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Stable polynomial

A polynomial is said to be stable if either: * all its roots lie in the open left half-plane, or * all its roots lie in the open unit disk. The first… 
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Related topics

Related topics

14 relations
BIBO stabilityBistritz stability criterionBézout matrixControl theory

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2012
2012
5 Stability Analysis of Polynomials with Polynomic Uncertainty
When dealing with systems with parameter uncertainty most attention is paid to robustness analysis of linear time-invariant… 
2009
2009
Guaranteed Stability of Polynomials Under Application of a Uniform Nonnegative Polynomial Mapping on Coefficients
This note presents a new result for the guaranteed stability of polynomials under uniform non-negative polynomial mapping on the… 
2006
2006
ROBUST STABILITY OF POLYNOMIALS WITH
The problem is studied of testing for stability a class of real polynomials in which the coefficients depend on a number of… 
2006
2006
Relatively optimal control with characteristic polynomial assignment and output feedback
A relatively optimal control is a stabilizing controller such that, if initialized at its zero state, produces the optimal… 
2004
2004
OPTIMAL FILTERING FOR NONLINEAR SYSTEMS OVER LINEAR OBSERVATIONS WITH TIME DELAY
In this paper, the optimal filtering problem for nonlinear systems over linear observations with time delay is treated proceeding… 
2002
2002
Robust control design using stable polynomial parameterizations
A new parameterization of stable polynomials has recently been shown to facilitate robust control analysis and design. In this… 
2002
2002
Simultaneous Robust Regulation and Robust Stabilization with Degree Constraint
This paper characterizes all controllers to a problem of simultaneous robust regulation and robust stabilization, which was left… 
2002
2002
CONTACT FREE STATIC STABLE EQUILIBRIUM IN THE GROUND AND SPACE SYSTEMS
The work considers applicability of the Earnshaw’s Theorem to superconductive magnetic systems. Differences between static… 
Review
1999
Review
1999
Application of Bernstein Expansion to the Solution of Control Problems
We survey some recent applications of Bernstein expansion to robust stability, viz. checking robust Hurwitz and Schur stability… 
1987
1987
On the Stability of Polynomials with Uncoupled Perturbations in the Coefficients of Even and Odd Powers.