In this paper the extension of LaSalle’s Invariance Principle for switched nonlinear systems is studied. Unlike most existing results in which each switching mode in the system needs to be asymptotically stable, in this paper we allow the switching modes to be only stable. Under certain ergodicity assumptions of the switching signals, two extensions of LaSalle’s Invariance Principle for global ...

The postulates of comprehension and extensionality in set theory are based on an inversion principle connecting set-theoretic abstraction and the property of having a member. An exactly analogous inversion principle connects functional abstraction and application to an argument in the postulates of the lambda calculus. Such an inversion principle arises also in two adjoint situations involving ...

In the presence of capital accumulation the Taylor principle may not be sufficient for determinacy under reasonable parameter values. In this paper I consider a two-sector extension of the models used in the existing literature. I show that what matters for whether the Taylor principle is sufficient is the price stickiness of investment goods. Price stickiness of consumer goods on the other han...

The paper relates a principle for designing the fuzzy fault detection filters devoted to a class of continuous-time nonlinear systems represented by TakagiSugeno models. The extension of the fuzzy reference model principle and the incremental quadratic constraints are proposed to obtain an approximation of H∞/H_ criterion in the residual weight matrix parameter design for TS fuzzy fault detecti...

This position paper describes how the combination of the Model-Driven Development (MDD) and Component-Based Software Engineering (CBSE) paradigms can support project monitoring and control, and project risk reduction. The core principle for this is articulated and named CARMA, and our research agenda and preliminary results are described. Through interviews, industry input, process simulation, ...

We outline an extension of Martin’s view of a conceptual realism, to a Cantorian realm of absolute infinities. We then formulate a strong reflection principle within this framework to obtain extra-constructible large cardinals.

In this lecture, we will first consider the problem of boolean function evaluation and prove that randomized algorithms (in the expected case) perform better than deterministic algorithms. The boolean circuits that we consider, can be naturally extended to obtain a game tree. We will then state Von Neumann’s minimax theorem and its extension Yao’s principle. Finally, we show how Yao’s principle...

We introduce the relative tail pressure to establish a variational principle for continuous bundle random dynamical systems. We also show that the relative tail pressure is conserved by the principal extension.

The entropy solutions of the compressible Euler equations satisfy a minimum principle for the specific entropy [10]. First order schemes such as Godunov-type and Lax-Friedrichs schemes and the second order kinetic schemes [6] also satisfy a discrete minimum entropy principle. In this paper, we show an extension of the positivity-preserving high order schemes for the compressible Euler equations...

One of the important ways development takes place in mathematics is via a process of generalization. On the basis of a recent characterization of this process we propose a principle that generalizations of mathematical structures that are already part of successful physical theories serve as good guides for the development of new physical theories. The principle is a more formal presentation an...