Nonuniform complete observability; preservation by output feedback and duality results

2024/10/07 by Huerta, Ignacio
#93B05 #93B07 #93B52 #93C05 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.2410.04656

Abstract

In this paper we propose a new observability property for nonautonomous linear control systems in finite dimension; the nonuniform complete observability, which is more general than the uniform complete observability. The main result of this work will prove that nonuniform complete observability is preserved via output feedback. In addition, the duality between this concept and the recently introduced concept of nonuniform complete controllability will be proved, leading to the result of preservation of nonuniform complete controllability via input feedback.

Related

• Detectability via observability in a nonuniform framework: dual relationship with controllability and stabilizability
• Controllability and feedback stabilizability in a nonuniform framework
• Reciprocal relationship between detectability and observability in a non-uniform setting
• Avoiding observability singularities in output feedback bilinear systems
• Dynamic Output Feedback Stabilization of Non-uniformly Observable Dissipative Systems