Finding integral inequalities for quadratic functions plays a key role in the field of stability
analysis. In such circumstances, the Jensen inequality has become a powerful mathematical …

This paper investigates the problem of robust H∞ control for a class of nonlinear systems
with state and input time-varying delays. The nonlinearity is presented by a continuous-time …

This paper addresses the problem of assessing the stability of linear time-invariant (LTI)
systems with time-varying delay. The first contribution is a new stability criterion specified as …

Integral inequalities have been widely used in stability analysis for systems with time‐
varying delay because they directly produce bounds for integral terms with respect to …

In this paper, new weighted integral inequalities (WIIs) are first derived based on Jensen's
integral inequalities in single and double forms. It is theoretically shown that the newly …

This paper suggests first-order and second-order generalized zero equalities and constructs
a new flexible Lyapunov–Krasovskii functional with more state terms. Also, by applying …

This paper investigates the robust stability analysis and state feedback controller design of
networked control systems (NCSs). A stochastic network-induced delay in given interval with …

In the field of stability analysis for time-delay systems, finding precise bounds of
integral/summation forms of quadratic functions plays a key role in reducing the …

Stability conditions for time‐delay systems using the Lyapunov‐based methodologies are
generically expressed in terms of linear matrix inequalities. However, due to assuming …

This paper concerns the issue of stabilization and stability analysis for Takagi–Sugeno (T–S)
fuzzy systems with time delay. A new type of Lyapunov–Krasovskii functional (LKF) …