Conic stability of polynomials

Stability of polynomials with conic uncertainty

In this paper, we describe a conic approach to the stability theory of uncertain polynomials. We present necessary and sufficient conditions for a conic set p0 + K of polynomials to be Hurwitz stable (K is a convex cone of polynomials of degree ≤ n and deg p0 = n). As analytical tools we derive an edge theorem and Rantzer type conditions for marginal stability (semi-stability). The results are ...

On the Stability Radius of Matrix Polynomials

The stability radius of a matrix polynomial P (λ) relative to an open region Ω of the complex plane and its relation to the numerical range of P (λ) are investigated. Using an expression of the stability radius in terms of λ on the boundary of Ω and ‖P (λ)−1‖2, a lower bound is obtained. This bound for the stability radius involves the distances of Ω to the connected components of the numerical...

Analyzing the Stability Robustness of Interval Polynomials

On Robust Stability of Complex Polynomials

Complex polynomial family with coeÆcients dependent aÆnely on a complex uncertain parameter is considered in this paper. New test for robust Hurwitz stability of a line segment is proposed. Simple numerical routine is presented for computation of a stability region in the complex parameter plane. The relationship between the H1 norm of a stable rational function and a stability bound on the com...

Robust Stability of Polynomials with Multilinear

The problem is studied of testing for stability a class of real polynomials in which the coefficients depend on a number of variable parameters in a multilinear way. We show that the testing for real unstable roo& can be achieved by examining the stability of a finite number of comer polynomials (obtained by setting parameters at their extreme values), while checking for unstable complex'rwts n...