The boundary crossing theorem and the maximal stability interval

DOI10.1155/2011/123403zbMath1225.93089OpenAlexW2052017122WikidataQ58692317 ScholiaQ58692317MaRDI QIDQ541430

Baltazar Aguirre-Hernández, Jorge-Antonio López-Rentería, Fernando Verduzco

Publication date: 7 June 2011

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/226368

zbMATH Keywords

zero exclusion principleboundary crossing theoremmaximal stability intervalstability of family of polynomials

Mathematics Subject Classification ID

Robust stability (93D09) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (16)

On the delay interval in which the control delay systems are stabilizable ⋮ A new guardian map and boundary theorems applied to the stabilization of initialized fractional control systems ⋮ Stable polynomial curves and some properties with application in control ⋮ A panoramic sketch about the robust stability of time-delay systems and its applications ⋮ Stabilization by a relay control using non-quadratic Lyapunov functions ⋮ Robust stability in discrete control systems via linear controllers with single and delayed time ⋮ Chaotic sliding mode controllers for uncertain time-delay chaotic systems with input nonlinearity ⋮ Conditions for the Schur stability of segments of polynomials of the same degree ⋮ Maximal unstable dissipative interval to preserve multi-scroll attractors via multi-saturated functions ⋮ Stability and multiscroll attractors of control systems via the abscissa ⋮ Robust stability by path-connectivity of fractional order polynomials ⋮ Infinite polytopes in Hurwitz stability region ⋮ A polynomial approach for generating a monoparametric family of chaotic attractors via switched linear systems ⋮ Control of the Hopf Bifurcation by a Linear Feedback Control ⋮ An equivalent condition for stability analysis of LTI systems with bounded time-invariant delay ⋮ A non-conservative state feedback control methodology for linear systems with state delay

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• Sufficient algebraic conditions for stability of cones of polynomials
• Bibliography on robust control
• Stability of polynomials with conic uncertainty
• Algebraic test for the Hurwitz stability of a given segment of polynomials
• Mathematical Systems Theory I
• An alternative proof of Kharitonov's theorem

This page was built for publication: The boundary crossing theorem and the maximal stability interval