Computer science (CS) has many areas, including numerical analysis (NA) that creates,
analyzes, and implements algorithms. One of the main goals of numerical analysis is to …

The interval eigenvalue problem using constraint interval analysis with an application to
linear differential equations - ScienceDirect Skip to main contentSkip to article Elsevier logo …

In this article, based on polynomial differential inclusions, we propose a heuristic iterative
approach for estimating the domains of attraction for nonpolynomial systems. First, we use …

In this article, we investigate the inner estimations of the minimal domains of attraction
(MDA) for uncertain nonlinear systems, whose uncertainties are modeled by parameters …

Domain of attraction plays an important role in control systems analysis, which is usually
estimated by sublevel sets of Lyapunov functions. In this paper, based on the concept of …

Domain of attraction plays an important role in stability analysis and safety verification of
nonlinear control systems. In this paper, based on the concept of multiple Lyapunov‐like …

The viability kernel corresponds to the set of all state vectors of a controlled dynamic system
that are viable, ie, such that there exists an input such that the system will not enter inside a …

Stability contractors, based on interval analysis, were introduced in recent work as a tool to
verify stability domains for nonlinear dynamic systems. These contractors rely on the …

Interval difference equations can be used for modeling biological, economic, or physical
systems that, due to lack of information or measurement errors in the input data from real …

The Lyapunov equation allows finding a quadratic Lyapunov function for an asymptotically
stable fixed point of a linear system. Applying this equation to the linearization of a nonlinear …