Stability robustness for linear state space models -- a Lyapunov mapping approach

DOI10.1016/S0167-6911(96)00068-0zbMath0877.93087MaRDI QIDQ673272

Tatsushi Ooba, Yasuyuki Funahashi

Publication date: 28 February 1997

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

zbMATH Keywords

Lyapunov stabilityLinear systemscommon Lyapunov solutionLyapunov mappingsPositive matrices

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Robust stability (93D09)

Related Items

On a conjecture about the norm of Lyapunov mappings, On the generalized Sylvester mapping and matrix equations, Stabilization of switched linear systems with mode-dependent time-varying delays, Necessary and sufficient conditions for stabilization of discrete-time planar switched systems, Stabilization of planar switched systems, Stabilization of planar discrete-time switched systems: switched Lyapunov functional approach, On the simultaneous diagonal stability of linear discrete-time systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• New bound on the sensitivity of the solution of the Lyapunov equation
• More on linear inequalities with applications to matrix theory
• Robust stability of state-space models with structured uncertainties
• The Sensitivity of the Stable Lyapunov Equation
• Linear Matrix Inequalities in System and Control Theory
• Stability robustness bounds for linear state-space models with structured uncertainty
• Stabilization of Uncertain Systems with Norm Bounded Uncertainty—A Control Lyapunov Function Approach