Results 261 to 270 of about 10,239,244 (295)
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Stabilizability of Discrete-Time Nonlinear Systems
IMA Journal of Mathematical Control and Information, 1989Summary: This work deals with the property of stabilizing a nonlinear discrete- time control system to a specified equilibrium point by appropriate state feedback. For the most part, this paper presents Lyapunov-like sufficient conditions for stabilizability of discrete-time systems that are affine in control.
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Discrete and Continuous Nonlinear Schrödinger Systems
2003In recent years there have been important and far reaching developments in the study of nonlinear waves and a class of nonlinear wave equations which arise frequently in applications. The wide interest in this field comes from the understanding of special waves called 'solitons' and the associated development of a method of solution to a class of ...
M. J. ABLOWITZ +2 more
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Functional expansions for nonlinear discrete-time systems
Mathematical Systems Theory, 1988zbMATH Open Web Interface contents unavailable due to conflicting licenses.
MONACO, Salvatore, Normand Cyrot D.
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Nonlinear interactions in discrete systems
The 16th Annual Meeting of the IEEE Lasers and Electro-Optics Society, 2003. LEOS 2003., 2004We report our experimental and numerical investigation of nonlinear beam interactions in discrete waveguide arrays. We investigated the case of two parallel, copolarized beams interacting for different power levels and varying initial phase.
J. Meier +5 more
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A discrete-time adaptive nonlinear system
IEEE Transactions on Automatic Control, 1994A new least-squares estimator with nonlinear data weighting is developed and used to adaptively control a simple discrete-time nonlinear system. A global stability result is obtained through Lyapunov analysis without assuming any growth conditions on the nonlinearities. >
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On the integrability of nonlinear discrete systems
Journal of Physics A: Mathematical and General, 1980The matrix formulation of Flaschka is used to study the integrability of nonlinear N-particle systems of exponential type (e.g. Toda lattices, electric circuits of ladder type, Volterra systems). The asymptotic, i.e., N to infinity , behaviour of the normalised eigenvalue moments ( mu r'(N); r=0,1,...,N) of the N-dimensional L matrices, which are ...
Dehesa, Jesus S., Lallena, A.
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On the Genericity of the Observability of Uncontrolled Discrete Nonlinear Systems
SIAM Journal on Control and Optimization, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Cubic Nonlinear Discrete Systems
2020In this Chapter, the stability and stability switching of fixed-points in cubic polynomial discrete systems are discussed. As in Luo (2019), the monotonic upper-saddle-node and lower-saddle-node appearing and switching bifurcations are discussed and the third-order monotonic sink and source switching bifurcations are discussed as well.
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Quartic Nonlinear Discrete Systems
2020In this Chapter, the stability and bifurcation of the quartic nonlinear discrete systems will be ...
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Nonlinear Discrete Dynamical Systems
2001Most of the dynamics displayed by highly complicated nonlinear systems also appear for simple nonlinear systems. The reader is first introduced to the tent function, which is composed of two straight lines. The graphical method of iteration is introduced using this simple function since the constructions may be easily carried out with graph paper, rule,
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