A. V. Balakrishnan

A. V. Balakrishnan's AcademicInfluence.com Rankings

A. V. Balakrishnan

Mathematics

#4670

World Rank

#6612

Historical Rank

#1593

USA Rank

Measure Theory

#638

World Rank

#875

Historical Rank

#259

USA Rank

mathematics Degrees

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Mathematics

A. V. Balakrishnan's Degrees

PhD Mathematics University of California, Berkeley
Masters Mathematics University of California, Berkeley

Why Is A. V. Balakrishnan Influential?

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According to Wikipedia, Alampallam Venkatachalaiyer Balakrishnan was an American applied mathematician and professor at the University of California, Los Angeles. Education and career Balakrishnan grew up in Chennai, India, and entered the University of Madras in the early 1940s. While there he earned a scholarship from the Indian government to study in the United States and learn to produce documentaries. Upon arriving at the University of Southern California, known for its film school, he initially wanted to become a sound engineer on Hollywood films. At the time, he was unable to get a position because he was not a member of any of the guilds, which controlled who was able to get a jobs. Therefore, after earning his first master's degree in cinema in 1949, he switched to electrical engineering. Balakrishnan received his M.S. in electrical engineering and his Ph.D. in mathematics from the University of Southern California in 1950 and 1954, respectively.

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A. V. Balakrishnan's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Applied Functional Analysis (1976) (1063)
Fractional powers of closed operators and the semigroups generated by them. (1960) (391)
Stability of Adaptive Controllers (1979) (330)
Thermal radiation by combustion gases (1973) (231)
Spectral theory of random fields (1983) (227)
Stochastic differential systems (1973) (214)
Kalman Filtering Theory (1984) (166)
A note on the sampling principle for continuous signals (1957) (138)
On the problem of time jitter in sampling (1962) (87)
Optimal Control Problems in Banach Spaces (1965) (85)
Computing Methods in Optimization Problems (1965) (78)
On a new computing technique in optimal control theory and the maximum principle. (1968) (78)
Identification in automatic control systems (1969) (67)
Compensator design for stability enhancement with collocated controllers (1991) (61)
Introduction to Optimization Theory in a Hilbert Space (1971) (60)
An operational calculus for infinitesimal generators of semigroups. (1959) (53)
Settlement, Sliding, and Liquefaction Remediation of Layered Soil (1999) (53)
A contribution to the sphere-packing problem of communication theory (1961) (51)
Methods of optimization (1988) (50)
State Estimation for Infinite-Dimensional Systems (1967) (48)
A mathematical problem and a Spacecraft Control Laboratory Experiment (SCOLE) used to evaluate control laws for flexible spacecraft. NASA/IEEE design challenge (1984) (47)
Aeroelasticity: The Continuum Theory (2012) (41)
Introduction to Random Processes in Engineering (1995) (38)
Semigroups of Linear Operators (1981) (36)
On stochastic bang bang control (1980) (34)
A general theory of nonlinear estimation problems in control systems (1964) (33)
Analytical and design study for a high-pressure, high-enthalpy constricted arc heater (1975) (33)
Stochastic Bilinear Partial Differential Equations (1975) (33)
Ablation of Galileo Probe heat-shield models in a ballistic range (1985) (33)
Real-gas flowfields about three-dimensional configurations (1985) (30)
Slab band absorptance for molecular gas radiation (1972) (30)
Strong stabilizability and the steady state Riccati equation (1981) (29)
On a new computing technique in optimal control and its application to minimal-time flight profile optimization (1969) (29)
Effects of Layer Thickness and Density on Settlement and Lateral Spreading (2004) (28)
Identification and Stochastic Control of a Class of Distributed Systems with Boundary Noise (1975) (27)
Possio Integral Equation of Aeroelasticity Theory (2003) (27)
Subsonic flutter suppression using self-straining actuators (2001) (26)
Estimation and detection theory for multiple stochastic processes (1960) (25)
Superstability of systems (2005) (25)
On a characterization of processes for which optimal mean-square systems are of specified form (1960) (25)
Nongray radiative transfer in a turbulent gas layer (1973) (24)
Computing methods in optimization problems-2 (1969) (24)
Continuum Aeroelastic Model for Inviscid Subsonic Bending-Torsion Wing Flutter (2007) (23)
Liquefaction remediation at a bridge site (2000) (23)
Calculation of the transient motion of elastic airfoils forced by control surface motion and gusts (1980) (22)
Asymptotic behaviour of the aeroelastic modes for an aircraft wing model in a subsonic air flow (2004) (21)
Radon-Nikodym derivatives of a class of weak distributions on Hilbert spaces (1976) (21)
Stochastic optimization theory in Hilbert spaces—1 (1974) (20)
Signal design for a class of clutter channels (Corresp.) (1968) (20)
On the Approximation of Ito Integrals Using Band-Limited Processes (1974) (20)
Dynamics and Control of Articulated Anisotropic Timoshenko Beams (1996) (20)
Likelihood ratios for signals in additive white noise (1976) (19)
A Computational Approach to the Maximum Principle (1971) (19)
On the controllability of a nonlinear system. (1966) (18)
A mathematical formulation of the Scole control problem, part 1 (1985) (18)
Aeroelastic control with self-straining actuators: continuum models (1998) (17)
Radiometer experiment for the aeroassist flight experiment (1985) (17)
Asymptotic and spectral properties of operator‐valued functions generated by aircraft wing model (2004) (17)
Active control of airfoils in unsteady aerodynamics (1977) (17)
Galileo probe forebody thermal protection - Benchmark heating environment calculations (1981) (17)
Control theory and the calculus of variations (1969) (17)
Radiative viscous-shock-layer analysis of Fire, Apollo, and PAET flight data (1985) (17)
Theoretical limits of damping attainable by smart beams with rate feedback (1997) (16)
Molecular gas radiation in the thermal entrance region of a duct (1979) (16)
EXPERIMENTAL AND ANALYTICAL DERIVATION OF ARC-HEATER SCALING LAWS FOR SIMULATING HIGH-ENTHALPY ENVIRONMENTS FOR AEROASSISTED ORBITAL TRANSFER VEHICLE APPLICATION (1985) (15)
Spectral analysis of coupled Euler‐Bernoulli and Timoshenko beam model (2004) (15)
Advances in communication systems : theory and applications (1965) (15)
On a generalization of the Kalman-Yakubovic lemma (1995) (15)
The SCOLE design challenge (1987) (14)
Identification and adaptive control: An application to flight control systems (1972) (14)
Transonic Small Disturbance Potential Equation (2004) (13)
Vibrating Systems with Singular Mass-Inertia Matrices (1996) (12)
Error Rates in Coherent Communication Systems (1962) (12)
Stochastic Control: A Function Space Approach (1972) (12)
Unsteady Aerodynamics - Subsonic Compressible Inviscid Case (1999) (12)
A Martingale Approach to Linear Recursive State Estimation (1972) (12)
Self-absorption of radiation in turbulent molecular gases (1973) (11)
A mathematical formulation of a large space structure control problem (1985) (11)
Foundations of the State-Space Theory of Continous Systems I (1967) (11)
Power-Law Solutions for Evaporation From a Finned Surface (1974) (10)
Shape control of plates with piezo actuators and collocated position / rate sensors (1994) (10)
Radiative flame cooling for reduction of nitric oxide emissions (1974) (10)
Flutter analysis of an articulated high aspect ratio wing in subsonic airflow (2014) (10)
Damping operators in continuum models of flexible structures: Explicit models for proportional damping in beam bending with end-bodies (1990) (10)
Compensator design for stability enhancement with collocated controllers: explicit solutions (1993) (10)
Procedures from International Guidelines for Assessing Seismic Risk to Flood-Control Levees (2017) (9)
On the state space theory of linear systems (1966) (9)
On optimum non-linear extraction and coding filters (1956) (9)
Nonlinear Aeroelasticity: Continuum Theory, Flutter/Divergence Speed, and Plate Wing Model (2006) (9)
A New Computing Technique in System Identification (1968) (9)
Combined structures-controls optimization of lattice trusses (1992) (8)
Nonlinear Aeroelasticity: The Steady State Theory (2008) (8)
Advances in probability theory : limit theorems for sums of random variables (1985) (8)
Computing methods in optimization problems : proceedings of a conference held at University of California, Los Angeles, January 30-31, 1964 (1964) (8)
Abstract Cauchy problems of the elliptic type (1958) (8)
Linear Stochastic Control (1973) (8)
Damping operators in continuum models of flexible structures: explicit models for proportional damping in beam torsion (1990) (8)
Identification — Inverse Problems for Partial Differential Equations: A Stochastic Formulation (1974) (7)
Viscous real gas flowfields about three dimensional configurations (1983) (7)
Stochastic regulator theory for a class of abstract wave equations (1991) (7)
Generalization of the Wittrick-Williams Formula for Counting Modes of Flexible Structures (1995) (7)
A development of minimal time-change detection algorithm (mt-cda) in system parameters and its application to flight systems (1993) (7)
Application of a flux-split algorithm to chemically relaxing, hypervelocity blunt-body flows (1987) (7)
Filtering and Control Problems for Partial Differential Equations. (1976) (7)
On Powers of Gaussian White Noise (2010) (7)
Essentially band-limited stochastic processes (Corresp.) (1965) (7)
Some nonlinear damping models in flexible structures (1988) (7)
Improvements in aircraft extraction programs (1976) (6)
Methods for the analysis of high-pressure, high-enthalpy constricted arc heaters (1975) (6)
Reduction of Boundary Value Problem to Possio Integral Equation in Theoretical Aeroelasticity (2008) (6)
Identification of human response models in manual control systems (1967) (6)
Computation of a viscous real gas flowfield for the Space Shuttle orbiter (1984) (6)
A note on the structure of optimal stochastic controls (1975) (6)
The Possio Integral Equation of Aeroelasticity: A Modern View (2005) (6)
Elements of state space theory of systems (1983) (6)
A random Schroedinger equation: white noise model (1988) (6)
Lack of generation of strongly continuous semigroups by the damped wave operator on H x H (or: The little engine that couldn't) (1993) (6)
On a class of nonlinear estimation problems (1964) (6)
“STOCHASTIC FILTERING AND CONTROL OF LINEAR SYSTEMS: A GENERAL THEORY” (1977) (5)
Representation of abstract Riesz potentials of the elliptic type (1958) (5)
Identification of Systems Subject to Random State Disturbance (1973) (5)
Parameter Estimation in Stochastic Differential Systems: Theory and Application (1978) (5)
Aerothermodynamic environment for a Titan probe with deployable decelerator (1985) (5)
On a class of Riccati equations in a Hilbert space (1981) (5)
Modeling Response of Flexible High-Aspect-Ratio Wings to Wind Turbulence (2006) (5)
Combined structures-controls-integrated optimization using distributed parameter models (1991) (5)
Compensator Design for Stability Enhancement with Co-Located Controllers (1989) (5)
ESTABLISHED LAMINAR AND TURBULENT CHANNEL FLOW OF A RADIATING MOLECULAR GAS (1974) (4)
EXPLICIT LQG OPTIMIZED CONTROL LAWS FOR FLEXIBLE STRUCTURES/COLLOCATED RATE SENSORS (1993) (4)
Identification of distributed parameter systems: Non-computational aspects (1978) (4)
On a Characterization of Covariances (1959) (4)
Configuration impact on heat shield requirements for Jupiter entry (1976) (4)
Flowfield computation of an aerobrake orbital transfer vehicle (1984) (4)
Prediction theory for Markoff processes. (1961) (4)
On a class of stochastic differential equations which do not satisfy Lipschitz conditions (1986) (4)
Effect of linear and nonlinear signal processing on signal statistics (1964) (4)
Semigroup Theory in Aeroelasticity (2000) (4)
On the Wittrick-Williams algorithm for modes of flexible structures (1993) (4)
On a Convolution-Evolution Equation in Aeroelasticity (2003) (4)
Robust stabilizing compensators for flexible structures with collocated controls (1996) (4)
Vistas in applied mathematics : numerical analysis, atmospheric sciences, immunology (1986) (4)
The proceedings of the ComCon Workshop on Stabilization of Flexible Structures : Montpellier, France, December 1987 (1988) (4)
Centrifuge Testing of Remediation of Liquefaction at Bridge Sites (1998) (4)
Minimum attainable RMS attitude error using co-located rate sensors (1989) (3)
State space representation of flexible structure dynamics in air flow (2010) (3)
Radiative Cooling of a Turbulent Flame Front (1973) (3)
Toward a Mathematical Theory of Aeroelasticity (2003) (3)
On a large space structure control problem (1987) (3)
Stability Enhancement of Flexible Structures by Nonlinear Boundary-Feedback Control, (1988) (3)
Aeroelastic flutter analysis in viscous flow: continuum models (2009) (3)
On abstract stochastic bilinear equations with white noise inputs (1983) (3)
Optimal Control Theory (1981) (3)
Jupiter entry probe afterbody convective heating (1979) (3)
Filtering and control a function space approach (1973) (3)
Modes of interconnected lattice trusses using continuum models, part 1 (1991) (3)
Addendum: Axial Air flow Theory—Continuum Models (2012) (3)
A note on the structure of optimal stochastic controls (1974) (3)
Symposium on Optimization (1970) (3)
The transonic dip in aeroelastic divergence speed - An explicit formula (2012) (3)
An explicit solution to the optimal LQG problem for flexible structures with collocated rate sensors (1993) (3)
Geotechnical Engineering and Surprising Performance of Dredged Fill at Port of Oakland's Berth 55/56 Terminal (2004) (2)
A Mathematical Formulation of the SCOLE Control Problem. Part 2: Optimal Compensator Design (1988) (2)
Robustness properties of LQG optimized compensators for collocated rate sensors (1994) (2)
The kalman filter (1978) (2)
An Integral Equation in AeroElasticity (2007) (2)
NASA-UCLA Workshop on Computational Techniques in Identification and Control of Flexible Flight Structures, Lake Arrowhead, CA, Nov. 2-4, 1989, Proceedings (1990) (2)
LQG optimal compensator transfer function for the NASA LaRC CSI Evolutionary Model (1994) (2)
Volume Interchange Factors for Nonhomogeneous Gases (1972) (2)
Aeroelastic flutter in axial flow-The continuum theory (2012) (2)
Real gas flow fields about three dimensional configurations (1983) (2)
Mathematical theory of control : proceedings of a conference held at the University of Southern California, Los Angeles, January 30-February 1, 1967 (1967) (2)
A likelihood ratio formula for random fields with application to physical geodesy (1982) (2)
Signal Selection Theory for Space Communication Channels (1965) (2)
Stochastic optimization: Time-continuous data models (1978) (2)
Numerical Modeling of Seismic Soil-Structure Interaction for the Cut-and-Cover Structure BART Warm Spring Extension (2006) (2)
Radiation heat transfer in the wake of a hypersonic vehicle (1988) (2)
Report on Progress in Information Theory in the U.S.A. (1963) (1)
Applicability of levee fragility functions developed from Japanese data to California’s Central Valley (2014) (1)
Likelihood ratios and kalman filtering for random fields (1981) (1)
Bounds on noise response of structures (1992) (1)
Active stability augmentation of large space structures: A stochastic control problem (1987) (1)
Spectral Density of Laser Beam Scintillation in Wind Turbulence. Part 1; Theory (1997) (1)
Simulating AOTV heating environment in an arc jet (1986) (1)
On the Optimization of Linear , Time-Variant , Multivariable Control Systems Using the Contraction Mapping Principle 1 (1)
White noise models in non-linear filtering and control (1979) (1)
Stochastic control of randomly varying systems (1981) (1)
Identification in automatic control systems : Fourth congress of the International Federation of Automatic Control, Warszawa, 16-21 Juni, 1969 (1969) (1)
Seismic Microzonation Study at the Port of Oakland (2004) (1)
In memory of R. Sridhar (1972) (1)
Optimal control problems in aeroelasticity (1980) (1)
Semigroups of Operators: Theory and Applications (2000) (1)
A steepest descent method for a class of final value control systems (1962) (1)
On Quickest Detection of System Structure Variation (1978) (1)
Stochastic Optimization Theory (1981) (1)
Minimal time detection of parameter change in a counting process (1986) (1)
Advances in probability theory : limit theorems & related problems (1984) (1)
Linear Recursive Estimation (1973) (1)
THE EXPECTED VALUE OF PERFECT INFORMATION I N THE OPTIMAL EVOLUTION OF STOCHASTIC SYSTEMS (2007) (1)
On the Problem of Deducing States and State-Relations from Input-Output Relations for Linear Time-Varying Systems (1967) (1)
Likelihood ratios for time-continuous data models: The white noise approach (1977) (1)
CENTRIFUGE MODELING OF LIQUEFACTION REMEDIATION AT BRIDGE SITES (1998) (1)
Prediction and filtering (1963) (1)
Nonlinear Possio integral equation and aeroelastic flutter limit cycle oscillation (2009) (1)
Matched filters for multiple processes (Corresp.) (1961) (1)
A computational study of heat transfer for laminar hypervelocity flows (1988) (1)
Analytical Solution of the Possio Integral Equation for the Sonic Case (2009) (1)
On modelling nonlinear damping in distributed parameter systems (1989) (0)
Efficient load measurements using singular value decomposition (1988) (0)
AN OPERATIONAL CALCULUS FOR INFINITESIMAL (2016) (0)
Applied Mathematics and Optimization Technical Note On Stochastic Bang Bang Control (0)
Distributed parameter systems: Modelling and identification : proceedings of the IFIP Working Conference, Rome Italy, June 21-24, 1976 (1978) (0)
A Generalization of the Kalman-Yakubovic Lemma (1992) (0)
System science methodology in global modelling: System identification (1979) (0)
Are All Non-Linear Systems (Approx.) Bilinear, (1977) (0)
Seminar on global and large scale System Models summary and conclusions (1979) (0)
Functions, Transformations, Operators (1981) (0)
Adaptive methods in communication systems (1967) (0)
Attitude Error Response of Structures to Actuator/Sensor Noise (1991) (0)
Dynamics of Wing Structures (2012) (0)
CONSTRUCTION OF A SOLUTION OF A CERTAIN EVOLUTION EQUATION (2004) (0)
Differential games and applications : proceedings of a workshop, Enschede 1977 (1977) (0)
On the application of kalman filtering to correct errors due to vertical deflections in inertial navigation (1988) (0)
Techniques of optimization : [papers] (1972) (0)
ComputerGraphics International Symposium OfSoeTcnlgCnerce(AOea (1970) (0)
Radon-Nikodym Derivatives with Respect to Wiener Measure (1973) (0)
SYNTHESIZING OPTIMAL STRATEGIES IN PURSUIT-EVASION GAMES BY THE EPSILON TECHNIQUE, (1969) (0)
In Memoriam: Larry W. Taylor Jr. (1995) (0)
The Steady-State (Static) Solution of the Aeroelastic Equation (2012) (0)
Likelihood ratios for signals in additive white noise (1978) (0)
Conditional Expectation and Martingale Theory (1973) (0)
with Rate Feedback (1997) (0)
Identification - Inverse Problems for Partial Differential Equations (1974) (0)
Likelihood ratios with gauss measure noise models (1978) (0)
Linear Stochastic Equations (1973) (0)
Preliminaries: Stochastic Processes (1973) (0)
Stochastic partial differential equations in control of structures (1992) (0)
Theory of control and communication systems applicable to the design of aerospace systems (1977) (0)
Two Examples of Physically Realizable Processes Whose Spectral Density Is Not “Physically Realizable” (1992) (0)
Stochastic differential systems : proceedings of the 3rd IFIP-WG 7/1 working conference, Visegrád, Hungary, Sept. 15-20, 1980 (1981) (0)
Viscous Air flow Theory (2012) (0)
An infinite-dimensional Gaussian Markov process with nonnuclear steady state covariance (1994) (0)
Nonlinear Aeroelasticity Theory in 2D Aerodynamics: Flutter Instability as an LCO (2012) (0)
N. S. Rajbman: A Memorial (1982) (0)
Radiometer experiment for the aeroassist flight experiment. [Thermal protection data for Orbital Transfer Vehicle design] (1985) (0)
Mathematical theory of control : proceedings of the international conference (1993) (0)
Stabilization of flexible structures; Proceedings of the ComCon Workshop, Montpellier, France, Dec. 11-15, 1987 (1988) (0)
Probability Measures on a Hilbert Space (1971) (0)
A continuum model for interconnected lattice trusses (1992) (0)
The Air Flow Model/Boundary Fluid Structure Interaction/The Aeroelastic Problem (2012) (0)
The Spacecraft Control Laboratory Experiment (SCOLE) - A reprise (1992) (0)
Optimal Control Theory: Flutter Suppression (2012) (0)
Basic Properties of Hilbert Spaces (1981) (0)
Modelling and Control of Large Space Structures (1990) (0)
A mathematical formulation for the control of the SCOLE configuration (1984) (0)
Final Scientific Report: 1978 - 1983. (1983) (0)
Symposium on Optimization : held in Nice, June 29th - July 5th, 1969 (1969) (0)
The Ito Integral (1973) (0)
BOUNDARY CONTROL OF THE DIFFUSION EQUATION A SEMIGROUP THEORETICAL APPROACH (1975) (0)
Time-optimal Control Synthesis for Non-Linear Systems. A Flight Dynamic Example (1973) (0)
Linear Aeroelasticity Theory/ The Possio Integral Equation (2012) (0)
On a Survey of the State of the Art and Focused Research in Range Systems Szate-of-!€he-ari a I D Fccusec R E ~ E a E C B in Principal Investigator Professor Kung Yao (0)
Semigroups of operators : theory and applications : international conference in Newport Beach, December 14-18, 1998 (2000) (0)
Convex Sets and Convex Programming (1981) (0)
Some after-dinner reflections on system identification (1974) (0)
IDENTIF IC ATI O~ OF HUMAN RESPONSE MODELS I N MANUAL CONTROL 'SYSTEMS Problems of Identification in Automatic Control Systems (2006) (0)
Galileo probe thermal protection: Entry heating environments and spallation experiments design (1979) (0)
SS05: Boundary Value Problems in Aero- and Thermo-Elasticity (2004) (0)
Preface to Symposium issue (1966) (0)
A Constructive Approach to Optimal Control (2011) (0)
Discussion: “Infrared Radiation Properties of Sulfur Dioxide” (Chan, S. H., and Tien, C. L., 1971, ASME J. Heat Transfer, 93, pp. 172–177) (1971) (0)
Flutter LCO in isentropic flow: Analytical theory (2008) (0)
Aeroelastic Gust Response (2012) (0)
Theory of Filtering and Control With Application to Control of Large Space Structures (1988) (0)
Application of optical distributed sensing and computation to control of large space structures (1992) (0)

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A. V. Balakrishnan's Academic­Influence.com Rankings