6 Stability, Told by Its Developers (original) (raw)
2006, Lecture Notes in Control and Information Science
AI-generated Abstract
This paper presents a comprehensive examination of stability in the context of dynamical systems, beginning with an overview of the challenges posed by initial condition uncertainties in differential equations. Through a rigorous mathematical framework, the authors define stability in formal terms and discuss relevant concepts such as perturbed solutions and motion space. The work delves into classical stability theory and the conditions that allow solutions to remain close to reference trajectories over time, emphasizing the importance of understanding perturbations as variations in initial conditions rather than external disturbances.
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