The paper deals with the stability properties of linear discrete-time switched systems with polytopic sets of modes. The most classical way of studying the uniform asymptotic stability of such a system is to check for the existence of a quadratic Lyapunov function. It is known from the literature that letting the Lyapunov function depend on the time-varying switching parameter improves the chan...

Abstract: This paper discusses the quadratic stability and quadratic stabilization problem for a class of nonlinear perturbed discrete time-delay systems. Necessary and sufficient conditions for quadratic stability are presented via S-procedure technique and linear matrix inequality (LMI). Both static and dynamic output feedback controllers are constructed respectively. Furthermore, necessary a...

in this paper, we prove the generalized hyers--ulamstability of a quadratic and quartic functional equation inintuitionistic fuzzy banach spaces.

Some sharp quadratic reverses for the generalised triangle inequality in inner product spaces and applications are given.

Braunstein et. al. have started the study of entanglement properties quantum states through graph theoretical approach. Their idea was to start from a simple unweighted $G$ and then they defined state Laplacian $G$. A lot research had already been done using similar idea. We ask here opposite one i.e can we generate density matrix? To investigate this question, constructed unital map $\phi$ suc...

Quantum adiabatic evolution is perceived as useful for binary quadratic programming problems that are a priori unconstrained. For constrained problems, it is a common practice to relax linear equality constraints as penalty terms in the objective function. However, there has not yet been proposed a method for efficiently dealing with inequality constraints using the quantum adiabatic approach. ...

We explicitly compute the spectrum and eigenfunctions of the magnetic Schrödinger operator H( A,V) = (i∇ + A)2 + V in L2(R2), with Aharonov-Bohm vector potential, A(x1,x2)= α(−x2,x1)/|x|2, and either quadratic or Coulomb scalar potential V . We also determine sharp constants in the CLR inequality, both dependent on the fractional part of α and both greater than unity. In the case of quadratic p...