… version of the nonlinear small gain theorem for the case of more … extension of the known
small gain theorem to larger interconnections is needed. In this paper we obtain this extension …

… In particular, it is worth pointing out that this paper extends the classical small-gain theorem
for non-switched systems to switched systems based on the popular average dwell time …

… This paper provides a personal account of the small-gain theory as a tool for … theory is the
development of a transformative stability criterion known as the classical small-gain theorem …

… establish a generalized small-gain theorem (see Theorem 2.1 and Corollary 2.1) and a gain
… theorem (see Theorem 2.2). The first one extends the small monotone gain theorem proved …

… In this section, we try to extend the concept of ISpS and the corresponding Lyapunov stability
criterion in Jiang et al. (1994) to stochastic nonlinear systems. For interconnected systems …

… For example, the well known ISS small-gain theorem was extended to the case of
switched systems with arbitrary switchings [6]. In [21], a small-gain theorem for switched …

… We prove a small-gain theorem for interconnections of n … systems, we derive small-gain
theorems for asymptotic gain, … , 30] also an extension of the wISS small-gain theorem to the …

… In a similar context, the necessity of the smallgain theorem … (LTV) perturbations, and extended
to LTV systems subject to … the small-gain theorem is also necessary, thereby extending …

… To extend the small gain theorem to uncertain systems, we need to extend the ISS concept
to uncertain system (11). Definition 2.1: System (11) is said to be robustly [with respect to d(t)] …

… the philosophy of the ISS small-gain theorem has been extended to the iISS … small-gain
theorem has been extended to the case of general networks[7], [17]. The ISS small-gain theorem …