## Datko, Richard F.

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 Author ID: datko.richard-f Published as: Datko, R.; Datko, Richard; Datko, Richard F.; Datko, R. F. more...less
 Documents Indexed: 66 Publications since 1964 Co-Authors: 3 Co-Authors with 2 Joint Publications 37 Co-Co-Authors

### Co-Authors

 60 single-authored 1 Bradley, Mary 1 Lagnese, John E. 1 Polis, Michael P.
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### Serials

 8 Journal of Mathematical Analysis and Applications 8 Journal of Differential Equations 5 SIAM Journal on Control and Optimization 4 SIAM Journal on Control 3 Canadian Mathematical Bulletin 3 IEEE Transactions on Automatic Control 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 International Journal of Control 2 Control and Cybernetics 2 SIAM Journal on Mathematical Analysis 1 American Mathematical Monthly 1 Applicable Analysis 1 Journal of the Institute of Mathematics and its Applications 1 Applied Mathematics and Optimization 1 Fundamenta Mathematicae 1 Journal of Optimization Theory and Applications 1 Michigan Mathematical Journal 1 Quarterly of Applied Mathematics
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### Fields

 26 Ordinary differential equations (34-XX) 25 Systems theory; control (93-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 5 Operator theory (47-XX) 4 Integral transforms, operational calculus (44-XX) 3 Measure and integration (28-XX) 3 Partial differential equations (35-XX) 3 Functional analysis (46-XX) 3 Mechanics of deformable solids (74-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX)

### Citations contained in zbMATH Open

43 Publications have been cited 880 times in 606 Documents Cited by Year
An example on the effect of time delays in boundary feedback stabilization of wave equations. Zbl 0592.93047
Datko, R.; Polis, M. P.; Lagnese, J.
1986
Not all feedback stabilized hyperbolic systems are robust with respect to small time delays in their feedbacks. Zbl 0643.93050
Datko, Richard
1988
Extending a theorem of A. M. Liapunov to Hilbert space. Zbl 0211.16802
Datko, R.
1970
Uniform asymptotic stability of evolutionary processes in a Banach space. Zbl 0241.34071
Datko, Richard
1972
Linear autonomous neutral differential equations in a Banach space. Zbl 0402.34066
Datko, Richard
1977
Two examples of ill-posedness with respect to time delays revisited. Zbl 0878.73046
Datko, Richard
1997
A procedure for determination of the exponential stability of certain differential-difference equations. Zbl 0405.34051
Datko, R.
1978
Two questions concerning the boundary control of certain elastic systems. Zbl 0747.93066
Datko, R.
1991
Two examples of III-posedness with respect to small time delays in stabilized elastic systems. Zbl 0775.93184
Datko, R.
1993
A linear control problem in an abstract Hilbert space. Zbl 0218.93011
Datko, R.
1971
Representation of solutions and stability of linear differentialdifference equations in a Banach space. Zbl 0379.34049
Datko, Richard
1978
Some second-order vibrating systems cannot tolerate small time delays in their damping. Zbl 0791.34045
Datko, R.; You, Y. C.
1991
Remarks concerning the asymptotic stability and stabilization of linear delay differential equations. Zbl 0579.34052
Datko, R.
1985
Time-delayed perturbations and robust stability. Zbl 0792.93098
Datko, Richard F.
1994
Lyapunov functionals for certain linear delay differential equations in a Hilbert space. Zbl 0482.34055
Datko, Richard
1980
An example of an unstable neutral differential equation. Zbl 0513.34076
Datko, R.
1983
On the integration of set-valued mappings in a Banach space. Zbl 0259.28005
Datko, Richard
1973
Some analytic and measure theoretic properties of set-valued mappings. Zbl 0354.28001
1977
An extension of a theorem of A. M. Lyapunov to semi-groups of operators. Zbl 0186.45802
Datko, R.
1968
Measurability properties of set-valued mappings in a Banach space. Zbl 0207.12904
Datko, R.
1970
Unconstrained control problems with quadratic cost. Zbl 0254.49023
Datko, Richard
1973
Neutral autonomous functional equations with quadratic cost. Zbl 0243.49022
Datko, R.
1974
The Laplace transform and the integral stability of certain linear processes. Zbl 0478.93045
Datko, Richard
1983
The uniform asymptotic stability of certain linear differential- difference equations. Zbl 0343.34060
Datko, R.
1976
Applications of the finite Laplace transform to linear control problems. Zbl 0438.93033
Datko, Richard
1980
An algorithm for computing Liapunov functionals for some differential- difference equations. Zbl 0321.34060
Datko, Richard
1972
Some linear nonautonomous control problems with quadratic cost. Zbl 0338.49010
Datko, Richard
1976
A rank-one perturbation result on the spectra of certain operators. Zbl 0694.47010
Datko, R.
1989
Is boundary control a realistic approach to the stabilization of vibrating elastic systems? Zbl 0812.93013
Datko, Richard
1994
Integrals of the differential equations $$\ddot x + f(s)x = 0$$. Zbl 0153.11303
Datko, R.
1967
Some spectral solutions for a class of LQR problems. Zbl 0737.93063
Datko, R.
1990
The uniform exponential statility of a class of linear differential- difference equations in a Hilbert space. Zbl 0474.34061
Datko, Richard
1981
Applications of the finite Laplace transform to linear control problems. Zbl 0482.93036
Datko, Richard
1980
The uniform asymptotic stability of certain neutral differential- difference equations. Zbl 0403.34062
Datko, Richard
1977
Global stability of second order autonomous differential equations. Zbl 0158.09301
Datko, R.
1966
The asymptotic stability of a class of second order differential equations. Zbl 0182.12101
Datko, R.
1968
A fixed-point theorem for a class of integral operators. Zbl 0186.43502
Datko, R.
1968
Convexity properties of some integral operators. Zbl 0203.14203
Datko, R.
1970
The existence of optimal controls for a performance index with a positive integrand. Zbl 0241.49004
Anvari, M.; Datko, R. F.
1966
A characterization and a canonical decomposition of Hurwitzian matrices. Zbl 0255.15012
1970
A paradigm of ill-posedness with respect to time delays. Zbl 0968.93067
Datko, Richard
1998
An implicit function theorem with an application to control theory. Zbl 0127.28002
Datko, R.
1964
A general bang-bang principle and bang-bang approximations. Zbl 0131.05301
Datko, R.
1965
A paradigm of ill-posedness with respect to time delays. Zbl 0968.93067
Datko, Richard
1998
Two examples of ill-posedness with respect to time delays revisited. Zbl 0878.73046
Datko, Richard
1997
Time-delayed perturbations and robust stability. Zbl 0792.93098
Datko, Richard F.
1994
Is boundary control a realistic approach to the stabilization of vibrating elastic systems? Zbl 0812.93013
Datko, Richard
1994
Two examples of III-posedness with respect to small time delays in stabilized elastic systems. Zbl 0775.93184
Datko, R.
1993
Two questions concerning the boundary control of certain elastic systems. Zbl 0747.93066
Datko, R.
1991
Some second-order vibrating systems cannot tolerate small time delays in their damping. Zbl 0791.34045
Datko, R.; You, Y. C.
1991
Some spectral solutions for a class of LQR problems. Zbl 0737.93063
Datko, R.
1990
A rank-one perturbation result on the spectra of certain operators. Zbl 0694.47010
Datko, R.
1989
Not all feedback stabilized hyperbolic systems are robust with respect to small time delays in their feedbacks. Zbl 0643.93050
Datko, Richard
1988
An example on the effect of time delays in boundary feedback stabilization of wave equations. Zbl 0592.93047
Datko, R.; Polis, M. P.; Lagnese, J.
1986
Remarks concerning the asymptotic stability and stabilization of linear delay differential equations. Zbl 0579.34052
Datko, R.
1985
An example of an unstable neutral differential equation. Zbl 0513.34076
Datko, R.
1983
The Laplace transform and the integral stability of certain linear processes. Zbl 0478.93045
Datko, Richard
1983
The uniform exponential statility of a class of linear differential- difference equations in a Hilbert space. Zbl 0474.34061
Datko, Richard
1981
Lyapunov functionals for certain linear delay differential equations in a Hilbert space. Zbl 0482.34055
Datko, Richard
1980
Applications of the finite Laplace transform to linear control problems. Zbl 0438.93033
Datko, Richard
1980
Applications of the finite Laplace transform to linear control problems. Zbl 0482.93036
Datko, Richard
1980
A procedure for determination of the exponential stability of certain differential-difference equations. Zbl 0405.34051
Datko, R.
1978
Representation of solutions and stability of linear differentialdifference equations in a Banach space. Zbl 0379.34049
Datko, Richard
1978
Linear autonomous neutral differential equations in a Banach space. Zbl 0402.34066
Datko, Richard
1977
Some analytic and measure theoretic properties of set-valued mappings. Zbl 0354.28001
1977
The uniform asymptotic stability of certain neutral differential- difference equations. Zbl 0403.34062
Datko, Richard
1977
The uniform asymptotic stability of certain linear differential- difference equations. Zbl 0343.34060
Datko, R.
1976
Some linear nonautonomous control problems with quadratic cost. Zbl 0338.49010
Datko, Richard
1976
Neutral autonomous functional equations with quadratic cost. Zbl 0243.49022
Datko, R.
1974
On the integration of set-valued mappings in a Banach space. Zbl 0259.28005
Datko, Richard
1973
Unconstrained control problems with quadratic cost. Zbl 0254.49023
Datko, Richard
1973
Uniform asymptotic stability of evolutionary processes in a Banach space. Zbl 0241.34071
Datko, Richard
1972
An algorithm for computing Liapunov functionals for some differential- difference equations. Zbl 0321.34060
Datko, Richard
1972
A linear control problem in an abstract Hilbert space. Zbl 0218.93011
Datko, R.
1971
Extending a theorem of A. M. Liapunov to Hilbert space. Zbl 0211.16802
Datko, R.
1970
Measurability properties of set-valued mappings in a Banach space. Zbl 0207.12904
Datko, R.
1970
Convexity properties of some integral operators. Zbl 0203.14203
Datko, R.
1970
A characterization and a canonical decomposition of Hurwitzian matrices. Zbl 0255.15012
1970
An extension of a theorem of A. M. Lyapunov to semi-groups of operators. Zbl 0186.45802
Datko, R.
1968
The asymptotic stability of a class of second order differential equations. Zbl 0182.12101
Datko, R.
1968
A fixed-point theorem for a class of integral operators. Zbl 0186.43502
Datko, R.
1968
Integrals of the differential equations $$\ddot x + f(s)x = 0$$. Zbl 0153.11303
Datko, R.
1967
Global stability of second order autonomous differential equations. Zbl 0158.09301
Datko, R.
1966
The existence of optimal controls for a performance index with a positive integrand. Zbl 0241.49004
Anvari, M.; Datko, R. F.
1966
A general bang-bang principle and bang-bang approximations. Zbl 0131.05301
Datko, R.
1965
An implicit function theorem with an application to control theory. Zbl 0127.28002
Datko, R.
1964
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### Cited by 650 Authors

 20 Xu, Gen-Qi 17 Datko, Richard F. 17 Hernández, Eduardo M. 14 Megan, Mihail 13 Feng, Baowei 13 Henríquez, Hernán R. 12 Nicaise, Serge 12 Preda, Ciprian 11 O’Regan, Donal 11 Pignotti, Cristina 11 Preda, Petre 10 Mustafa, Muhammad Islam 9 Apalara, Tijani Abdulaziz 9 Triggiani, Roberto 8 Sasu, Bogdan 7 Lasiecka, Irena 7 Messaoudi, Salim A. 7 Park, SunHye 7 Sipahi, Rifat 6 Buşe, Constantin 6 Hao, Jianghao 6 Liu, Kai 6 Niculescu, Silviu-Iulian 6 Raposo, Carlos Alberto 5 Ammari, Kais 5 Boukhatem, Yamna 5 de la Sen, Manuel 5 Dragičević, Davor 5 Ezzinbi, Khalil 5 Fabrizio, Mauro 5 Ferhat, Mohamed 5 Jirsa, Viktor K. 5 Kafini, Mohammad Mustafa 5 Logemann, Hartmut 5 Nonato, Carlos A. S. 5 Pham Viet Hai 5 Pierri, Michelle 5 Pogan, Alin 5 Tatar, Nasser-eddine 5 Wang, Peipei 4 Amendola, Giovambattista 4 Auriol, Jean 4 Benaissa, Abbes 4 Gopalsamy, Kondalsamy 4 Guo, Bao-Zhu 4 Levan, Nhan 4 Liu, Wenjun 4 Lupa, Nicolae 4 Marchenko, Vladimir M. 4 Pandolfi, Luciano 4 Peralta, Gilbert R. 4 Rahmat, Gul 4 Ramírez, Adrian 4 Rebiai, Salah Eddine 4 Sasu, Adina Luminiţa 4 Shang, Yingfeng 4 Yang, Kunyi 4 Zennir, Khaled 3 Adimy, Mostafa 3 Barbu, Viorel 3 Benabderrahmane, Benyattou 3 Boulaaras, Salah Mahmoud 3 Boumaza, Nouri 3 Ceauşu, Traian 3 Chai, Shugen 3 Chen, Yunlan 3 Chentouf, Boumediène 3 Cooke, Kenneth L. 3 Cuevas, Claudio 3 Di Meglio, Florent 3 Duncan, Tyrone E. 3 Fang, Zhongbo 3 Flandoli, Franco 3 Freitas, Mirelson M. 3 Gefter, Sergey L. 3 Gheraibia, Billel 3 Gu, Keqin 3 Guesmia, Aissa 3 Gugat, Martin 3 Hakem, Ali 3 Han, Zhongjie 3 Khan, Aftab 3 Kharitonov, Vladimir Leonidovich 3 Krstić, Miroslav 3 Lazzari, Barbara 3 Leugering, Günter 3 Li, Gang 3 Li, Jing 3 Li, Yanfang 3 Liu, Gongwei 3 Liu, Zhiqing 3 Maslowski, Bohdan 3 Mazanti, Guilherme 3 Mondié, Sabine 3 Mpungu, Kassimu 3 Mukiawa, Soh Edwin 3 Nguyen Thieu Huy 3 Nguyen Van Minh 3 Pasik-Duncan, Bozenna 3 Popa, Ioan-Lucian ...and 550 more Authors
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### Cited in 171 Serials

 56 Journal of Mathematical Analysis and Applications 30 Systems & Control Letters 25 International Journal of Control 25 Journal of Differential Equations 24 Automatica 19 Applicable Analysis 17 ZAMP. Zeitschrift für angewandte Mathematik und Physik 16 Applied Mathematics and Optimization 16 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Semigroup Forum 9 Journal of Mathematical Physics 9 Discrete and Continuous Dynamical Systems. Series B 9 Nonlinear Analysis. Theory, Methods & Applications 8 SIAM Journal on Control and Optimization 8 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 7 MCSS. Mathematics of Control, Signals, and Systems 6 Applied Mathematics and Computation 6 Integral Equations and Operator Theory 6 Acta Applicandae Mathematicae 6 Applied Mathematics Letters 6 Differential Equations 6 Journal of Evolution Equations 6 Evolution Equations and Control Theory 5 Computers & Mathematics with Applications 5 Mathematical Methods in the Applied Sciences 5 Czechoslovak Mathematical Journal 5 Journal of Optimization Theory and Applications 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 Journal of Mathematical Sciences (New York) 5 Abstract and Applied Analysis 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Journal of Functional Analysis 4 Proceedings of the American Mathematical Society 4 Asymptotic Analysis 4 Journal of Dynamics and Differential Equations 4 Journal of Difference Equations and Applications 4 Communications on Pure and Applied Analysis 4 Boundary Value Problems 4 Afrika Matematika 3 Archive for Rational Mechanics and Analysis 3 Bulletin of the Australian Mathematical Society 3 International Journal of Systems Science 3 Journal of the Franklin Institute 3 Journal of Soviet Mathematics 3 Kybernetika 3 Quarterly of Applied Mathematics 3 Transactions of the American Mathematical Society 3 Stochastic Analysis and Applications 3 Dynamics and Stability of Systems 3 Annales Mathématiques Blaise Pascal 3 Discrete and Continuous Dynamical Systems 3 Taiwanese Journal of Mathematics 3 Journal of Inequalities and Applications 3 Discrete Dynamics in Nature and Society 3 Journal of Dynamical and Control Systems 3 Journal of Systems Science and Complexity 3 Journal of Function Spaces and Applications 3 Advances in Difference Equations 2 International Journal of Engineering Science 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Archiv der Mathematik 2 Fuzzy Sets and Systems 2 Journal of Mathematical Economics 2 Numerical Functional Analysis and Optimization 2 Results in Mathematics 2 Siberian Mathematical Journal 2 Acta Mathematica Hungarica 2 Journal of Integral Equations and Applications 2 Applied Mathematical Modelling 2 Linear Algebra and its Applications 2 SIAM Journal on Mathematical Analysis 2 Stochastic Processes and their Applications 2 Bulletin des Sciences Mathématiques 2 Complexity 2 Mathematical Problems in Engineering 2 Differential Equations and Dynamical Systems 2 Nonlinear Dynamics 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Differentsial’nye Uravneniya i Protsessy Upravleniya 2 Journal of Applied Mathematics and Computing 2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 2 Journal of Fixed Point Theory and Applications 2 Discrete and Continuous Dynamical Systems. Series S 2 Asian Journal of Control 2 Mathematical Control and Related Fields 1 Biological Cybernetics 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Applied Mathematics and Mechanics 1 Mathematical Biosciences 1 Mathematical Notes 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 Stochastics 1 Annales de l’Institut Fourier 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Information Sciences 1 Journal of Algebra 1 Mathematische Nachrichten 1 Mathematical Systems Theory 1 Mathematische Zeitschrift ...and 71 more Serials
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### Cited in 30 Fields

 306 Systems theory; control (93-XX) 248 Partial differential equations (35-XX) 185 Ordinary differential equations (34-XX) 119 Operator theory (47-XX) 87 Mechanics of deformable solids (74-XX) 42 Calculus of variations and optimal control; optimization (49-XX) 23 Dynamical systems and ergodic theory (37-XX) 22 Probability theory and stochastic processes (60-XX) 19 Functional analysis (46-XX) 16 Difference and functional equations (39-XX) 16 Integral equations (45-XX) 13 Biology and other natural sciences (92-XX) 12 Mechanics of particles and systems (70-XX) 12 Fluid mechanics (76-XX) 11 Measure and integration (28-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Numerical analysis (65-XX) 6 Real functions (26-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Integral transforms, operational calculus (44-XX) 3 Operations research, mathematical programming (90-XX) 2 Special functions (33-XX) 2 Optics, electromagnetic theory (78-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Quantum theory (81-XX)