The admissibility analysis and robust admissible control problem of the uncertain discretetime switched linear singular (SLS) systems for arbitrary switching laws are investigated. Based on linear matrix inequalities, some sufficient conditions are given for: A) the existence of generalized common Lyapunov solution and the admissibility of the SLS systems for arbitrary switching laws, B) the ex...

In this paper we discuss the characteristic property of the left invertible semigroups on general Banach spaces and admissibility of the observation operators for such semigroups. We obtain a sufficient and necessary condition about their generators. Further, for the left invertible and exponentially stable semigroup in Hilbert space we show that there is an equivalent norm under which it is co...

Some sufficient conditions on certain constants which are involved in some first and second-order differential subordinations associated with functions positive real part like modified Sigmoid function, exponential function Janowski obtained so that the analytic [Formula: see text] normalized by condition text], is subordinate to function. The admissibility for used as a tool proof of results. ...

The concept of support is central to data mining. While the definition of support in transaction databases is intuitive and simple, that is not the case in graph datasets and databases. Most mining algorithms require the support of a pattern to be no grater than that of its subpatterns, a property called anti-monotonicity or admissibility. This study examines the requirements for admissibility ...

In Ho and Russell (SIAM J Control Optim 21(4):614–640, 1983), and Weiss (Syst Control Lett 10(1): 79–82, 1988), a Carleson measure criterion for admissibility of one-dimensional input elements with respect to diagonal semigroups is given.We extend their results from the Hilbert space situation (L2-admissibility on the state space 2) to the more general situation of L p-admissibility on the stat...

This paper presents new theoretical results on sparse recovery guarantees for a greedy algorithm, Orthogonal Matching Pursuit (OMP), in the context of continuous parametric dictionaries. Here, setting means that dictionary is made up an infinite uncountable number atoms. In this work, we rely Hilbert structure observation space to express our as property kernel defined by inner product between ...

Digital evidence is increasingly important in legal proceedings as a result of advances in the information and communications technology sector. Because of the transnational nature of computer crimes and computer-facilitated crimes, the digital forensic process and digital evidence handling must be standardized to ensure that the digital evidence produced is admissible in legal proceedings. The...