Polytopes of Lyapunov functions for polytopes of polynomials

DOI10.1016/0167-6911(94)00078-AzbMath0877.93122MaRDI QIDQ673056

Hideki Kokame, Takehiro Mori

Publication date: 28 February 1997

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

zbMATH Keywords

Stabilitystructured uncertaintiesParameter-dependent Lyapunov functionPolytope of Lyapunov functionsPolytope of polynomialsQuadratic Lyapunov function

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Robust stability (93D09)

Related Items

Lyapunov-based exact stability analysis and synthesis for linear single-parameter dependent systems

Cites Work

• Root locations of an entire polytope of polynomials: It suffices to check the edges
• Kharitonov's theorem and the second method of Lyapunov
• Convex combinations of stable polynomials
• Unnamed Item