Balakrishnan, A. V.
Overview
Works:  137 works in 624 publications in 6 languages and 10,110 library holdings 

Genres:  Conference papers and proceedings Periodicals 
Roles:  Author, Editor, Other, Creator 
Classifications:  QA402.3, 629.8312 
Publication Timeline
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Most widely held works about
A. V Balakrishnan
 The proceedings of the First International Conference on Advances in Communication & Control Systems : June 1820, 1987, Washington, D.C. by COMCON( Book )
Most widely held works by
A. V Balakrishnan
Applied functional analysis by
A. V Balakrishnan(
Book
)
33 editions published between 1976 and 1992 in 5 languages and held by 778 WorldCat member libraries worldwide
33 editions published between 1976 and 1992 in 5 languages and held by 778 WorldCat member libraries worldwide
Stochastic differential systems by
A. V Balakrishnan(
Book
)
57 editions published between 1973 and 1981 in 3 languages and held by 609 WorldCat member libraries worldwide
This book is an outgrowth of a graduate course by the same title given at UCLA (System Science Department). presenting a Functional Analysis approach to Stochastic Filtering and Control Problems. As the writing progressed. several new points of view were developed and as a result the present work is more in the nature of a monograph on the subject than a distilled compendium of extant works. The subject of this volume is at the heart of the most used part of modern Control Theory  indeed. the breadandbutter part. It includes the Linear (BucyKalman) Filter Theory. the Feedback Control (regulation and trz.cking) Theory for plants with random disturbances. and Stochastic DifEerential Games. Linear Filter Theory is developed by a 3Martingale approach and is perhaps the sleekest one to date. We hasten to add that although the terITlS are Engineeringoriented. and a background in Control Engineering is essential to understand the motiva tion. the work is totally mathematical. and in fact our aim is a rigorous mathematical presentation that is at once systematic. We begin with some preliminary necessary notions relating to Stochastic Processes. We follow Parthasarathy's work in inducing Wiener measure on the Banach Space of Continuous functions. We introduce the linear Stochastic integrals right away. We are then ready to treat linear Stochastic Differential Equations. We then look at the measures induced
57 editions published between 1973 and 1981 in 3 languages and held by 609 WorldCat member libraries worldwide
This book is an outgrowth of a graduate course by the same title given at UCLA (System Science Department). presenting a Functional Analysis approach to Stochastic Filtering and Control Problems. As the writing progressed. several new points of view were developed and as a result the present work is more in the nature of a monograph on the subject than a distilled compendium of extant works. The subject of this volume is at the heart of the most used part of modern Control Theory  indeed. the breadandbutter part. It includes the Linear (BucyKalman) Filter Theory. the Feedback Control (regulation and trz.cking) Theory for plants with random disturbances. and Stochastic DifEerential Games. Linear Filter Theory is developed by a 3Martingale approach and is perhaps the sleekest one to date. We hasten to add that although the terITlS are Engineeringoriented. and a background in Control Engineering is essential to understand the motiva tion. the work is totally mathematical. and in fact our aim is a rigorous mathematical presentation that is at once systematic. We begin with some preliminary necessary notions relating to Stochastic Processes. We follow Parthasarathy's work in inducing Wiener measure on the Banach Space of Continuous functions. We introduce the linear Stochastic integrals right away. We are then ready to treat linear Stochastic Differential Equations. We then look at the measures induced
Symposium on optimization, held in Nice, June 29th  July 5th, 1969; [proceedings] by
Symposium on Optimization(
Book
)
41 editions published between 1960 and 2008 in 5 languages and held by 469 WorldCat member libraries worldwide
41 editions published between 1960 and 2008 in 5 languages and held by 469 WorldCat member libraries worldwide
Mathematical theory of control; proceedings of a conference held at the University of Southern California, Los Angeles, January
30February 1, 1967 by Conference on the Mathematical Theory of Control(
Book
)
17 editions published in 1967 in English and held by 415 WorldCat member libraries worldwide
17 editions published in 1967 in English and held by 415 WorldCat member libraries worldwide
Control theory and the calculus of variations by
A. V Balakrishnan(
Book
)
26 editions published in 1969 in English and Undetermined and held by 414 WorldCat member libraries worldwide
Quadratic variational theory; Stochastic functional equations: continuity properties and relation to ordinary equations; Partial regularity theorems for elliptic systems; Strengthening caratheodory's method to apply in control problems; Optimal control problems as mathematical programming in an unorthodox function space; Controlled diffusions under polynomial growth conditions; Separation and support properties of convex sets  a survey; Some nonclassical variational problems arising from optimal filter problems; A new existence theorem in the class of piecewise continuous control functions; The epsilon technique  a constructive approach to optimal control; Lagrange multipliers revisited
26 editions published in 1969 in English and Undetermined and held by 414 WorldCat member libraries worldwide
Quadratic variational theory; Stochastic functional equations: continuity properties and relation to ordinary equations; Partial regularity theorems for elliptic systems; Strengthening caratheodory's method to apply in control problems; Optimal control problems as mathematical programming in an unorthodox function space; Controlled diffusions under polynomial growth conditions; Separation and support properties of convex sets  a survey; Some nonclassical variational problems arising from optimal filter problems; A new existence theorem in the class of piecewise continuous control functions; The epsilon technique  a constructive approach to optimal control; Lagrange multipliers revisited
Kalman filtering theory by
A. V Balakrishnan(
Book
)
26 editions published between 1984 and 1988 in 3 languages and held by 406 WorldCat member libraries worldwide
26 editions published between 1984 and 1988 in 3 languages and held by 406 WorldCat member libraries worldwide
Techniques of optimization; [papers] by
Colloquium on Optimization Techniques(
Book
)
33 editions published between 1971 and 1972 in English and Undetermined and held by 397 WorldCat member libraries worldwide
33 editions published between 1971 and 1972 in English and Undetermined and held by 397 WorldCat member libraries worldwide
Communication theory by
A. V Balakrishnan(
Book
)
14 editions published between 1967 and 1968 in 3 languages and held by 395 WorldCat member libraries worldwide
14 editions published between 1967 and 1968 in 3 languages and held by 395 WorldCat member libraries worldwide
Computing methods in optimization problems : proceedings by
A. V Balakrishnan(
Book
)
11 editions published between 1964 and 2014 in English and Undetermined and held by 374 WorldCat member libraries worldwide
Computing Methods in Optimization Problems
11 editions published between 1964 and 2014 in English and Undetermined and held by 374 WorldCat member libraries worldwide
Computing Methods in Optimization Problems
Introduction to optimization theory in a Hilbert space by
A. V Balakrishnan(
Book
)
23 editions published between 1970 and 1974 in 4 languages and held by 372 WorldCat member libraries worldwide
Lecture notes on an introduction to optimization theory in a Hilbert space was given at UCLA in a one quarter course. The goal is to present basic concepts and techniques of functional analysis of relevance to optimization problems in control, communications and other areas in system sciences. (Author)
23 editions published between 1970 and 1974 in 4 languages and held by 372 WorldCat member libraries worldwide
Lecture notes on an introduction to optimization theory in a Hilbert space was given at UCLA in a one quarter course. The goal is to present basic concepts and techniques of functional analysis of relevance to optimization problems in control, communications and other areas in system sciences. (Author)
Computing methods in optimization problems, 2; papers by
Lotfi A Zadeh(
Book
)
20 editions published in 1969 in English and Undetermined and held by 331 WorldCat member libraries worldwide
20 editions published in 1969 in English and Undetermined and held by 331 WorldCat member libraries worldwide
Controlled diffusion processes by
N. V Krylov(
Book
)
6 editions published between 1979 and 2009 in English and held by 268 WorldCat member libraries worldwide
This book deals with the optimal control of solutions of fully observable Itôtype stochastic differential equations. The validity of the Bellman differential equation for payoff functions is proved and rules for optimal control strategies are developed. Topics include optimal stopping; one dimensional controlled diffusion; the Lpestimates of stochastic integral distributions; the existence theorem for stochastic equations; the Itô formula for functions; and the Bellman principle, equation, and normalized equation
6 editions published between 1979 and 2009 in English and held by 268 WorldCat member libraries worldwide
This book deals with the optimal control of solutions of fully observable Itôtype stochastic differential equations. The validity of the Bellman differential equation for payoff functions is proved and rules for optimal control strategies are developed. Topics include optimal stopping; one dimensional controlled diffusion; the Lpestimates of stochastic integral distributions; the existence theorem for stochastic equations; the Itô formula for functions; and the Bellman principle, equation, and normalized equation
Spectral theory of random fields by
M. I I︠A︡drenko(
Book
)
5 editions published in 1983 in English and held by 260 WorldCat member libraries worldwide
5 editions published in 1983 in English and held by 260 WorldCat member libraries worldwide
Advances in probability theory : limit theorems & related problems by
A. A Borovkov(
Book
)
6 editions published in 1984 in English and held by 247 WorldCat member libraries worldwide
6 editions published in 1984 in English and held by 247 WorldCat member libraries worldwide
Space communications by
A. V Balakrishnan(
Book
)
8 editions published in 1963 in English and Undetermined and held by 245 WorldCat member libraries worldwide
Based on a series of lectures given under the auspices of the U.C.L.A. Extension Division in 1961. Each chapter has been written by an expert in the field
8 editions published in 1963 in English and Undetermined and held by 245 WorldCat member libraries worldwide
Based on a series of lectures given under the auspices of the U.C.L.A. Extension Division in 1961. Each chapter has been written by an expert in the field
Mathematical theory of control : proceedings of the international conference by
A. V Balakrishnan(
Book
)
20 editions published between 1967 and 1993 in English and Undetermined and held by 233 WorldCat member libraries worldwide
Offers an authoritative overview of the most recent developments in control theory and provides practical examples of effective interaction on topics of common interest to the fields of mathematics and control engineering. Stochastic control and white noise analysis are among the topics discussed
20 editions published between 1967 and 1993 in English and Undetermined and held by 233 WorldCat member libraries worldwide
Offers an authoritative overview of the most recent developments in control theory and provides practical examples of effective interaction on topics of common interest to the fields of mathematics and control engineering. Stochastic control and white noise analysis are among the topics discussed
Introduction to random processes in engineering by
A. V Balakrishnan(
Book
)
12 editions published between 1995 and 2005 in English and held by 224 WorldCat member libraries worldwide
12 editions published between 1995 and 2005 in English and held by 224 WorldCat member libraries worldwide
Elements of state space theory of systems by
A. V Balakrishnan(
Book
)
9 editions published between 1983 and 1984 in English and held by 215 WorldCat member libraries worldwide
9 editions published between 1983 and 1984 in English and held by 215 WorldCat member libraries worldwide
Aeroelasticity : the continuum theory by
A. V Balakrishnan(
Book
)
10 editions published in 2012 in English and held by 41 WorldCat member libraries worldwide
The author's approach is one of continuum models of the aerodynamic flow interacting with a flexible structure whose behavior is governed by partial differential equations. Both linear and nonlinear models are considered although much of the book is concerned with the former while keeping the latter clearly in view. A complete chapter is also devoted to nonlinear theory. The author has provided new insights into the classical inviscid aerodynamics and raises novel and interesting questions on fundamental issues that have too often been neglected or forgotten in the development of the early history of the subject. The author contrasts his approach with discrete models for the unsteady aerodynamic flow and the finite element model for the structure. Much of the aeroelasticity has been developed with applications formerly in¡mind because of its enormous consequences for the safety of aircraft. Aeroelastic instabilities such as divergence and flutter and aeroelastic responses to gusts can pose a significant hazard to the aircraft and impact its performance. Yet, it is now recognized that there are many other physical phenomena that have similar characteristics ranging from flows around flexible tall buildings and long span bridges, alternate energy sources such as electric power generation by smart structures to flows internal to the human body. ¡From the foreword: ¡"For the theorist and applied mathematician who wishes an introduction to this fascinating subject as well as for the experienced aeroelastician who is open to new challenges and a fresh viewpoint, this book and its author have much to offer the reader." Earl Dowell, Duke University, USA
10 editions published in 2012 in English and held by 41 WorldCat member libraries worldwide
The author's approach is one of continuum models of the aerodynamic flow interacting with a flexible structure whose behavior is governed by partial differential equations. Both linear and nonlinear models are considered although much of the book is concerned with the former while keeping the latter clearly in view. A complete chapter is also devoted to nonlinear theory. The author has provided new insights into the classical inviscid aerodynamics and raises novel and interesting questions on fundamental issues that have too often been neglected or forgotten in the development of the early history of the subject. The author contrasts his approach with discrete models for the unsteady aerodynamic flow and the finite element model for the structure. Much of the aeroelasticity has been developed with applications formerly in¡mind because of its enormous consequences for the safety of aircraft. Aeroelastic instabilities such as divergence and flutter and aeroelastic responses to gusts can pose a significant hazard to the aircraft and impact its performance. Yet, it is now recognized that there are many other physical phenomena that have similar characteristics ranging from flows around flexible tall buildings and long span bridges, alternate energy sources such as electric power generation by smart structures to flows internal to the human body. ¡From the foreword: ¡"For the theorist and applied mathematician who wishes an introduction to this fascinating subject as well as for the experienced aeroelastician who is open to new challenges and a fresh viewpoint, this book and its author have much to offer the reader." Earl Dowell, Duke University, USA
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Related Identities
 Neustadt, Lucien W. Editor
 University of Southern California
 Joshi, Mohan C. Other Editor
 Borovkov, Aleksandr Alekseevich Author Editor
 Zadeh, Lotfi A. (Lotfi Asker) Author Editor
 Arató, M. (Mátyás) 1931 Author Editor
 Vermes, D. Editor
 IFIP TC7 (Organization)
 Society for Industrial and Applied Mathematics
 Krylov, N. V. (Nikolaĭ Vladimirovich) Author
Useful Links
Associated Subjects
AeroelasticityMathematical models AstronauticsCommunication systems Balakrishnan, A. V Calculus of variations Computer science Control theory Differentiable dynamical systems Differential equations, Partial Differential games Diffusion processes Distribution (Probability theory) Economics Electronic digital computers Engineering Engineering design Engineering mathematics EngineeringStatistical methods Estimation theory Filters (Mathematics) Functional analysis Function spaces Hilbert space Information theory Kalman filtering Limit theorems (Probability theory) Materials Mathematical optimization Mathematics Mechanics Numerical analysis Numerical calculations Random fields Signal processing Spectral theory (Mathematics) Statespace methods Statistical communication theory Stochastic control theory Stochastic differential equations Stochastic processes Stochastic systems System analysis Telecommunication
Alternative Names
A.V. Balakrishnan American mathematician
A.V. Balakrishnan Amerikaans wiskundige
A.V. Balakrishnan matemático estadounidense
Balakrishnan, A. V. 1929...
Balakrishnan, Alampallam
Balakrishnan, Alampallam V.
Balakrishnan, Alampallam Venkatachalaiyer
Balakrishnan, Alampallam Venkatachalaiyer 1929
Balakrišnan, A.
Balakrišnan, A. 1929
Balakrišnan, A. V.
Balakrišnan, A. V. 1929
Балакришнан, А
Балакришнан, А. (А. В.)
Балакришнан, А. В.
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