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.

This paper presents the basic concepts of stability in fuzzy linguistic models. Theauthors have proposed a criterion for BIBO stability analysis of fuzzy linguistic modelsassociated to linear time invariant systems [25]-[28]. This paper presents the basic concepts ofstability in the general nonlinear and linear systems. This stability analysis method is verifiedusing a benchmark system analysis.

In this paper, we consider Lur’e type differential-algebraic systems (LDS) and introduce the concept of strongly absolute stability. Such a notion is a generalization of absolute stability for Lur’e type standard state-space systems (LSS). By a Lur’e type Lyapunov function, we derive an LMI based stability criterion for LDS to be strongly absolutely stable. Using extended strictly positive real...

To the present time, stability criteria have been proposed for one-dimensional digital filters with external interference, but no stability criterion exists for cases where two-dimensional digital filters have external interference. In this paper, we propose a new criterion for the elimination of overflow oscillations in twodimensional digital filters described by Roesser model with saturation ...

Stability is one of the important issues for a TCP/AQM (Active Queue Management) system. In this paper, we study the local and global stability of TCP-newReno/RED under many flows regime. The existing results of the local stability are mostly for TCP-Reno, not for newReno. These results are obtained based on a small scale model with a few number of flows and thus cannot be blindly applied to a ...

We obtain the most general matrix criterion for stability and instability of multicomponent solitary waves by considering a system of N incoherently coupled nonlinear Schrodinger equations. Soliton stability is studied as a constrained variational problem which is reduced to finite-dimensional linear algebra. We prove that unstable (all real and positive) eigenvalues of the linear stability pro...

The importance of stability for dynamical systems is well-known. Any real system, including biped robots, need to be working under all kinds of disturbances. Whether the biped robot can effectively keep the planned motion under these disturbances is a fundamental property, and that is the explanation of stability intuitively. Stability of biped walking is the key problem in the theoretical fram...

Ž . Let A be an n = n matrix and let s A be its spectrum. The stability Ž . Ž .4 modulus of A is s A s max Re l: l g s A , and A is said to be stable Ž . if s A 0. The stability of a matrix is related to the Routh]Hurwitz problem on the number of zeros of a polynomial that have negative real parts. Much research has been devoted to the latter. The first solution w x dates back to Sturm 21, p. 3...

We study the stability of a Bose condensate of atomic 7 Li in a (harmonic oscillator) magnetic trap at non-zero temperatures. In analogy to the stability criterion for a neutron star, we conjecture that the gas becomes unstable if the free energy as a function of the central density of the cloud has a local extremum which conserves the number of particles. Moreover, we show that the number of c...

Lumen volume variations is of great interest by the physicians given it reduces the probability of infarction as it increases. In this paper we present a fast and efficient method to detect the lumen borders in longitudinal cuts of IVUS sequences using an AdaBoost classifier trained with several local features assuring their stability. We propose a criterion for feature selection based on stabi...