For a Hurwitz stable matrix A ∈ Rn×n, we calculate the real structured radius of stability for A with a perturbation P = B∆(t)C, where A, B, C, ∆(t) form a patterned quadruple of matrices; i.e., they are polynomials of a common matrix of simple structure M ∈ Rn×n.

Many discrete event systems (DESs) such as manufacturing systems, data base management systems, communication networks, tra c systems, etc., can be modeled as input-output discrete event systems (I/O DESs). In this paper we formulate and study the problem of stable realization of such systems in the logical setting. Given an input and an output language describing the sequences of events that o...

I. MOTIVATION Models of terrestrial legged locomotion are almost invariably hybrid, containing a discontinuity in the equations of motion when feet land on the ground. While some animals are bipedal, the great majority of legged locomotion on land is done with 4, 6 or more legs. Poly-pedal gaits for moderate or high-speed locomotion usually include multiple legs striking the ground that once (o...

We study exponential stability and its robustness for time-varying linear index-1 differentialalgebraic equations. The effect of perturbations in the leading coefficient matrix is investigated. An appropriate class of allowable perturbations is introduced. Robustness of exponential stability with respect to a certain class of perturbations is proved in terms of the Bohl exponent and perturbatio...

A new risk analysis system for estimating the risk factors in tunneling is suggested in consideration of the complex effect in tunnel construction. It is verified that various risk factors can be expressed by stability and environment index using numerical and statistical analysis. Stability index includes the factors of safety of ground condition, the amount of ground settlement, condition of ...

The concept of cluster stability is introduced to assess the validity of data partitionings found by clustering algorithms. It allows us to explicitly quantify the quality of a clustering solution, without being dependent on external information. The principle of maximizing the cluster stability can be interpreted as choosing the most self-consistent data partitioning. We present an empirical e...

This paper gives an overview of recent achievements of the multiwavelet theory. The construction of multiwavelets is based on a multiresolution analysis with higher multiplicity generated by a scaling vector. The basic properties of scaling vectors such as L-stability, approximation order and regularity are studied. Most of the proofs are sketched.

Many discrete event systems (DESs) such as manufacturing systems, database management systems, communication networks, tra c systems, etc., can be modeled as input-output discrete event systems (I/O DESs). In this paper we formulate and study the problem of stable realization of such systems in the logical setting. Given an input and an output language describing the sequences of events that oc...

In this paper, we study the qualitative behaviour of approximation schemes for Backward Stochastic Differential Equations (BSDEs) by introducing a new notion of numerical stability. For the Euler scheme, we provide sufficient conditions in the one-dimensional and multidimensional case to guarantee the numerical stability. We then perform a classical Von Neumann stability analysis in the case of...