Necessary and Sufficient Stability Condition by Finite Number of Mathematical Operations for Time-delay Systems of Neutral Type
Marco A. Gomez, Alexey V. Egorov, Sabine Mondié
Abstract
We present a new necessary and sufficient condition of exponential stability of neutral-type linear time invariant (LTI) systems with one delay. The new stability criterion is given in terms of a block matrix, which exclusively depends on the delay Lyapunov matrix and is of finite dimension.
Topics & Concepts
MathematicsControl theory (sociology)LTI system theoryStability (learning theory)Exponential stabilityLinear systemType (biology)Dimension (graph theory)Matrix (chemical analysis)Lyapunov functionApplied mathematicsMathematical analysisComputer scienceNonlinear systemPure mathematicsControl (management)PhysicsQuantum mechanicsBiologyEcologyMachine learningComposite materialMaterials scienceArtificial intelligenceStability and Control of Uncertain SystemsNeural Networks Stability and SynchronizationControl and Stability of Dynamical Systems