Optimal Control Method for Microgrid Distributed Generation Based on Multi-Agent Adaptive Decision-Making. [PDF]
Mai H, Teng Q, Wang X.
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NMDA receptor kinetics drive distinct routes to chaotic firing in pyramidal neurons. [PDF]
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Simultaneous multi-controller fusion via genetic algorithm-optimized weighted summation for variable-speed wind turbine control. [PDF]
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A novel intelligent control using RBFNN-class topper optimization for stability enhancement in hybrid standalone microgrid. [PDF]
Myla AK, Gorantla SR.
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Prescribed Performance Attitude-Tracking Control for Rigid Satellite Under External Disturbance. [PDF]
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Exponential stabilization and finite time blow-up in a fractional thermal piezoelectric beam with delay. [PDF]
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Area Law for the Entanglement Entropy of Free Fermions in Nonrandom Ergodic Field. [PDF]
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Higher derivatives of Lyapunov functions and cone-valued Lyapunov functions
Nonlinear Analysis: Theory, Methods & Applications, 1996The authors are interested in the stability properties of the trivial solution of the system \(x'=f(t,x)\) and wish to use the higher derivatives of a single Lyapunov function to investigate them. If the resulting comparison system satisfies the required quasimonotone property, one can use a variant of the method of vector Lyapunov functions.
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We study asymptotic stability properties of nonlinear systems in the presence of “almost Lyapunov” functions which decrease along solutions in a given region not everywhere but rather on the complement of a set of small volume. Nothing specific about the structure of this set is assumed besides an upper bound on its volume.
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