Robust stability of non linear time varying systems

summary:Systems with time-varying non-linearity confined to a given sector (Luré type) and a linear part with uncertainty formulated by an interval transfer function, are considered. Sufficient conditions satisfying the Popov criterion for stability, which are computationally tractable, are derived. The problem of checking the Popov criterion for an infinite set of systems, is reduced to that of checking the Popov criterion for a finite number of fixed coefficient systems, each in a prescribed frequency interval. Illustrative numerical examples are provided

Program in electro-physical studies - Microcircuit models and diagnostic techniques for environmental failure mode prediction

Microcircuit models and computer program for predicting failure modes under adverse environmental condition

Conditions on the boundary of the zero set and application to stabilization of systems with uncertainty

AbstractWe describe an analytic method for finding the location of the zero set of a vector-valued function which depends on m real variables and n complex parameters. We apply the method to robust stabilization of multivariable linear feedback systems. We find exact measures of the extent of permissible perturbations in the plant and/or the compensator that maintain feedback stability

On the quadratic stability of switched interval systems: Preliminary results

In this paper we present some preliminary results on the quadratic stability of switched systems with uncertain parameters. We show that the quadratic stability of a class of switched uncertain systems may be readily verified using simple algebraic conditions. Examples are presented to demonstrate the efficacy of our techniques

Some results on quadratic stability of switched systems with interval uncertainty

In this paper we present some results on the quadratic stability of switched systems with uncertain parameters. We show that the quadratic stability of a class of switched uncertain systems may be readily veried using simple algebraic conditions

Some results on quadratic stability of switched systems with interval uncertainty

In this paper we present some results on the quadratic stability of switched systems with uncertain parameters. We show that the quadratic stability of a class of switched uncertain systems may be readily veried using simple algebraic conditions

Strict Positive Realness of Descriptor Systems in State Space

In this paper we give necessary and sufficient spectral conditions for various notions of strict positive realness for single input single output, impulse free Descriptor Systems. These conditions only require calculation of eigenvalues of a single matrix. A characterization of a KYP-like lemma for descriptor systems is also derived, and its implications for the stability of a class of switched descriptor systems are briefly discussed

On Spectral Conditions for Positive Realness of Transfer Function Matrices

Necessary and sufficient conditions for strict positive realness and positive realness of general transfer function matrices are derived. The conditions are expressed in terms of eigenvalues of matrix functions of the state matrices representation of the LTI system. Illustrative numerical examples are provided