×

zbMATH — the first resource for mathematics

Linear interval dynamic systems: stability-like properties of their solutions. (English. Russian original) Zbl 1089.93541
Autom. Remote Control 60, No. 12, Part 1, 1714-1720 (1999); translation from Avtom. Telemekh. 1999, No. 12, 49-57 (1999).
Summary: Sufficient conditions for the asymptotic stability of linear interval dynamic systems are formulated and the Lyapunov-function apparatus is applied to solve the problem of stabilization for these systems. Under certain conditions, these problems yield to solution only with two “angular” matrices. Stability-like properties of dynamic systems are defined to be different types of stability, stabilization relative to all or part of the variables, and convergence.
MSC:
93D09 Robust stability
34D99 Stability theory for ordinary differential equations
93D21 Adaptive or robust stabilization
PDF BibTeX XML Cite