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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.
93D09 Robust stability
34D99 Stability theory for ordinary differential equations
93D21 Adaptive or robust stabilization