Global stability of coupled Markovian switching reaction–diffusion systems on networks

Global Mittag-Leffler stability for fractional-order coupled systems on network without strong connectedness

“…The typical characteristic of fractional-order coupled systems (FOCSs), which are different from classical dynamic systems, is that they depend on their entire states [3]. In the past few decades, many important results and methods have been reported for the stability of FOCSs and classical dynamic systems [4][5][6][7][8][9][10][11][12][13][14]. Coupled systems on networks have been extensively used to model ecosystems, social networks, and global economic markets.…”

“…Kao et al [10] studied the stability problem for some stochastic coupled reaction-diffusion systems on networks by constructing a global Lyapunov function. Kao et al [12] established certain sufficient conditions for coupled systems using Markovian switching on networks, including the asymptotically stochastic stability and globally asymptotic stochastic stability. Li et al [13] studied the stability problem for coupled impulsive Markovian jump systems on networks using graph theory.…”

Robust non‐fragile control for delayed singular Markovian jump systems with actuator saturation and partially unknown transition probabilities

“…Singular systems, also referred to as implicit systems, descriptor systems, semi-state systems, or generalized state-space systems, are popular in modeling economic systems, power systems, robotics, network theory, and circuits systems [1]. On the other hand, many physical systems, such as aircraft control, solar receiver control, power systems, manufacturing systems, networked control systems, air intake systems, and other practical systems, may happen abrupt variations in their structure, because of random failures or repair of components, sudden environmental disturbances, changing subsystem interconnections, abrupt variations in the operating points of a nonlinear plant [2][3][4][5][6]. Recently, more and more attention has been paid to the problem of stochastic stability and stochastic admissibility for singular Markovian jump systems; see [7][8][9][10][11][12][13][14][15][16][17][18] and the references therein.…”

On Exponential Stabilizability for a Class of Switched Nonlinear Systems with Mixed Time-Varying Delays

“…For the case when the positive switched system does not share a CLCLF, a multiple linear copositive Lyapunov functional method was used in [15]. Some other methods to stability of switched nonlinear systems were proposed in [16][17][18][19][20][21].…”