Particular-Function-Based Preassigned-Time Stability of Discontinuous System: Novel Control Scheme for Fuzzy Neural Networks
Zuowei Cai, Lihong Huang, Zengyun Wang
Abstract
In this article, the preassigned-time stability (PATS) problems are considered for a class of discontinuous dynamic systems via differential inclusion. By using some particular functions, including hyperbolic-tangent function and logistic function, the novel PATS theorems are proposed by means of the Lyapunov method. Based on developed PATS theorems, the preassigned-time stabilization control is realized for fuzzy switched neural networks (FSNNs) by designing a suitable control scheme, where the stabilization time does not depend on any system parameters and initial values of FSNNs. Meanwhile, the simulation examples are provided to verify the main results.
Topics & Concepts
Control theory (sociology)Differential inclusionArtificial neural networkFuzzy control systemMathematicsFuzzy logicStability (learning theory)Hyperbolic functionLyapunov functionFunction (biology)Scheme (mathematics)TangentComputer scienceControl (management)Mathematical optimizationNonlinear systemArtificial intelligenceMathematical analysisPhysicsGeometryMachine learningBiologyQuantum mechanicsEvolutionary biologyNeural Networks Stability and SynchronizationDistributed Control Multi-Agent SystemsAdaptive Dynamic Programming Control