Global Asymptotic Stability of 2-D Digital Filters With a Saturation Operator on the State-Space
V. Krishna Rao Kandanvli, Haranath Kar
Abstract
This brief investigates the global asymptotic stability (GAS) problem of two-dimensional (2-D) digital filters represented by Roesser model subject to saturation nonlinearities. A new sufficient GAS condition for the underlying 2-D system is derived. The condition is compared with several existing stability conditions.
Topics & Concepts
Saturation (graph theory)Exponential stabilityControl theory (sociology)Stability (learning theory)Digital filterMathematicsOperator (biology)State spaceApplied mathematicsComputer scienceFilter (signal processing)Nonlinear systemPhysicsStatisticsChemistryMachine learningArtificial intelligenceComputer visionGeneRepressorCombinatoricsControl (management)BiochemistryQuantum mechanicsTranscription factorStability and Control of Uncertain SystemsStability and Controllability of Differential EquationsAdaptive Control of Nonlinear Systems