The article provides sufficient conditions for both practical and finite time stability of linear continuous time delay systems described as X(t) = A0X(t) + A1X(t − τ). Considering a finite time stability concept, the new delay independent conditions have been derived using the approach based on the Lyapunov-like functions. These functions do not need to have the properties of positivity in the whole state space and negative derivatives along the system trajectories. When the practical stability has been analyzed the above mentioned approach was combined and supported by the classical Lyapunov technique to guarantee the attractivity property of the system behavior.
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机译：本文为线性连续时滞系统的实际和有限时间稳定性提供了充分的条件，描述为X（t）= A 0 X（t）+ A 1 X（ t-τ）。考虑到有限的时间稳定性概念，使用基于类Lyapunov函数的方法推导了新的独立于延迟的条件。这些函数不需要在整个状态空间中具有正性，也不需要具有沿着系统轨迹的负导数。当分析了实用稳定性后，上述方法便得到了经典Lyapunov技术的组合和支持，以保证系统行为的吸引性。
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