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Robust stability of a linear multivariable system, in the sense of robustness under multiplicative transfer function perturbation, is necessarily preserved under sufficiently small perturbations in th...
It is shown that many system stability and robustness problems can be reduced to the question of when there is a quadratic Lyapunov function of a certain structure which establishes stability of dx/dt...
This paper proposes a formulation to provide necessary and sufficient conditions for robust stability of a family of matrices modeling linearized power system dynamics. A construction for transforming...
We consider linear time-invariant systems subject to real, parametric variations. The problem of computing the half-sidelength 1/mu_infinity of the largest stability hypercube in the parameter space i...
For linear systems with unspecified parameters that lie between given upper and lower bounds, we present a branch and bound algorithm that computes the minimum stability degree.
This paper presents a method of synthesizing controllers for systems with input saturation that guarantees state space regions of attraction. While the computation of stability regions and the corresp...
One of the most promising approaches is the Discontinuous Galerkin (DG) method, for which the theoretical basis has been provided in a series of papers by Cockburn and Shu [1, 2, 3, 4]. The rapid gr...
In this paper we present a method for synthesis of decentralized controllers for multiple identical systems interconnected on a graph. We develop a synthesis procedure for controllers which will stabi...
The object of this paper is to outline a stability theory for input-output problems using functional methods. More particularly, the aim is to derive open loop conditions for the boundedness and conti...
The object of this paper is to outline a stability theory based on functional methods. Part I of the paper was devoted to a general feedback con&pration. Part I1 is devoted to a feedback system consis...
In this paper, we study the existence and global asymptotic stability of positive periodic solutions of a delayed periodic predator-prey system with Holling II type functional response. By use of the ...
The stability analysis problems were put forward for the large-scale systems with time-delay by using the partial decomposition method. With the stability of the isolated subsystems without time-delay...
This paper further investigates the stability of the n-dimensional linear systems with multiple delays. Using Laplace transform, we introduce a definition of characteristic equation for the n-dimensio...

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