Non-intrusive reduced-order modeling for dynamical systems with spatially localized features
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Leonidas Gkimisis↗
SEARCH · Engineering Papers
Results for “dynamic system”
Search indexed NASA NTRS and DOE OSTI research on propulsion, heat transfer, battery materials and energy systems. Follow report and document links to the original sources.
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Rational approximation to the response of a dynamic system described by a nonlinear differential equation final report, 15 jan. 1964 - 14 jan. 1965
Linear fractional transformation for obtaining rational approximations to response of physical system defined by second order nonlinear differential equation with constant coefficients
LINEAR TRANSFORMATION↗
The determination of asymptotic and periodic behavior of dynamic systems arising in control system analysis Final report
Asymptotic and periodic behavior prediction for nonlinear control system with mathematical model of rigid body vehicle
CONTROL SYSTEM↗
On an irreversible dynamical system with two degrees of freedom - The restricted problem of three bodies
Orbital motion in restricted three-body problem
THREE-BODY PROBLEM↗
Game approach to the problem of selecting optimal parameters of a dynamic system
Game theory for optimal parameter control of payload delivery by limited thrust engine space flight
THRUST EFFECT↗
The concept of invariant set for stochastic dynamical systems, and applications to stochastic stability
Stochastic Liapunov functions and invariant set concept
Kushner, H. J.↗
Theory of differential equations and their relationship to dynamical systems theory progress report, 1 oct. 1967 - 31 mar. 1968
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Lasalle, J. P.↗
An invariance principle for dynamical systems in Hilbert spaces
Invariance method for extending Liapunov function to distributed parameter system
Infante, E. F.↗
An invariance principle for dynamical systems on Banach space - Application to the general problem of thermoelastic stability
Invariance principle on Banach space for generalized thermoelastic stability analysis
Infante, E. F.↗
Multi-parameter optimum in linear dynamical systems.
Multiparameter optimum damping for harmonically excited linear stable strictly dissipative n degrees of freedom system, locating multivariable saddle points
Mcmunn, J. C.↗
Vehicle control and control system dynamic characteristics J 2S improvement study
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The determination of stability domains for nonlinear dynamical systems
Research effort is described which is directed toward several aspects of the stability problem pertinent to the analysis of space vehicle guidance systems. Problems encountered during this study are mentioned.
Abbate, J. V.↗
Determination of inertial disturbance in multivariable dynamic systems during performance
Statistical properties of transients distributed in multivariable control system performance
Gelfandbein, Ya. A.↗
Notes on decision, control, and dynamical systems
Matrix Riccati equations for optimization in control theory
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Approximate properties of the response of nonlinear dynamic systems to stochastic inputs
Indirect method considers effect of nonlinearity and obtains approximate probability densities of certain characteristics, from these densities various statistical properties are calculated. Direct method determines response moments directly. Neither method is restricted by system motion with regard to whether or not it is stationary.
Zirkle, L. D.↗
Human response in closed loop control of dynamic systems
Linear transfer function for describing human response to aircraft control
Adams, J. J.↗
Boundedness regions of discrete-time dynamic systems
Techniques for obtaining quantitative information about boundedness properties are developed and applied to the sampled-data control of satellite attitude with quantization. Relevant stability concepts are introduced as a series of definitions, and interrelationships between various definitions are discussed. The boundedness regions are estimated by means of quadratic Liapunov functions, and a sufficient condition for the existence of a boundedness region is given for a certain class of systems. A quadratic Liapunov function is applied to the Lur'e-Postinkov class of systems, where the linear part of the system is not asymptotically stable and the quantizer represents the nonlinear characteristic. A numerical calculation of the region of boundedness estimates is performed for satellite attitude control and is compared with simulation results. It is tentatively concluded that the Liapunov results may be good and that simulation results may be difficult to interpret and time-consuming to generate. The Lur'e-based technique yields estimates of regions of absolute boundedness, but at the cost of greater analytical complexity.
Siljak, D.↗
Liapunov stability analysis of hybrid dynamical systems with multi-elastic domains.
This paper presents a Liapunov stability theory applicable to hybrid systems with multi-elastic domains. The mathematical formulation consists of a simultaneous set of ordinary and partial differential equations. A new stability theorem, particularly suited to such hybrid systems, is introduced. To predict the system stability by means of the theorem, it is necessary to construct a functional k, where k is free of spatial derivatives and bounding the Hamiltonian H from below. The conditions under which the construction of such a functional is possible are shown. As an application of the theory, the attitude stability of an earth-pointing satellite with multi-elastic domains is investigated and closed-form stability criteria derived.
Meirovitch, L.↗