (34G10)

Related Items (5)

Partial stabilisation of non-homogeneous bilinear systems ⋮ Feedback stabilization for a bilinear control system under weak observability inequalities ⋮ Feedback stabilization of non‐homogeneous bilinear systems with a finite time delay ⋮ Further results for robust stability of homogeneous large-scale bilinear systems with time delays and uncertainties ⋮ Global feedback stabilization of multi-input bilinear systems

Cites Work

• Unnamed Item
• Feedback stabilization of a linear control system in Hilbert space with an a priori bounded control
• A class of semi-linear equations of evolution
• On the asymptotic behavior of generalized processes, with applications to nonlinear evolution equations
• Feedback stabilization of distributed semilinear control systems
• An application of maximal dissipative sets in control theory
• Remarks on the feedback stabilization of system affine in control
• Powers of a contraction in Hilbert space
• Asymptotic behavior of nonlinear contraction semigroups
• Bounded feedback stabilization and global separation principle of distributed parameter systems
• Shorter Notes: Strongly Continuous Semigroups, Weak Solutions, and the Variation of Constants Formula
• Stabilization of Bilinear Control Systems with Applications to Nonconservative Problems in Elasticity
• Feedback stabilization for a class of distributed semilinear control systems
• One-Parameter Semigroups for Linear Evolution Equations

This page was built for publication: Comments on the feedback stabilization for bilinear control systems