Observability functions for linear and nonlinear systems.

DOI10.1016/S0167-6911(99)00051-1zbMath1043.93510MaRDI QIDQ1606513

W. Steven Gray, Joseph P. Mesko

Publication date: 24 July 2002

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

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Observability (93B07)

Related Items (8)

Energy functions for dissipativity-based balancing of discrete-time nonlinear systems ⋮ Data-driven model reduction by moment matching for linear and nonlinear systems ⋮ Model reduction of controlled Fokker-Planck and Liouville-von Neumann equations ⋮ Dynamic generalized controllability and observability functions with applications to model reduction and sensor deployment ⋮ Nonlinear Cross Gramians ⋮ Performance bounds for nonlinear systems with a nonlinear ℒ₂-gain property ⋮ Nonlinear systems – algebraic gramians and model reduction ⋮ A Kalman decomposition for robustly unobservable uncertain linear systems

Cites Work

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• Balancing for nonlinear systems
• Minimality and local state decompositions of a nonlinear state space realization using energy functions
• Single-input observability of continuous-time systems
• Principal component analysis in linear systems: Controllability, observability, and model reduction
• L/sub 2/-gain analysis of nonlinear systems and nonlinear state-feedback H/sub infinity / control
• H∞ balancing for nonlinear systems
• LQG balancing and reduced LQG compensation of symmetric passive systems†

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