Nonlinear Systems Third Edition

By Hassan K. Khalil. 2008

1,384 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/722e0b0a763917b27fc92b4e91c992795aef6908

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Citations in the corpus

Extremum seeking from 1922 to 2010 (2010, background): “[150, 151], ( [80] describes the singular perturbation analysis technique).”
Stability Analysis of Nonlinear Time-Varying Systems by Lyapunov Functions with Indefinite Derivatives (2015, methodology): “, 4, 10, 17, 18] and the references therein). Lyapunov indirect approach, which is also know as the Lyapunov’s second approach, is a powerful tool for stability analysis and design of control systems [7]. By this method, if a positive deﬁnite function of the state can be found such that its time-der”
Lyapunov Theory for Discrete Time Systems (2018, background): “hich deals with discrete time Lyapunov theory, but is written in German, and so it is not easily accessible. The work has been obtained starting from the Lyapunov results for continuous time given in [1] and from the results contained in [2]. The work also contains some convergence results for parti”
Control Barrier Function Based Quadratic Programs for Safety Critical Systems (2016, unknown): “near system in companion form, driven by y_, y and r d. The model parameters a, b, C r, I zand v 0 are all positive, and hence the system is exponentially stable, and therefore input-to-state stable [41]. The term y_ is bounded by virtue of belonging to C LK and the term y is bounded by (LK-FC). Bec”
Leader-Based Optimal Coordination Control for the Consensus Problem of Multiagent Differential Games via Fuzzy Adaptive Dynamic Programming (2015, methodology): “σ 2 M i ) ,bθ˜ (31) or keik > v u u u t P j={N i,i} k((lij +bij) ⊗In)fej(t)k2 + 1 2a i ε¯2 i 2Γiλmin(Qii) −2(N¯i +1) ,be i (32) hold, then L˙ i < 0. Therefore, using Lyapunov-like theorem (see, [42] and [43]), it can conclude that the local consensus errors ei and weight estimation errors θ˜i ”
Applying the unscented Kalman filter for nonlinear state estimation (2008, background): “It is highly nonlinear and, depending on the direction of time, it can exhibit both stable and unstable limit cycles [12].”