Finite-time H∞ control for a class of discrete-time switched time-delay systems with quantized feedback

Finite-time H ∞ control for switched systems with time-varying delay using delta operator approach

“…Recently, a few results on finite-time stability of switched systems have been given in [22,23]. Some results on finite-time H ∞ control for switched systems have been reported in the literature [24][25][26][27][28][29]. However, to the best of our knowledge, there are few results available on finite-time stability and finite-time boundedness of delta operator switched systems with time-varying delay, and this is the motivation for our study.…”

“…We can obtain from (27), (28) and (11) that system (5) is finite-time bounded with respect to 1 2 ( , , , , ). f d T R η η Choosing the Lyapunov-Krasovskii functional candidate (12) and following the proof line of Theorem 1, we can get…”

Finite-time filtering for switched linear systems with a mode-dependent average dwell time

“…The finite-time stability is a different stability concept, which admits that the state does not exceed a certain bound during a fixed finite-time interval. The results of early studies related to finite-time stability can be found in [25][26][27][28][29][30][31][32][33][34][35][36]. To make the system stabilize as quickly as possible in practical applications, the finite-time filter design was introduced as an effective technique to obtain better robustness properties [37,38].…”

Finite‐time H ∞ control with average dwell‐time constraint for time‐delay Markov jump systems governed by deterministic switches

“…Furthermore, time-delay is a common phenomenon and is inevitable in practice systems [27][28][29][30][31][32][33][34]. Owing to the interaction among discrete-time dynamics, stochastic jumps, deterministic switches and time-delays, the dynamics of switching MJLS with time-delay becomes more complex than MJLS or switched system without time-delay and timedelay systems without jumps or switches.…”