Stimulated by a general necessary and sufficient condition for robust stability of sampled-data systems stated in an operator-theoretic framework, we introduce a novel technique called linear periodically timevarying (LPTV) scaling. We then give a simple example of sampled-data systems in which this new scaling allows exact robust stability analysis for static uncertainties while the convention...

In this paper, the problem of reducing a given LTI system into a left or right invertible one is addressed and solved with the standard tools of the geometric control theory. First, it will be shown how an LTI system can be turned into a left invertible system, thus preserving key system properties like stabilizability, phase minimality, right invertibility, relative degree and infinite zero st...

A method for structural and parameter identi…cation of a slowly time-varying systems is proposed. The frozen-time method is used in this analysis. By means of this method we obtain consecutive LTI models, which are identi…ed in consecutive discrete instants using the Qualitative System Identi…cation (QSI) Algorithm. The proposed algorithm models the behavior of the ODE’s coe¢ cients means of po...

'Fluctuation-induced transitions between coexisting periodic attractors in a periodically driven nonlinear oscillator have been investigated theoretically and by analogue electronic experiment. Calculations and measurements of the corresponding activation energies are in good agreement, and have enabled the position of the kinetic phase transition (KPT) line to be established over its full range.

Power quality is one of major concerns in the present era. It has become important, especially, with the introduction of sophisticated devices, whose performance is very sensitive to the quality of power supply. Power quality problem is an occurrence manifested as a nonstandard voltage, current or frequency that results in a failure or mis-operation of end user equipments. One of the major prob...

Linear periodically time-varying (LPTV) systems are abundant in control and signal processing; examples include multirate sampled-data control systems and multirate lter-bank systems. In this paper, several ways are proposed to quantify aliasing eeect in discrete-time LPTV systems; these are associated with optimal time-invariant approximations of LPTV systems using operator norms.

For G a closed subgroup of S∞, we provide a precise combinatorial characterization of when the universal minimal flow M(G) is metrizable. In particular, each such instance fits into the framework of metrizable flows developed in [KPT] and [NVT]; as a consequence, each G with metrizable universal minimal flow has the generic point property, i.e. every minimal G-flow has a point whose orbit is co...

Given a theory T̃ of a polynomially bounded expansion R̃ of R̄ with the field of exponents Q, we introduce a theory T whose models are comprised of a dense pair of models of T̃ and a discrete multiplicative group. We will then prove that T is complete and admits quantifier elimination when predicates are added for certain existential formulas. In particular if T̃ = RCF then T axiomatises 〈R̄,Ralg, 2Z...

-This paper proposes a new industry custom power system with a new static var compensator (SVC) main circuit topology, and then introduces the wiring scheme of the new rectifier transformer, the harmonic suppression mechanism of the inductive filtering different from the traditional passive filtering (PF) and the active filtering (AF), and the dynamic reactive compensation at the third side of ...

A Power quality problem is an occurrence manifested as a nonstandard voltage, current or frequency that results in a failure or a misoperation of end use Equipments. Utility distribution networks, sensitive industrial loads, and critical commercial operations all suffer from various types of outages and service interruptions which can cost significant financial 1oss per incident based on proces...