This paper considers the problem of robust stabilization for a class of uncertain nonlinear systems which involve a base system with a control input and a forwarding structure. Both parts of the system are allowed to be nonlinear, multidimensional, and containing uncertain parameters. We present a new approach to design stabilizing controllers which assure both robust global asymptotic stabilit...

In this paper, we use a variety of mathematical techniques to explore existence, local stability, and global stability of equilibria in abstract models of mitochondrial metabolism. The class of models constructed is defined by the biological description of the system, with minimal mathematical assumptions. The key features are an electron transport chain coupled to a process of charge transloca...

in this paper, we consider first-order fuzzy differential equations with initial value conditions. the convergence, consistency and stability of difference method for approximating the solution of fuzzy differential equations involving generalized h-differentiability, are studied. then the local truncation error is defined and sufficient conditions for convergence, consistency and stability of ...

From the perspective of the statistical fluctuation theory, we explore the role of the thermodynamic geometries and vacuum (in)stability properties for the topological Einstein–Yang–Mills black holes. In this paper, from the perspective of the state-space surface and chemical Weinhold surface of higher dimensional gravity, we provide the criteria for the local and global statistical stability o...

After 3.3: Ordinary differential equations . . . . . . . . . . . . . . . . . . . . . . 2 Before 5.1.3: Extinction and invariance under imitative dynamics . . . . . . . . . 3 With 5.1.3: Monotone percentage growth rates and positive correlation . . . . . . 3 With 5.1.3: Rest points and restricted equilibria . . . . . . . . . . . . . . . . . . . . 5 With 5.2.2: Construction of solutions of the be...

an attempt was made to develop a method for sizing stable riprap around bridge piers based on a huge amount of experimental data, which is available in the literature. all available experimental data for circular as well as round-nose-and-tail rectangular piers were collected. the data for rectangular piers, with different aspect ratios, aligned with the flow or skewed at different angles to th...

A well-known clustering algorithm is K-means. This algorithm, besides advantages such as high speed and ease of employment, suffers from the problem of local optima. In order to overcome this problem, a lot of studies have been done in clustering. This paper presents a hybrid Extended Cuckoo Optimization Algorithm (ECOA) and K-means (K), which is called ECOA-K. The COA algorithm has advantages ...