The paper presents a model reduction framework geared towards the analysis and design of systems that switch oscillate. While such phenomena are ubiquitous in nature engineering, problem approximating global behavior away from equilibrium is largely open. We address this dominance theory. Classical balanced truncation applied to can be decomposed as feedback interconnection large-scale linear s...

Abstract In the present paper we utilize Proper Orthogonal Decomposition (POD) method for model order reduction in application to Smoluchowski aggregation equations with source and sink terms. particular, show practice that there exists a low-dimensional space allowing approximate solutions of equations. We also demonstrate it is possible process complexity depending only on dimension such but ...