Further results on the stability of linear nonautonomous systems with delayed state defined over finite time interval

On finite time stability of continuous time delayed systems: New delay dependent conditions

“…The presented material included an adjusted Bellman -Gronwall method. Lastly, a transformed Bellman-Gronwall method was applied to the stability investigation of continuous nonautonomous systems with dime delay operating over the finite time frame, [7]. In this work, we analyzed practical stability on the finite time interval for control continuous systems with time delay.…”

“…The limitations of the scope of the investigation for such systems are directly correlated to the responses of the systems (the solutions of the differential equations used for the mathematical descriptions of the systems). The requirements and practical applications of the technical systems encouraged the development of so-called technical and practical stability [1][2][3][4][5][6][7][8][9][10][11][12]. Further investigations on this topic were largely motivated by [1].…”

Stability of Linear Continuous Singular and Discrete Descriptor Time Delayed Systems

“…Finally, modified Bellman-Gronwall principle, has been extended to the particular class of continuous non-autonomous time delayed systems operating over the finite time interval, (Debeljkovic et al .b, 2000. (Debeljkovic et al .c, 1997, ).…”

Finite-Time Stability of Continuous Time Delay Systems: Lyapunov-like Approach with Jensen’s and Coppel’s Inequality

“…Similar to the non-delay systems, we can define FTS for time-delay systems. In references [12][13][14][15][16][17][18], some basic results on FTS are derived. These results are conservative, because they use the inequalities based on the norm of state vector.…”