IEEE Transactions on Automatic Control

By Panos J. Antsaklis, E. Kovács, E. K. Chong, Jessy W. Grizzle, Miroslav Krstic, J. Spall, Y. Amamoto, D. Arzelier, Alessandro Astolfi, Julio H. Braslavsky and 26 more. 2006

409 citations recorded by the source corpus.

Consider a given dynamical system, described by ẋ = f(x) (wheref is a nonlinear function) and [x0] a subset ofR. We present an algorithm, based on interval analysis, able to show that there exists a unique equilibrium statex∞ ∈ [x0] which is asymptotically stable. The effective method also provides a set[x] (subset of[x0]) which is included in the attraction domain of x∞.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/db0760d59f189a5906e0d2b431eeaec31842ddb5

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Control and Systems Engineering

1. Bhaskara Marthi
2. Albert-László Barabási
3. Yang-Yu Liu

Citations in the corpus

• Control Principles of Complex Networks (2015, positive): “It has been proved that if the (N + 1) agents are linked together for each time interval, then alignment will be asymptotically reached (Jadbabaie et al., 2003).”
• Quantum state tomography via compressed sensing. (2009, neutral): “Justifications of this transformation can be found in [MP97] and [FHB01].”
• Dynamical vacuum energy in the expanding Universe confronted with observations: a dedicated study (2014, positive): “Since the current vacuum models contain different number of free parameters, as a further statistical test we use the (corrected) Akaike Information Criterion (AIC) relevant to our case (Ntot/nfit > 40) [73], which is defined, for the case of Gaussian errors, as follows:”
• Concurrent Hierarchical Reinforcement Learning (2005, positive): “Versions of this theorem have been proved in various settings in hierarchical RL [Forestier and Varaiya, 1978; Parr, 1998; Precup and Sutton, 1998; Andre, 2003; Dietterich, 2000].”
• Holographic dark energy through Tsallis entropy (2018, neutral): “Moreover, it can be significantly improved allowing B to change too (in this case in the end one has to use the AIC [65] and BIC [66] criteria in order to consistently weight the effect of the additional model parameters).”