MULTIDIMENSIONAL LINEAR SYSTEMS
Keywords:
Keywords: Multidimensional systems, linear systems, system theory, partial differential equations, multidimensional state-space, observability, controllability, stability, Roesser model, Fornasini-Marchesini model.Abstract
Annotation: This article explores the theoretical foundations and practical significance of multidimensional linear systems. These systems, characterized by variables depending on more than one independent parameter (such as space and time), have become essential in advanced control theory, signal processing, and system modeling. The paper discusses classical and modern approaches to modeling, analyzes recent literature, and presents methodological insights into system stability, controllability, and observability. The study concludes with results from recent simulations and suggests avenues for future research and practical applications.
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