Skip to content

Right-most spectrum envelope #26

@LockeErasmus

Description

@LockeErasmus

Implement function for efficient calculation and visualization of right-most spectrum envelope.

Envelope is defined via

$$ \begin{aligned} s \geq c_d \\ s \in \mathcal{Z} \left(h\left(s\right)\right) \end{aligned} \implies |s| \leq \rho(s)\sum\limits_{k=0}^{m_A} \lVert A_k\rVert_2 e^{-\Re(s)\tau_k} $$

where

$$ \rho(s) = \max\limits_{\vec{\theta} \in [0,2\pi]^n}\left\lVert \sum\limits_{i=1}^{m_H} H_i~e^{-\Re(s)\tau_i}~e^{j\theta_i} \right\lVert_2^{-1} $$

for neutral system, for retarded $c_d = -\infty$ and $\rho(s)=1$

Re-use gridding functions for theta.

Metadata

Metadata

Assignees

Labels

enhancementNew feature or request

Projects

No projects

Milestone

No milestone

Relationships

None yet

Development

No branches or pull requests

Issue actions