Robust Strictly Positive Real Synthesis for Convex Combination of Sixth-Order Polynomials

Robust Strictly Positive Real Synthesis for Polynomial Families of Arbitrary Order

For any two $n$-$th$ order polynomials $a(s)$ and $b(s),$ the Hurwitz stability of their convex combination is necessary and sufficient for the existence of a polynomial $c(s)$ such that $c(s)/a(s)$ and $c(s)/b(s)$ are both strictly positive real.

Complete Solution to the General Robust Strictly Positive Real Synthesis Problem for Polynomial Segments

For any two n-th order polynomials a(s) and b(s), the Hurwitz stability of their convex combination is necessary and sufficient for the existence of a polynomial c(s) such that c(s)/a(s) and c(s)/b(s) are both strictly positive real.

社交网络上闭环推荐系统的结构化正定最优控制综合

Structured Positive-Definite Optimal Control Synthesis of Closed-Loop Recommendation Systems over Social Networks

本研究将社交网络多主题意见动态的推荐策略设计建模为无限时域线性二次最优控制问题，通过结构化正定控制器综合实现性能与局部性的权衡，并给出数值验证。

Rational observers of rational systems

Rational observers are to be constructed for rational systems while polynomial observers are to be constructed for polynomial systems. An observer synthesis procedure is formulated. First an output-based rational realization is synthesized for the considered rational system. Then a perturbation technique creates an observer. Finite algebraic observability of the rational system impies the existence of a output-based rational realization. Several examples of rational observers are provided including a polynomial system of which the state-space dimension of the polynomial observer is strictly hi…