In this paper, an initial condition of a sigma-delta modulator is estimated based on quantizer output bit streams and an input signal. The set of initial conditions that generate a stable trajectory is characterized. It is found that this set, as well as the set of initial conditions corresponding to the quantizer output bit streams, are convex. Also, it is found that the mapping from the set o...

For a new class of tendon-driven robotic systems that is generalized to include tensegrity structures, this paper focuses on a method to determine the tendon force inputs from a set of admissible, non-saturating inputs, that will move the rigidbody system from point A to point B along a prescribed path in minimum time. The approach utilizes the existence conditions and solution of a linear alge...

in this paper, we investigate the existence of positive solutions for the ellipticequation $delta^{2},u+c(x)u = lambda f(u)$ on a bounded smooth domain $omega$ of $r^{n}$, $ngeq2$, with navier boundary conditions. we show that there exists an extremal parameter$lambda^{ast}>0$ such that for $lambda< lambda^{ast}$, the above problem has a regular solution butfor $lambda> lambda^{ast}$, the probl...

The idea of symmetry is a built-in feature the metric function. In this paper, we investigate existence and uniqueness fixed point certain contraction via orthogonal triangular ?-orbital admissible mapping in context complete Branciari spaces endowed with transitive binary relation. Our results generalize extend some pioneering literature. Furthermore, criteria solutions to fractional integro-d...

In the paper stochastic dynamical control systems described by nonlinear stationary ordinary differential state equations are considered. Using a generalized open mapping theorem, sufficient conditions for constrained local stochastic controllability in a given time interval are formulated and proved. It is generally assumed, that the values of admissible controls are in a convex and closed con...

inthis paper, the main aim is to introduce the class $mathcal{u}_p(lambda,alpha,beta,k_0)$ of $p$-harmonic mappings togetherwith its subclasses $mathcal{u}_p(lambda,alpha,beta,k_0)capmathcal {t}_p$ and $mathcal{u}_p(lambda,alpha,beta,k_0)capmathcal {t}_p^0$, andinvestigate the properties of the mappings in these classes. first,we give a sufficient condition for mappings to be in $mathcal{u}_p(l...

The main objective of this work is to introduce a new type non-linear contraction via C-class functions by using ?-admissible mapping. Our results extend and generalize the very recent Karapinar Sadarangani (2015. RACSAM. [37]). Illustrative examples are given support our findings. We have shown that satisfy periodic fixed point after modifying contraction. Next, we findings from self-mapping T...

0. Introduction 3 0.1. Reduced decompositions 4 0.2. Affine exponents 7 0.3. Non–semisimple polynomials 12 0.4. Expected applications 17 1. Affine Weyl groups 21 1.1. Affine roots 22 1.2. The length on Ŵ 24 1.3. Reduction modulo W 29 1.4. Partial ordering on P 34 2. Reduced decompositions 37 2.1. Lambda–sequences 37 2.2. Coxeter transformations 39 2.3. Theorem about triples 42 2.4. Discussion 4...

This paper shows how parametric PILLY (Polymorphic Intuitionistic / Linear Lambda calculus with a fixed point combinator Y ) can be used as a metalanguage for domain theory, as originally suggested by Plotkin more than a decade ago. Using recent results about solutions to recursive domain equations in parametric models of PILLY , we show how to interpret FPC in these. Of particular interest is ...

0. Introduction 3 0.1. Reduced decompositions 4 0.2. Affine exponents 7 0.3. Non–semisimple polynomials 12 0.4. Expected applications 17 1. Affine Weyl groups 21 1.1. Affine roots 22 1.2. The length on Ŵ 24 1.3. Reduction modulo W 29 1.4. Partial ordering on P 34 2. Reduced decompositions 37 2.1. Lambda–sequences 37 2.2. Coxeter transformations 39 2.3. Theorem about triples 42 2.4. Discussion 4...