Engineering topics
Publications and source records attributed to Siljak, D. D..
The problem of selecting a regulator vector which yields the largest estimate of the region of exponential absolute stability is considered. Reformulation of an extended version of the Popov frequency condition in terms of a nonnegative polynomial gives the desired algorithm in mathematical programming format.
A new sufficient condition is formulated for the Lur'e type nonlinear continuous system to be exponentially absolutely stable. The condition relaxes the assumptions on the nonlinear characteristic by modifying the requirements on the linear part of the system.
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.
A unified computer-aided method for the design of linear and nonlinear regulators is discussed. The general mathematical programming approach considered involves the determination of a vector that solves the problem of minimizing the objective function subject to constraints. Classical design problems stated are related to stability design, dominant mode design, and comprehensive design. A computer algorithm is also developed.
A large-scale system is considered as a system constituted of subsystems which may be connected or disconnected from each other during operation. A new notion of connective stability is introduced by which a large-scale system is regarded as stable if it remains stable (in the sense of Liapunov) under structural perturbations produced by the on-off participation of the subsystems. Algebraic conditions are developed that guarantee exponential connective stability in large-scale systems which may be composed of linear and nonlinear subsystems coupled by linear or nonlinear connections.
The purpose of this paper is to present the results obtained in stability study of large-scale systems based upon the comparison principle and vector Liapunov functions. The exposition is essentially self-contained, with emphasis on recent innovations which utilize explicit information about the system structure. This provides a natural foundation for the stability theory of dynamic systems under structural perturbations.
Exponential absolute stability of nonlinear discrete systems of Lure type, deriving modified frequency condition
Absolute stability analysis of attitude control systems for large launch vehicles
Algebraic criterion for positive realness of rational functions, using Routh algorithm
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.
Necessary and sufficient conditions on coefficients of real nonnegative polynomial pi/omega/, obtaining algebraic criterion for stability, optimality and passivity of dynamic linear systems
Computerized Pontryagin stability analysis of nonlinear multiple delay systems
Nonlinear discrete systems absolute stability exponential property proved by modified frequency condition, applying analog transformation to Szego-Kalman equations
Algebraic methods for analysis and design of control systems
Book on nonlinear systems analysis and design covering parameter mapping, symmetrical, transient and forced oscillations and stability analysis
Linear closed loop control system poorly damped response to deterministic inputs improved by stability constraint for minimization of mean squared error
Digital computer programs and algebraic techniques applied to nonlinear feedback control systems
Algebraic methods for application to dynamic control systems