Stability Analysis and Delay Control for Switched Positive Linear Systems

Stability analysis of discrete‐time positive polynomial‐fuzzy‐model‐based control systems through fuzzy co‐positive Lyapunov function with bounded control

“…This proof process can apply to prove x(k) ≺ λ l if initial condition 0 ⪯ ϕ(0) ⪯ λ l . Therefore, (29) implies the minimum λ l , l ∈ p which represents that λ k satisfies λ k = x, therefore we can guarantee system states x(k) ⪯ x which ensures positive PFMB control system can always work in the whole operating domain.…”

“…Typically, Lyapunov stability and positivity conditions formulated in linear matrix inequalities (LMIs) are obtained to synthesise fuzzy controller and guarantee the stability and positivity of the closed-loop T-S FMB control systems [16][17][18]. Besides, filters are designed for positive T-S FMB control systems in [20,23] and positivity and stability analysis of special types of positive systems including positive switch systems and positive Markovian jump systems are also investigated in the literature [24][25][26][27][28][29][30].…”

Image Noise Preprocessing of Interactive Projection System Based on Switching Filtering Scheme

“…As we have known, switching rules play an important role in improving the stability and robustness of the image noise preprocessing of interactive projection system. The arbitrary switching is random and cannot guarantee that each frame of the image is switched to the suitable adaptive filtering algorithm [22][23][24][25]. Therefore, the switching algorithm with arbitrary switching rule needs to be improved in terms of accuracy and the switching rules can be optimized in the next step.…”

“…Therefore, the switching algorithm with arbitrary switching rule needs to be improved in terms of accuracy and the switching rules can be optimized in the next step. In future work, the average dwell time 7 Complexity switching method or the event-driven switching method will be considered to improve the filtering accuracy and the robustness for the image processing filter system [24][25][26][27][28][29][30][31].…”

Adaptive Neural Control with Prespecified Tracking Accuracy for a Class of Switched Systems Subject to Input Delay

“…Over the past two decades, a lot of scholars focused on dealing with the control issues of the switched systems, and a number of interesting and meaningful results have been presented in [3][4][5][6][7][8][9][10]. In [3,4], based on the multiple linear copositive Lyapunov function method, the stability problem for switched positive linear systems with the average dwell time switching is studied. By using the technique of adding a power integrator, Fu et al [5] discuss the finite-time control problem, and an adaptive controller is constructed to achieve the globally finite-time stabilization of the switched nonlinear systems with the powers of positive odd rational numbers.…”