Importance of event detection and nonlinear characterization of dynamical systems with discontinuity boundary.
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Linear fractional transformation for obtaining rational approximations to response of physical system defined by second order nonlinear differential equation with constant coefficients
Asymptotic and periodic behavior prediction for nonlinear control system with mathematical model of rigid body vehicle
Orbital motion in restricted three-body problem
Game theory for optimal parameter control of payload delivery by limited thrust engine space flight
Stochastic Liapunov functions and invariant set concept
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Invariance method for extending Liapunov function to distributed parameter system
Invariance principle on Banach space for generalized thermoelastic stability analysis
Multiparameter optimum damping for harmonically excited linear stable strictly dissipative n degrees of freedom system, locating multivariable saddle points
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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.
Statistical properties of transients distributed in multivariable control system performance
Matrix Riccati equations for optimization in control theory
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.
Linear transfer function for describing human response to aircraft control