On the stability of randomly sampled systems
Stability of randomly sampled linear systems studied by Liapunov function method
Kushner, H. J.↗
SEARCH · Engineering Papers
Results for “LIAPUNOV FUNCTION”
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.
Quote a phrase for an exact phrase match. Source license links do not imply unrestricted reuse.
Some sufficient conditions for the asymptotic stability of linear nonautonomous systems of the second order
Quadratic Liapunov function for asymptotic stability of linear systems of second order
Walker, J. A.↗
On the domain of asymptotic stability of nonlinear nonconservative systems.
Nonlinear nonconservative systems asymptotic stability analysis, emphasizing Zubov construction procedure for Liapunov functions
Dimantha, P. C.↗
Regions of exponential boundedness for the problem of Lur'e.
Exponential boundedness of system motion for Lure type forced systems, using quadratic Liapunov functions
Siljak, D.↗
The stability of distributed parameter systems.
Distributed parameter systems stability as internal and input-output property, describing Liapunov functionals construction
Willems, J. C.↗
Further development of an algorithm for the nonlinear stability analysis of the orbiting astronomical observatory paired-tracker control system Final report
Algorithm development for estimating domain of attraction of OAO paired-tracker equilibrium state with Liapunov functions
Chomas, A.↗
On the stability of randomly sampled systems
Randomly sampled linear systems stability with linear or nonlinear feedback loops, using stochastic Liapunov function method
Kushner, H. J.↗
Relay control of systems with parameter uncertainties and disturbances
Relay control design for model-tracking system with parameter uncertainties and disturbances using semidefinite Liapunov function
Lindorff, D. P.↗
Attitude stability of a gravity-stabilized gyrostat satellite
Gravity stabilized gyrostat satellite attitude motion stability, using three dimensional diagram and Liapunov functions
Crespo Da Silva, M. R. M.↗
An algorithm for Liapunov stability analysis of complex nonlinear systems with application to the Orbiting Astronomical Observatory
Optimal quadratic Liapunov function generating algorithm for estimating domain of equilibrium attraction of nonlinear star tracker attitude control systems for OAO stability
Chomas, A.↗
Development of an algorithm for the stability analysis of a nonlinear precision attitude control system
Nonlinear precision attitude control system stability analysis algorithm based on quadratic Liapunov function
Chomas, A.↗
An exact differential method to determine Liapunov stability
Liapunov function time derivative for autonomous system asymptotic stability tests by exact differential method
Rahman, M. A.↗
Stochastic stability
The field of stochastic stability is surveyed, with emphasis on the invariance theorems and their potential application to systems with randomly varying coefficients. Some of the basic ideas are reviewed, which underlie the stochastic Liapunov function approach to stochastic stability. The invariance theorems are discussed in detail.
Kushner, H. J.↗
Generalized invariance principles and the theory of stability.
Description of some recent extensions of the invariance principle to more generalized dynamical systems where the state space is not locally compact and the flow is unique only in the forward direction of time. A sufficient condition for asymptotic stability of an invariant set is obtained which does not require that the Liapunov function be positive-definite. A recently developed generalized invariance principle is described which is applicable to functional differential equations, partial differential equations, and, in particular, to certain stability problems arising in thermoelasticity, viscoelasticity, and distributed nonlinear networks.
Lasalle, J. P.↗
Absolute stability analysis of attitude control systems for large boosters.
A method for performing an absolute stability analysis of attitude control systems for large launch vehicles is presented. Absolute stability of these systems is shown to be of a limited extent. The regions of absolute stability are computed by using a quadratic Liapunov function. The function is chosen to provide additional information about the exponential property of absolute stability. A system model is used to illustrate the method.
Siljak, D. D.↗
Absolute stability analysis of attitude control systems for large boosters.
A method for performing absolute stability analyses of attitude control systems for large launch vehicles is presented. Absolute stability of these systems is shown in a finite region of the state space. The regions are computed by using the Lur'e-Postnikov Liapunov function. This function is chosen to provide additional information about the exponential property of absolute stability. Significant advantages of the method proposed in this paper are: it is independent of the order of the system; algebraic operations involved in the computations are relatively simple and convenient for machine implementation; and the obtained results are valid not only for a particular nonlinearity but also for an entire class of nonlinear characteristics that satisfy certain general conditions. A system model representing the Saturn V launch vehicle is used to illustrate the method.
Seltzer, S. M.↗
Stability of distributed parameter systems.
A theorem is derived for the stability of solutions of general linear partial differential equations. A norm of the state space in the form of multiple integrals over the spatial domain is used for the Liapunov functional. Theorems and lemmas are also given for linear time-invariant constant coefficient distributed parameter systems, a class of nonlinear distributed parameter systems and for others with a Lure-type nonlinearity. The theorem conditions are similar to those known for corresponding ordinary differential equations but with operators replacing matrices.
Park, K. E.↗
Regions of absolute ultimate boundedness for discrete-time systems.
This paper considers discrete-time systems of the Lur'e-Postnikov class where the linear part is not asymptotically stable and the nonlinear characteristic satisfies only partially the usual sector condition. Estimates of the resulting finite regions of absolute ultimate boundedness are calculated by means of a quadratic Liapunov function.
Siljak, D. D.↗