1,721,054 research outputs found
New techniques for constructing asymptotic stability regions for nonlinear systems
No full textThe paper deals with the problem of the estimation of regions of asymptotic stability for continuous, autonomous, nonlinear systems. After an outline of the main approaches available in the literature, the “trajectory reversing method” is presented as a powerful numerical technique for low order systems. Then, an analytical procedure based on the same topological approach is developed, and a comparison is made with the classical Zubov method, noting the possibility of overcoming some of the classical method’s drawbacks (e.g., its nonuniform convergence). Several examples of applications of the “trajectory reversing method” both in the numerical and analytical formulation are reported. © 1984, IEEE. All rights reserved
Mathematical arc models: a stability approach to the reignition problem by Liapunov methods
No full textOn the limit cycles in feedback bilinear systems
No full textThe presence of limit cycles in feedback bilinear systems is investigated. Using a procedure quite similar to the sinusoidal describing function method, an approximable solution is derived. The existence and the uncertainty of an actual solution using techniques based on a continuation principle are then stated
Some results on theasymptotic stability of second order nonlinear systems
No full textThis note gives some stability results concerning second-order systems x = f(x), where f(x) contains either linear and quadratic or linear and cubic terms in x. Following a Lyapunov-like approach, a closed-form estimate for asymptotic stability regions of such systems is derived in terms of quadratic functions and then it is optimized with respect to its area. Some application examples show the good results of the proposed method, in comparison to those obtained by the classical numerica approaches. © 1984, IEEE. All rights reserved
Suboptimal Control with Incomplete State Feedback and Approximation by Simple models for Complex Systems
No full textQualitative analysis of mathematical arc models using Lyapunov theory
No full textAn approach is proposed to the study of the electric arc near current zero by means of mathematical models. The approach is based on Lyapunov's stability theory and allows a qualitative analysis of the nonlinear differential equations describing the phenomenon. The main results concern the determination of the set of conditions leading to arc extinction and their dependence on the physical parameters involved. The classical Mayr and Cassie models are studied using the method, and some numerical results are given. © 1982
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