论文标题
K阳性线性系统的可扩展控制设计
Scalable Control Design for K-positive Linear Systems
论文作者
论文摘要
将变量限制为正的系统允许计算有效的控制设计。我们将这些结果推广到使锥体不变的线性系统中。这是比正系统更广泛的系统。我们对正线性系统的稳定性和耗散性进行了经典结果，并显示了如何将线性编程的可扩展条件扩展到锥体不变的线性系统。我们的结果通过可扩展的稳定控制器设计来说明质量弹簧系统。
Systems whose variable are constrained to be positive allow computationally efficient control design. We generalize these results to linear systems which leave a cone invariant. This is a wider class of systems than positive systems. We revisit classical results on stability and dissipativity of positive linear systems and show how scalable conditions on linear programming can be extended to cone invariant linear systems. Our results are illustrated by scalable stabilizing controller design for mass-spring systems.
