Exponential stability analysis and model reduction for spatially interconnected discrete‐time systems with time‐varying delay

Stability analysis of discrete‐time systems with a time‐varying delay via improved methods

“…to inequality (9) with N ∈ ℝ 4n×3n , we get a special case (m = 1) of the MSB inequality recently proposed in [29]. When used to analyse the stability of system (1), the free matrix N is high-dimensional and results in the introduction of a lot of many decision variables.…”

“…As a common phenomenon, time delay widely exists in dynamic systems in the real world such as chemical systems and networked control systems [1][2][3]. The existence of a time delay usually induces instability, oscillation and other poor performances [4][5][6][7][8][9][10][11][12]. On the other hand, the introduction of a time delay can make some systems stable that is originally unstable without the delay [2] and can also accelerate the rate of convergence of system states [13].…”