A necessary and sufficient condition for Schur invariance and generalized stability of polytopes of polynomials
From MaRDI portal
Publication:3787889
DOI10.1109/9.1256zbMath0644.93054OpenAlexW2080915321MaRDI QIDQ3787889
Andrew C. Bartlett, Christopher V. Hollot
Publication date: 1988
Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1109/9.1256
necessary and sufficient conditionFinite algorithmsgeneralized stability regionsPolytopes of (characteristic) polynomialsstrict Schur invariance
Transformations (93B17) Interval and finite arithmetic (65G30) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Stability of control systems (93D99)
Related Items
Damping margin of continuous-time systems with polytope uncertainties ⋮ Robust stability of nested polynomial families ⋮ Generalized edge theorem ⋮ Parametric uncertainty and unmodeled dynamics: Analysis via parameter space methods ⋮ Robust finite settling time stabilization of discrete time system with structured uncertainty ⋮ Robust stability of continuous-time difference systems ⋮ Robust stability of characteristic polynomials with monotonicity ⋮ Bibliography on robust control ⋮ Necessary and sufficient conditions for robust stability of discrete systems with coefficients depending continuously on two interval parameters ⋮ Robust stability of perturbed systems with time delays ⋮ Convergence condition for convex combinations of two polynomials ⋮ Characterization of robust root loci of polytopes of polynomials