Conditions for the Schur stability of segments of polynomials of the same degree

DOI10.1007/s40590-015-0054-xzbMath1327.93201OpenAlexW2053739530MaRDI QIDQ496864

Horacio Leyva, Baltazar Aguirre-Hernández, Ricardo García-Sosa, Francisco A. Carrillo, Julio E. Solís Daun

Publication date: 22 September 2015

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40590-015-0054-x

zbMATH Keywords

stabilitySchur stabilityroots of polynomialsSchur polynomialssegments of Schur polynomials

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20) Robust stability (93D09)

Related Items (4)

Robust stability in discrete control systems via linear controllers with single and delayed time ⋮ Infinite polytopes in Hurwitz stability region ⋮ Geometry and dynamics of the Schur-Cohn stability algorithm for one variable polynomials ⋮ Robust stability and performance analysis of 2D mixed continuous-discrete-time systems with uncertainty

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The boundary crossing theorem and the maximal stability interval
• Robust stabilization of interval plants using lead or lag compensators
• Hurwitz testing sets for parallel potytopes of polynomials
• Robust pole assignment via reflection coefficients of polynomials
• On the complete instability of interval polynomials
• Stabilization of linear sampled-data systems by a time-delay feedback control
• Smooth trivial vector bundle structure of the space of Hurwitz polynomials
• A necessary and sufficient condition for the stability of convex combinations of stable polynomials or matrices
• Root locations of an entire polytope of polynomials: It suffices to check the edges
• On convex directions for stable polynomials
• On Kharitonov's theorem without invariant degree assumption.
• Sufficient algebraic conditions for stability of cones of polynomials
• Bibliography on robust control
• Stability of polynomials with conic uncertainty
• Polynomials in control theory parametrized by their roots
• Necessary conditions for Hadamard factorizations of Hurwitz polynomials
• Algebraic test for the Hurwitz stability of a given segment of polynomials
• Necessary and sufficient conditions for root clustering of a polytope of polynomials in a simply connected domain
• A class of stability regions for which a Kharitonov-like theorem holds
• A dual result to Kharitonov's theorem
• Necessary and sufficient conditions for robust stability of a continuous system-the continuous dependency case illustrated via multilinear dependency
• Robust Schur stability of a polytope of polynomials
• An alternative proof of Kharitonov's theorem
• A class of weak Kharitonov regions for robust stability of linear uncertain systems
• Stability conditions for polytopes of polynomials
• Computation of the minimum destabilizing volume for interval and affine families of polynomials
• The Kharitonov theorem with degree drop
• Tests for Hurwitz and Schur properties of convex combination of complex polynomials
• New stability conditions via reflection coefficients of polynomials

This page was built for publication: Conditions for the Schur stability of segments of polynomials of the same degree