Applications of Liapunov stability theory to control systems.
Liapunov stability theory applied to control system, noting stability of function and stochastic differential equations
LIAPUNOV FUNCTION↗
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Results for “differential equations”
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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Matrix quadratic solutions.
Matrix quadratic equation solution derivation applied in finding steady state solutions of Riccati differential equations with constant coefficients
OPTIMAL CONTROL↗
Contributions to linear system theory.
Linear dynamic systems governed by first-order linear differential equations in state variables, emphasizing time reversal and differential controllability
STATE EQUATION↗
Stability of free-convection boundary-layer flows
Stability of free convection boundary layer flow investigated by integration of disturbance differential equations
BOUNDARY LAYER FLOW↗
New one-step integration methods of high-order accuracy applied to some problems in celestial mechanics
One-step methods for numerical integration of initial value problems in ordinary differential equations applied to celestial mechanics
DIFFERENTIAL EQUATION↗
Liapunov criteria for weak stochastic stability.
Sufficient conditions for recurrence and positivity of diffusion process defined by stochastic differential equation, using Liapunov function
DIFFERENTIAL EQUATION↗
Stabilization of unstable two-point boundary value problems.
Stabilization of unstable two-point boundary value problems, noting field method for avoiding computer storage problems during integration of related differential equations
DIFFERENTIAL EQUATION↗
Liapunov's second method
Stability theorem based on Liapunov function, and using invariance property of limit sets of solutions to differential equations
THEOREM PROVING↗
A modern systems approach to signal design
Systems approach to signal design problems of radar and communication systems, using state variable differential equations and optimization techniques
DIFFERENTIAL EQUATION↗
Energy changes of cosmic rays in the solar system.
Energy changes between solar wind and cosmic rays, discussing particle motion description by Fokker- Planck differential equation
DIFFERENTIAL EQUATION↗
Nonseparable theory of electron-hydrogen scattering
Schroedinger equation for S-wave scattering of electrons from hydrogen expressed in partial differential equations
S-WAVE↗
Rational approximations to the generalized Duffing equation Final report, 15 Jan. - 1965 - 14 Jan. 1966
Linear transformation to obtain rational approximation to response of physical system described by nonlinear differential equation including Duffing equation as special case
NONLINEAR EQUATION↗
On the method of successive approximations <o metode posledovatel'nykh priblizheniy<
Successive approximation method for solution to differential equation system
DIFFERENTIAL EQUATION↗
A new method for the mathematical analysis of certain nonlinear vibrations <ein neues verfahren zur mathematischen behandlung gewisser nichtlinearer schwingungen<
Periodic solution to differential equations for nonlinear vibration system
VIBRATION↗
Characterization and compensation of quantization errors in hybrid computer systems.
Error analysis and control of analog computer oriented hybrid systems, particularly hybrid computers treating differential equations
HYBRID COMPUTER↗
A class of hybrid-state continuous-time dynamic systems.
Optimal control and dynamics of class of hybrid state continuous time systems described by differential equations combined with multistable element
DIFFERENTIAL EQUATION↗
Remarks on a Paper of Leighton
Counterexamples to theorems for zeros of solutions of second order linear differential equations
DIFFERENTIAL EQUATION↗
On the stability of some linear nonautonomous systems
Stability of linear nonautonomous systems described by differential equations with time varying coefficients
DIFFERENTIAL EQUATION↗