Sontag's `input to state stability condition' and global stabilization using state detection

DOI10.1016/0167-6911(93)90063-CzbMath0768.93063OpenAlexW2071740464MaRDI QIDQ1803848

John Tsinias

Publication date: 29 June 1993

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

Full work available at URL: https://doi.org/10.1016/0167-6911(93)90063-c

zbMATH Keywords

global stabilizationdetectability

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (15)

Comments on integral variants of ISS ⋮ Output-to-state stability and detectability of nonlinear systems ⋮ Stability analysis for switched stochastic delayed systems under asynchronous switching: A relaxed switching signal ⋮ On characterizations of the input-to-state stability property ⋮ A class of globally stabilizing controllers for nonlinear systems ⋮ Time-varying observers for a class of nonlinear systems ⋮ Robust adaptive fuzzy tracking control for a class of perturbed strict-feedback nonlinear systems via small-gain approach ⋮ Direct robust adaptive fuzzy control (DRAFC) for uncertain nonlinear systems using small gain theorem ⋮ Nonlinear observers: A circle criterion design and robustness analysis ⋮ Global stabilization of a certain class of nonlinear dynamical systems using state detection ⋮ On persistently exciting observers and a non-linear separation principle: Application to the stabilization of a generator ⋮ New criteria of input-to-state stability for nonlinear switched stochastic delayed systems with asynchronous switching ⋮ On the input-to-state stability property ⋮ Small-gain theorem for ISS systems and applications ⋮ Stabilization of nonlinear dynamic systems using the system state estimates made by the asymptotic observer

Cites Work

• Further results on the observer design problem
• Global stabilizability of homogeneous vector fields of odd degree
• A generalization of Vidyasagar's theorem on stabilizability using state detection
• Observer design for nonlinear systems
• Versions of Sontag’s “Input to State Stability Condition” and the Global Stabilizability Problem
• Further facts about input to state stabilization
• On the stabilization of nonlinear systems using state detection
• On the Existence of Control Lyapunov Functions: Generalizations of Vidyasagar’s Theorem on Nonlinear Stabilization
• Smooth stabilization implies coprime factorization
• Unnamed Item

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