Rejoinder: Invariance, Causality and Robustness

Round 3: Regarding Objectivity and Causality – A Rejoinder to Fishman and Miller

In this rejoinder I respond separately to Daniel Fishman’s and Ronald B. Miller’s respective arguments regarding my views about objectivity and causality, owing to the fact that Fishman finds a place for “objectivity” and “causality” within his theoretical model whereas Miller does not. First, I question the basis for Fishman’s conclusion that coherence and pragmatic models are objectivist acco...

Quantifying the Invariance and Robustness of Permutation-Based Indexing Schemes

Providing a fast and accurate (exact or approximate) access to large-scale multidimensional data is a ubiquitous problem and dates back to the early days of large-scale Information Systems. Similarity search, requiring to resolve nearest neighbor (NN) searches, is a fundamental tool for structuring information space. Permutation-based Indexing (PBI) is a reference-based indexing scheme that acc...

Rejoinder

We thank the editor Professor David Steinberg for organizing this stimulating discussion. We are also grateful to all the discussants for their constructive comments about the method proposed in our paper (denoted as QZW hereafter). Profile monitoring is a relatively new research area; but, it has a profound application background (cf., Wang and Tsung 2005, Woodall et al. 2004). Due to the fact...

Robustness of Positive Invariance Property for Continuous-time Systems

Two majors issues in the design of control systems are the direct integration in the control law of technological/safety constraints and the performance robustness of the closed-loop system with respect to parametric perturbations. In the last years, many authors have been treated the problem of constraints sat isfaction for controlled linear systems through the use of the positive invariance p...

Rejoinder