Stabilization of nonlinear dynamical systems via intermittent control with non-instantaneous impulses and actuator saturation

Stability analysis of T-S fuzzy state-dependent impulsive nonlinear systems via an extended functional-based approach

“…Impulsive systems are used to describe systems or processes with drastic and sudden changes. Since the 1950s, impulsive systems have attracted human attention and extensive researches have been conducted [1][2][3][4][5][6][7]. Impulsive systems comprise both continuous state trajectory evolution, characterized by ordinary differential equations, and discrete state trajectory evolution involving abrupt changes occurring at specific moments, making them an important class of hybrid systems [7].…”

“…Impulsive input control is highly effective in studying the stability issues of complex nonlinear systems due to its easy implementation and low cost. In recent years, many fruitful research results related to the stability or stabilization of impulsive systems have emerged, please refer to [1,[3][4][5][7][8][9].…”

“…The phenomenon of impulses is very common in scientific practice [1], appearing in various fields such as science and technology, ecological environments, aerospace, engineering control, biomedicine, etc. Examples include the instantaneous starting and braking of the vehicles, changes in species numbers with environmental variations, motion control of aircraft, collision problems involving sudden speed changes, price fluctuations in complete markets, etc.…”

Robust H∞$$ {H}_{\infty } $$ continuous‐discrete hybrid impulsive dynamic output feedback control for delays descriptor Markovian jump systems with multidimensional impulsive operator

“…40 In the past decades, impulsive controls have received considerable attention. [41][42][43][44][45][46][47] For a kind of aperiodic impulsive systems, 48 designed a stabilizing DOF controller; a hybrid impulsive controller was proposed in Reference 49 to compress the inconsistent state jumps in switched descriptor systems. However, it can be seen little study in the hybrid impulsive DOF control for time delays DMJSs (TDDMJSs), which inspires our current study.…”

“…The impulsive control can deal with special cases that the continuous control is not suitable or cannot be implemented because of the nature of the problem itself or the sensor limitations 40 . In the past decades, impulsive controls have received considerable attention 41‐47 . For a kind of aperiodic impulsive systems, 48 designed a stabilizing DOF controller; a hybrid impulsive controller was proposed in Reference 49 to compress the inconsistent state jumps in switched descriptor systems.…”