Less conservative robust absolute stability criteria for uncertain neutral-type Lur׳e systems with time-varying delays

Novel Stability Analysis for Uncertain Neutral-Type Lur’e Systems with Time-Varying Delays Using New Inequality

“…Consider Chua's circuit example discussed in [16,[19][20][21]. Chua's circuit is a simple nonlinear electronic circuit design.…”

“…Example 2 (see [12,[14][15][16][17][18][19][20]). Consider the following nominal neutral-type Lur' e systems: …”

“…The maximum allowable delay bounds (MADBs) of ℎ of nominal neutral-type Lur' e system (52) for different ℎ and have been shown in Table 2 along with the existing results in [12,[14][15][16][17][18][19][20]. Applying Matlab LMI-toolbox, one can get the simulation result in Figure 1.…”

“…As is known to all, delay-dependent stability results are less conservative than the delay-independent ones if delay size is very small. Therefore, a lot of articles were published recently which studied the delay-dependent stability for a class of neutral-type Lur' e systems with timevarying delays and sector bounded nonlinearities, and lots of significant results have been developed [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30].…”

“…The robust stability problems for neutral-type Lur' e systems with time-varying delays were considered because time delays vary always depending on time in [12][13][14][15][16][17][18][19][20][21][27][28][29][30]. The freeweighting matrix method was applied to get less conservative stability criteria and to deal with the robust stability problems for neutral-type Lur' e systems with time-varying delays in [15,16].…”