Asymptotic stabilization of the bilinear time-invariant system via piecewise-constant feedback

DOI10.1016/S0167-6911(97)00094-7zbMath0902.93058MaRDI QIDQ1128518

Ronald R. Mohler, Alexander Y. Khapalov

Publication date: 13 August 1998

Published in: Systems \& Control Letters (Search for Journal in Brave)

zbMATH Keywords

asymptotic stabilizationbilinear systemspiecewise-constant feedback

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10)

Related Items (10)

Controller design for stabilizing bilinear systems with state-based switching ⋮ Exponential stability of nondissipative linear system in Banach space and application to unbounded bilinear systems ⋮ Strong and weak-star stabilisation of bilinear systems on nonreflexive Banach spaces ⋮ Global stabilization of semilinear systems using switching controls ⋮ Stabilization by means of state space depending switching rules ⋮ Unconstrained and constrained stabilisation of bilinear discrete-time systems using polyhedral Lyapunov functions ⋮ Feedback stabilization of discrete-time homogeneous semi-linear systems ⋮ Bilinear control and application to flexible a. c. transmission systems ⋮ Partial stabilisation of semilinear systems using bounded controls ⋮ Global feedback stabilization of multi-input bilinear systems

Cites Work

• Unnamed Item
• Unnamed Item
• On the stabilization of bilinear systems via constant feedback
• Stabilization of bilinear systems by quadratic feedback controls
• Bilinear control and application to flexible a. c. transmission systems
• Stability improvement of nonlinear systems by feedback
• Stabilizability of second-order bilinear systems
• Stabilizing controllers for bilinear systems
• Stable feedback control of bilinear systems
• Reachable sets and controllability of bilinear time-invariant systems: a qualitative approach

This page was built for publication: Asymptotic stabilization of the bilinear time-invariant system via piecewise-constant feedback