4 edition of Singularly perturbed and weakly coupled linear control systems found in the catalog.
Includes bibliographical references (p. 187-197) and index.
|Statement||Z. Gajić, D. Petkovski, X. Shen.|
|Series||Lecture notes in control and information sciences ;, 140|
|Contributions||Petkovski, D. 1949-, Shen, X. 1958-|
|LC Classifications||QA402.3 .G34 1990|
|The Physical Object|
|Pagination||vii, 202 p. :|
|Number of Pages||202|
|LC Control Number||90009555|
SIAM Journal on Control and Optimization , () Lipschitz properties of the attainable set of singularly perturbed linear systems. Systems & Control Letters , Singular perturbations in linear control systems with weakly coupled stable and unstable fast by: A technique different from the boundary layer method is developed to deal with singularly perturbed optimal control problems. The technique is applicable, in particular, in the case when the optimal control takes the form of “fast” oscillations and the boundary layer method cannot be by:
In mathematics, a singular perturbation problem is a problem containing a small parameter that cannot be approximated by setting the parameter value to zero. More precisely, the solution cannot be uniformly approximated by an asymptotic expansion ≈ ∑ = ()as →.Here is the small parameter of the problem and () are a sequence of functions of of increasing order, such as (). This study investigates Nash games for a class of multiparameter singularly perturbed stochastic systems governed by Itô’s differential equation with Markov jump parameters. First, in order to obtain Nash equilibrium strategies, cross-coupled stochastic algebraic Riccati equations (CSAREs) are formulated. Moreover, necessary condition for the existence of solution for CSAREs is also by: 5.
Looking for books by Zoran Gajic? See all books authored by Zoran Gajic, including Lyapunov Matrix Equation in System Stability and Control, and Linear Optimal Control of Bilinear Systems: With Applications to Singular Perturbations and Weak Coupling (Lecture Notes in Control and Information Sciences), and more on Optimal Control of Singularly Perturbed Linear Systems and Applications. Zoran Gajic. of 1 users. Singularly Perturbed And Weakly Coupled Linear Control Systems: A Recursive Approach. Zoran Gajic. of 1 users. Optimal Control: Weakly Coupled Systems and Applications.
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This book provides a comprehensive view of current developments in the theory of recursive reduced-order methods for singularly perturbed and weakly coupled linear control systems.
The recursive methods offer several advantages: high accuracy can easily be achieved at low cost. This book provides a comprehensive view of current developments in the theory of recursive reduced-order methods for singularly perturbed and weakly coupled linear control systems.
The. This book provides a comprehensive view of current developments in the theory of recursive reduced-order methods for singularly perturbed and weakly coupled linear control systems.
Rating: (not yet rated) 0 with reviews - Be the first. Singularly perturbed and weakly coupled linear control systems: a recursive approach. [Zoran Gajić; D Petkovski; X Shen] -- This book provides a comprehensive view of current developments in the theory of recursive reduced-order methods for singularly perturbed and weakly coupled linear control systems.
Even more, the structure of many systems with slow-fast phenomena and weak coupling can not be put either in the standard singularly perturbed or standard weakly coupled forms.
In this chapter, we study systems that are at the same time both singularly perturbed and weakly by: Weakly Coupled Systems and Applications. Author: Zoran Gajic,Myo-Taeg Lim,Dobrila Skataric,Wu-Chung Su,Vojislav Kecman. Publisher: CRC Press ISBN: Category: Technology & Engineering Page: View: DOWNLOAD NOW» Unique in scope, Optimal Control: Weakly Coupled Systems and Applications provides complete coverage of modern linear, bilinear, and nonlinear optimal control.
Optimal Control of Singularly Perturbed Linear Systems and Applications (Automation and Control Engineering) | Zoran Gajic | download | B–OK. Download books for free. Find books. The book also examines two special classes of bilinear-quadratic control problems: namely singularly perturbed and weakly coupled bilinear control systems.
The usefulness of the presented methods to these two types of control problem is demonstrated by several real control system examples. Table of contents (5 chapters). This book is intended for engineers, mathematicians, physicists, and com- puter scientists interested in control theory and its applications.
The book studies a special class of linear and bilinear control systems known as weakly coupled systems. Singularly perturbed linear control systems have been traditionally studied with one-vector input that controls both the slow and fast state variables.
Motivated by examples of real physical systems, in this paper we extend the study to corresponding two-vector input by: 5. Unique in scope, Optimal Control: Weakly Coupled Systems and Applications provides complete coverage of modern linear, bilinear, and nonlinear optimal control algorithms for both continuous-time and discrete-time weakly coupled systems, using deterministic as well as Cited by: Who should own this book.
Undoubtedly, any serious researcher in the area of optimal control of singularly perturbed systems. The rest of us would benefit from consulting it while attempting to design such a controller." - Automatica, Vol.
39, ".a valuable guide to the state of the art in engineering oriented control theory."Cited by: Parallel algorithms for solving coupled Riccati equations associated with weakly coupled and singularly perturbed linear jump parameter systems with M Cited by: Weak Convergence Methods and Singularly Perturbed Stochastic Control and Filtering Problems (Systems & Control: Foundations & Applications) [Harold Kushner] on *FREE* shipping on qualifying offers.
The book deals with several closely related topics concerning approxima tions and perturbations of random processes and their applications to some important and fascinating classes of. A coupled system of two singularly perturbed linear reaction-diffusion two-point boundary value problems is examined.
The leading term of each equation is multiplied by a small positive parameter. Fuchun Sun. This paper deals with the class of Markovian singularly perturbed linear continuous-time systems with time varying and mode-dependent time-delay. The stochastic stability and Hinfin performance and the Hinfin state feedback stabilization are tackled.
Weak Convergence Methods and Singularly Perturbed Stochastic Control and Filtering Problems Harold J. Kushner (auth.) The book deals with several closely related topics concerning approxima tions and perturbations of random processes and their applications to some important and fascinating classes of problems in the analysis and design of.
He has authored or co-authored over 40 journal papers and two books entitled Optimal Control of Singularly Perturbed Linear Systems and Application: High-Accuracy Techniques, Control Engineering Series (Marcel Dekker, NY, USA, ) and Optimal Control: Weakly Coupled Systems and Applications, Automation and Control Engineering Series (CRC.
In this paper, an initial value method for solving a weakly coupled system of two second-order singularly perturbed Convection–diffusion problems exhibiting a boundary layer at one end is proposed. In this approach, the approximate solution for the given problem is obtained by solving, a coupled system of initial value problem (namely, the reduced system), and two decoupled initial value Author: Wondwosen Gebeyaw Melesse, Awoke Andargie Tiruneh, Getachew Adamu Derese.
Khalil and Z. Gajic, “Near-optimum regulators for stochastic linear singularly perturbed systems,” IEEE Transactions on Automatic Control, Vol. AC, –, June T. Grodt and Z. Gajic, “The recursive reduced-order numerical solution of the singularly perturbed matrix differential Riccati equation,” IEEE Transactions on.
In 4 libraries. "Since the s, weakly coupled system control has become an extensive area of research. Assembling a team of leading experts in the field, Optimal Control: Weakly Coupled Systems and Applications uncovers new research and important discoveries in this burgeoning field." "Unique in scope, the book represents a comprehensive overview of the current state of knowledge of both.Singularly Perturbed And Weakly Coupled Linear Control Systems: A Recursive Approach it was ok avg rating — 1 rating — published — 2 editions/5(11).singularly perturbed coupled ODE-PDE system due to two time scales’ dynamics.
In the present paper we ﬁrst consider an ODE coupled with a fast linear hyperbolic system, which can be used to model the above setup.
The stability analysis shows that if the reduced and the boundary-layer subsystems are stable then the full system is by: 8.