The notion of \(V\)-detectability and stabilization of invariant sets of nonlinear systems

DOI10.1016/S0167-6911(99)00112-7zbMath0948.93047WikidataQ128090283 ScholiaQ128090283MaRDI QIDQ1978755

Shiriaev, Anton S.

Publication date: 4 June 2000

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

zbMATH Keywords

nonlinear systemsdetectabilitystorage functioninvariant set stabilizabilitypassive nonlinear systemswinging of a pendulum

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15)

Related Items (13)

Adaptive input-to-output stabilization of nonlinear systems ⋮ Tracking control of second-order chained form systems by cascaded backstepping ⋮ Constrained model predictive manifold stabilization based on transverse normal forms ⋮ Unnamed Item ⋮ Stabilization of invariant sets for nonlinear systems with applications to control of oscillations ⋮ Case studies on passivity-based stabilisation of closed sets ⋮ Exciting multi-DOF systems by feedback resonance ⋮ Stabilization of invariant sets for nonlinear non-affine systems ⋮ Partial stability and control: the state-of-the-art and future trends ⋮ VSS-version of energy-based control for swinging up a pendulum ⋮ Partial stabilization of underactuated Euler-Lagrange systems via a class of feedback transformations ⋮ Dissipativity and feedback dissipativity properties of general nonlinear discrete-time systems ⋮ On partial detectability of the nonlinear dynamic systems

Cites Work

• Control of oscillations of a nonlinear system in the sense of a nonnegative functional
• Constructive nonlinear control
• Dissipative dynamical systems. I: General theory
• Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear systems
• The stability of nonlinear dissipative systems
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