Title :
Model and stability of discrete systems with iterations
Author :
Krumov, Assen V.
Author_Institution :
High Sch. of Transp., Sofia, Bulgaria
Abstract :
In the paper sufficient conditions for stability of nonlinear discrete systems with iterations and for synthesis of discrete Lagrange stable linear time-varying system with iterations, connecting the norm of the operator describing the discrete system, the initial conditions, the perturbations and the parameters of the systems are given and proven with theorems. The results can be used for assessment of discrete iterative processes and systems, like digital microprocessor based controllers.
Keywords :
Lyapunov methods; discrete systems; nonlinear control systems; stability; digital microprocessor based controller; discrete Lagrange stability; discrete iterative processes; initial condition; iterations; nonlinear discrete systems; perturbation; time-varying system; Control systems; Digital control; Joining processes; Lagrangian functions; Microprocessors; Nonlinear equations; Nonlinear systems; Stability criteria; Sufficient conditions; Time varying systems;
Conference_Titel :
EUROCON 2003. Computer as a Tool. The IEEE Region 8
Print_ISBN :
0-7803-7763-X
DOI :
10.1109/EURCON.2003.1248056
