Ellipsoidal set-theoretic approach for stability of linear state-space models with interval uncertainty

DOI10.1016/S0378-4754(01)00283-XzbMath0985.65077OpenAlexW1978954726MaRDI QIDQ5944020

Zhi-Ping Qiu, Peter C. Müller, Andreas Frommer

Publication date: 8 May 2002

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-4754(01)00283-x

zbMATH Keywords

linear systemsrobust stabilitynumerical examplestime domain analysisellipsoidal set-theory approachinterval uncertainty

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Numerical optimization and variational techniques (65K10) Linear systems in control theory (93C05) Robust stability (93D09)

Related Items (3)

Probabilistic interval reliability of structural systems ⋮ An ellipsoidal Newton's iteration method of nonlinear structural systems with uncertain-but-bounded parameters ⋮ A note on the stability of fractional order systems

Cites Work

• Parameter estimation algorithms for a set-membership description of uncertainty
• Design of robust linear state feedback laws: Ellipsoidal set-theoretic approach
• Functional equations in the theory of dynamic programming. XV: Layered functionals and partial differential equations
• Improved measures of stability robustness for linear state space models
• Reduced conservatism in stability robustness bounds by state transformation
• A lagrange approach to set-theoretic control synthesis
• Robustness of stability conditions for linear time-invariant feedback systems
• Robustness of linear quadratic state feedback designs in the presence of system uncertainty
• Stability robustness bounds for linear state-space models with structured uncertainty
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