Root counting, phase unwrapping, stability and stabilization of discrete time systems

DOI10.1016/S0024-3795(01)00468-2zbMath0998.93035MaRDI QIDQ1611918

L. H. Keel, Shankar P. Bhattacharyya

Publication date: 28 August 2002

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

stabilitylinear systemsChebyshev polynomialsfeedback stabilizationpolynomialslocation of zerosphase unwrapping

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Discrete-time control/observation systems (93C55) Algebraic methods (93B25) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Real polynomials: location of zeros (26C10)

Related Items (1)

Discrete-time filter proportional-integral-derivative controller design for linear time-invariant systems

Cites Work

• Generalizations of the Hermite-Biehler theorem: The complex case
• Generalizations of the Hermite-Biehler theorem
• Structure and synthesis of PID controllers.
• Algebraic multidimensional phase unwrapping and zero distribution of complex polynomials-characterization of multivariate stable polynomials
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