Global stabilization of a certain class of nonlinear dynamical systems using state detection

DOI10.1016/S0893-9659(01)00065-9zbMath0984.93066WikidataQ126838475 ScholiaQ126838475MaRDI QIDQ5950665

Mohamed Ali Hammami

Publication date: 2 January 2002

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

zbMATH Keywords

stabilizationfeedback controlnonlinear state detectorquadratic Lyapunov function

Mathematics Subject Classification ID

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

Related Items (3)

State feedback control law for a class of nonlinear time-varying system under unknown time-varying delay ⋮ An observer design for Takagi-Sugeno fuzzy bilinear control systems ⋮ Global stabilization of linear time-varying delay systems with bounded controls

Cites Work

• On characterizations of the input-to-state stability property
• A class of globally stabilizing controllers for nonlinear systems
• A universal formula for stabilization with bounded controls
• On the input-to-state stability property
• A generalization of Vidyasagar's theorem on stabilizability using state detection
• Output-to-state stability and detectability of nonlinear systems
• Sontag's `input to state stability condition' and global stabilization using state detection
• A `universal' construction of Artstein's theorem on nonlinear stabilization
• Small-gain theorem for ISS systems and applications
• The ISS philosophy as a unifying framework for stability-like behavior
• Stabilization with relaxed controls
• Further facts about input to state stabilization
• On the stabilization of nonlinear systems using state detection
• Smooth stabilization implies coprime factorization
• A global stabilization theorem for planar nonlinear systems

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