Robustness analysis is considered for systems with structured uncertainty involving a combination of linear time-invariant and linear time-varying perturbations, and parametric uncertainty. A necessary and suucient condition for robust stability in terms of the structured singular value is obtained, based on a nite augmentation of the original problem. The augmentation corresponds to considerin...

An improved upper bound on the error probability (first error event) of time-invariant convolutional codes, and the resulting error exponent, is derived in this paper. The improved error bound depends on both the delay of the code and its width (the number of symbols that enter the delay line in parallel) . Determining the error exponent of time-invariant convolutional codes is an open problem....

A time scale is any closed subset of the real line. Continuous time and discrete time are special cases. The unilateral Laplace transform of a signal on a time scale subsumes the continuous-time unilateral Laplace transform, and the discretetime unilateral z-transform as special cases. The regions of convergence (ROCs) time scale Laplace transforms are determined by the time scale’s graininess....

A new method is proposed to check the detectability for a class of rectangular linear time invariant descriptor systems. The method is based on the properties of restricted system equivalent, derived here from a given descriptor system by means of simple matrix theory. Equivalence between the detectability of a given descriptor system and that of a normal system is established. The proposed res...

Despite the severe criticism expressed by some of the reviewers, after studying their comments and the suggested references, we still believe that our results are original, correct, and potentially important for the systems and control community. Detailed answers to the reviewers’ comments with rebuttal and explanation of the corrections/additions in the revised version of the paper are given i...

Robustness analysis is considered for systems with structured uncertainty involving a combination of linear time-invariant and linear time-varying perturbations, and parametric uncertainty. A necessary and sufficient condition for robust stability in terms of the structured singular value p is obtained, based on a finite augmentation of the original problem. The augmentation corresponds to cons...

Cover relations for orbits and bundles of controllability and observability pairs associated with linear time-invariant systems are derived. The cover relations are combinatorial rules acting on integer sequences, each representing a subset of the Jordan and singular Kronecker structures of the corresponding system pencil. By representing these integer sequences as coin piles, the derived strat...

This paper deals with dissipativity of uncontrollable linear time-invariant systems with quadratic supply rates and storage functions. A definition of dissipativity appropriate for this class of systems is given. We present a necessary and sufficient condition for dissipativeness in the single input / single output case.

We have derived the largest class of bounded linear time-invariant operators that preserve positivity of repeated monotone nonlinearities. It reduces conservativeness of IQC stability analysis of systems having repeated monotone nonlinearities to the minimum possible. Utility of this characterization stems from the fact that such nonlinearities are typically encountered in stability of anti-res...