Stability of Interval Polynomials with Vanishing Extreme Coefficients

Stability of Polynomials with Time-Variant Coefficients

The problem of global asymptotic stability of a time-variant mth-order difference equation is addressed. Stable regions in the parameter space will be derived for two cases: the case of a time-invariant parameter region, and the case of a time-variant parameter region. These results find applications in the area of adaptive digital filters.

Hyers–ulam Stability of Linear Differential Equations with Vanishing Coefficients

We establish the Hyers-Ulam stability of certain first-order linear differential equations where the coefficients are allowed to vanish. We then extend these results to higher-order linear differential equations with vanishing coefficients that can be written with these first-order factors. AMS (MOS) Subject Classification. 34A30, 34A05, 34D20.

Analyzing the Stability Robustness of Interval Polynomials

Robust Schur Stability of Interval Polynomials

In this note, different methods for the investigation of Schur stability of interval polynomials are considered and compared lo each other.

Polynomials with Nonnegative Coefficients

The authors verify the conjecture that a conjugate pair of zeros can be factored from a polynomial with nonnegative coefficients so that the resulting polynomial still has nonnegative coefficients. The conjecture was originally posed by A. Rigler, S. Trimble, and R. Varga arising out of their work on the Beauzamy-Enflo generalization of Jensen's inequality. The conjecture was also made independ...