A generalization of Vidyasagar's theorem on stabilizability using state detection

DOI10.1016/0167-6911(91)90096-WzbMath0753.93063OpenAlexW1999024813MaRDI QIDQ1175513

John Tsinias

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1016/0167-6911(91)90096-w

zbMATH Keywords

local stabilizability problem

Mathematics Subject Classification ID

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

Related Items (11)

Global stabilization by output feedback: Examples and counterexamples ⋮ On fault-tolerant control configurations for a class of nonlinear systems ⋮ A result on the stabilization of nonlinear systems using state detection ⋮ Discrete-time certainty equivalence output feedback: allowing discontinuous control laws including those from model predictive control ⋮ Global stabilization of a certain class of nonlinear dynamical systems using state detection ⋮ Optimal controllers and output feedback stabilization ⋮ Continuous-discrete observers for global stabilization of nonlinear systems with applications to bioreactors ⋮ Sontag's `input to state stability condition' and global stabilization using state detection ⋮ Stabilization of nonlinear dynamic systems using the system state estimates made by the asymptotic observer ⋮ Dynamic output feedback regulation for a class of nonlinear systems ⋮ Global stabilizability and observability imply semi-global stabilizability by output feedback

Cites Work

• Unnamed Item
• Further results on the observer design problem
• New results and examples in nonlinear feedback stabilization
• A `universal' construction of Artstein's theorem on nonlinear stabilization
• Stabilization with relaxed controls
• On the stabilization of nonlinear systems using state detection
• Decomposition techniques for large-scale systems with nonadditive interactions: Stability and stabilizability
• On the Existence of Control Lyapunov Functions: Generalizations of Vidyasagar’s Theorem on Nonlinear Stabilization
• Output feedback stabilization
• On the inversion of Ljapunov’s second theorem on stability of motion

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