Whole-Genome-Based Phylogeny and Taxonomy for Prokaryotes

A faithful prokaryotic phylogeny should be inferred from genomic data and phylogeny determines taxonomy. The ever-growing amount of sequenced genomes makes this approach feasible and practical. Whole-genome phylogeny must be based on alignment-free methodology and should be verified by direct comparison with taxonomy at all ranks from domains down to species. When the number of genomes goes into tens of thousands, the realization of the above program also presents technical challenges. The power of a long-tested Web Server named Composition Vector Tree (CVTree) will be demonstrated on examples from mega-classification of bacteria to high resolution at and below the species level

Balanced realizations of symmetric composite systems

In this paper, we investigate the structural properties of balanced realizations, and their truncation, of a class of systems with symmetric interconnected and identical structure. It is established that the balanced realizations of such symmetric composite systems can be constructed via the balanced realizations of two auxiliary systems of comparatively low dimensions. The corresponding truncated realizations, which have a certain symmetric structure, are explicitly constructed.published_or_final_versio

Reliable controller design for nonlinear systems

This paper addresses the reliable H∞ control problems for affine nonlinear systems. Based on the Hamilton-Jacobi inequality approach developed in the H∞ control problems for affine nonlinear systems, a method for the design of reliable nonlinear control systems is presented. The resulting nonlinear control systems are reliable in that they provide guaranteed local asymptotic stability and H∞ performance not only when all control components are operational, but also in case of some component outages within a prespecified subset of control components.published_or_final_versio

Robust control of uncertain nonlinear systems

This paper considers robust H∞ control problems via state feedback and measurement feedback for a class of affine nonlinear systems with gain bounded uncertainties, and the solutions of the problems are derived in terms of smooth solutions of Hamilton-Jacobi inequalities. It is also shown that the results are extensions of the corresponding results for linear systems.published_or_final_versio