3 papers
math.OC2002
Robust Strictly Positive Real Synthesis for Convex Combination of Sixth-Order Polynomials
Long Wang
For the two sixth-order polynomials and Hurwitz stability of their convex combination is necessary and sufficient for the existence of a polynomial such that…
math.OC2002
Geometric Characterization of Strictly Positive Real Regions and its Applications
Long Wang, Wensheng Yu
Strict positive realness (SPR) is an important concept in absolute stability theory, adaptive control, system identification, etc. This paper characterizes the strictly positive re…
math-ph2002
On the Number of Positive Solutions to a Class of Integral Equations
Long Wang, Wensheng Yu, Lin Zhang
By using the complete discrimination system for polynomials, we study the number of positive solutions in {\small } to the integral equation {\small $ϕ(x)=\int_0^1k(x,y)ϕ^n…