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Revisiting the theory of stability over a finite interval. (English. Russian original) Zbl 1314.70044

Int. Appl. Mech. 50, No. 3, 335-340 (2014); translation from Prikl. Mekh., Kiev 50, No. 3, 124-131 (2014).
Summary: A method for analyzing contractive stability over a finite interval with fixed settling time is proposed. The method employs a Lyapunov-type function and analyzes its behavior along the trajectories of the system.

MSC:

70Q05 Control of mechanical systems
34D20 Stability of solutions to ordinary differential equations
93D30 Lyapunov and storage functions
70K20 Stability for nonlinear problems in mechanics
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