Curriculum Vitae
TOADER MOROZAN
Institute of Mathematics of the Romanian Academy
He was born on October 31, 1936 in the village
Negrilesti, Galati, Romania.
In 1959 he graduated the University of Bucharest, Faculty of
Mathematics.
From 1959 to 1963 we worked as an assistant professor at the Faculty
of Mathematics of the Bucharest University. In the period 1963-1975
we worked at Institute of Mathematics in Bucharest. During the period
1975-1990 he worked at INCREST and since 1990 by now, he works as a
senior researcher at the Institute of Mathematics of the Romanian
Academy.
In 1965 he received the Ph.D. degree in mathematics from the
University of Bucharest with a thesis on stability of differential
equations with random parameters.
He is the author or coauthor of two monographs and over 120 scientific
papers dedicated to various topics on Differential Equations and
Control Theory.
In 1972 he was awarded the ''Gh. Lazar'' prise of the Romanian
Academy.
He is a member of the Editorial Board of the Journal: Mathematical
Reports.
He is also a member of the IEEE Committee on ''At
Risk'' Scientists and Engineers.
He is a member of the Editorial Advisory Board of the International
Journal of Innovational Computing and Information Control.
He was member of the Editorial Board of Stochastic Analysis and
Applications (1983-2000).
LIST OF PUBLICATIONS
TOADER MOROZAN
A. Monographs
- Stabilitatea sistemelor cu parametri aleatori, Edit. Academiei R.S.R, 1969.
- Mathematical Methods in Robust Control of Linear Stochastic Systems
(colab. V. Dragan and A. Stoica), Springer, 2006
B. Scientific Papers
- Asupra stabilitatii absolute a unor sisteme de
reglare automata cu mai multe organe regulatoare, Comunicarile Acad.
R.P.R, IX, 10,995-1000, 1959.
- Asupra stabilitatii asimptotice in mare a unor
sisteme de ecuatii diferentiale, Comunicariile Acad. R. P.R, XI,
1011-1016, 1961.
- Remarque sur une note de V. Iacoubovitsch, C.R.
Acad. Sci. Paris Ser. I. Math., 254, 24, 1962.
- Sur un probleme de S. Lefschetz I, Contributions
to differential Equations, vol.II, 77-83, 1963.
- Sur un probleme de S. Lefschetz II, Contributions
to Differential Equations, vol.II, 85-90, 1963.
- Remarque sur un travail de H. Bunke, C. R. Acad.
Sci. Paris Ser. I.Math., 2049-2053, 1963.
- Stabilite des solutions des systemes d'equations
differentielles a parametres aleatories, Rev. Roumaine Math. Pures
Appl., t.11, no.2, 211-238, 1966.
- The method of V.M. Popov for control systems with
random parametres, J. Math. Anal. Appl., 16, 2, 201-215, 1966.
- Stability of linear systems with random
parametres, J. Differential Equations, 3, 2, 170-179, 1967.
- Stability of some linear stochastic systems, J.
Differential Equations, 3, 2, 153-170, 1967.
- Sur l'aproximation stochastique, C.A. Acad. Sci.
Paris Ser . I. Math., 264, 633-636, 1967.
- Asupra stabilitatii sistemelor de reglare
automata cu parametri aleatori (in ruseste), Rev. Roumaine Math.
Pures Appl., t.12, no.4, 545-554, 1967.
- Asupra stabilitatii pentru perturbatii mici
stochastice (in ruseste), Rev. Roumaine Math. Pures Appl., t.13,
no.1, 71-78, 1968.
- Stability of some linear stochastic discrete
systems, Rev. Roumaine Math. Pures Appl., t.13, no.8, 1127-1136,
1968.
- Stability of stochastic discrete systems, J.
Math. Anal. Appl., 23, 1, 1-10, 1968.
- Stability of differential systems with random
parametres, J. Math. Anal. Appl., 24, 669-676, 1968.
- On the absolute stability of stochastic
sampled-data control system, Rev. Roumaine Math. Pures Appl., t.14,
no.6, 829-835, 1969.
- Stability of linear systems with random
coefficients, Rev. Roumaine ,Math. Pures Appl., t.15, no.5 721-727,
1970.
- On the stochastic approximation, Reve Roumaine
Math. Pures Appl., t.15, no.5, 729-733, 1970.
- Stability of linear discrete system with random
coefficients, Rev. Roumaine Math. Pures Appl., t.15, no.6, 883-896,
1970.
- On stability of some linear systems with random
coefficients, Rev. Roumaine Math. Pures Appl., t.16, no.2, 269-1226,
1971.
- On boundedness of solutions stochastic discrete
systems, Rev. Roumaine Math. Pures Appl., t.18, no.2, 269-282, 1973.
- Necessary and sufficient conditions of stability
of stochastic discrete systems, Rev. Roumaine Math. Pures Appl.,
t.18, no.2, 255-267, 1973.
- Stability of some stochastic discrete control
systems, Rev. Roumaine Math. Pures Appl., t.18, no.3, 369-389, 1973.
- On mean square exponential stability of some
stochastic systems, Rev., Roumaine Math. Pures Appl., t.20, no.1,
75-82, 1975.
- On the stability of stochastic discrete systems,
Rev. Roumanie Math. Pures Appl., t.20, no.9, 1079-1089, 1975.
- Foundations of dynamic programming approach for
discrete-time stochastic control problems, Rev. Roumaine Math. Pures
Appl., t.22, no.6, 797-804, 1977.
- On Lp asymptotic stability of
stochastic discrete systems, Rev. Roumaine Math. Pures Appl., t.22,
no.6, 805-809, 1977.
- Asymptotic state estimation for some stochastic
discrete systems, Rev. Roumaine Math. Pures Appl., t.22, no.9,
1267-1277, 1977.
- Stabilization by linear feedback of linear
discrete stochastic systems, (in colaborare cu A. Halanay), Rev.
Roumaine Math. Pures Appl., t.23, no.4, 561-571, 1978.
- On the convergence of some random processes
related to stochastic approximation, Rev. Roumaine Math. Pures Appl.,
t.24, no.8, 1229-1236, 1979.
- Stochastic stability and control for
discrete-time systems with jump Markov disturbances, Rev. Roumaine
Math. Pures Appl., t.24, no.1, 111-127, 1979.
- Dynamic programming for some discrete-time
control systems with random perturbations, Rev. Roumaine Math. Pures
Appl., t.25, no.7, 1065-1083, 1980.
- On the stochastic stability of nonlinear
discrete-time systems with jump Markov perturbations, Rev. Roumaine
Math. Pures Appl., t.26, no.1, 121-134, 1981.
- Stability and control of some linear
discrete-time systems with jump Markov perturbations, Rev. Roumaine
Math. Pures Appl., t.26, no.1, 101-119, 1981.
- Teoreme de tip Fubini pentru integrale
stochastice, Stud. Cerc. Mat., t.34, no.1, 51064, 1982.
- Dynamic programming for some discrete-time
stochastic control problems, An. Univ. Craiova Mat. Fiz. Chim.,
no.10, 32-40, 1982.
- Stabilization of some stochastic discrete-time
control systems, Stochastic Anal. Appl., 1, 89-116, 1983.
- Optimal stationary control for dynamic systems
with Markov perturbations, Stochastic Anal. Appl., 3, 299-325, 1983.
- Stability of some stochastic nonlinear
discrete-time systems, Rev. Roumaine Math. Pures Appl., t.29, no.10,
871-878, 1984.
- Stabilizarea unor sisteme liniare de ecuatii
diferentiale de comanda cu perturbatii markoviene, Stud.
Cerc. Mat., t.37, no.3, 282-284, 1985.
- Periodic solutions of affine stochastic
differential equations, Stochastic Anal. Appl., 1, 87-110, 1986.
Feedback optimal stabilizant pentru sisteme
discrete de comanda cu peturbatii aleatoare, Stud. Cerc.
Mat., t.38, no.4, 365-372, 1986.
Bounded and periodic solutions of affine
stochastic differential equations, Stud. Cerc. Mat., t.38, no.6,
523-527, 1986.
- Bounded solutions of affine stochastic
differential equations and stability, (in colaborare cu A. Halanay si
C. Tudor), Casopis Pest. Mat., 111, 127-132, 1986.
- Periodic solutions of stochastic discrete-time
systems, Rev. Roumaine Math. Pures Appl. T.32, no.4, 351-365, 1987.
- Tracking almost periodic signals under white
noise perturbations, (in colaborare cu A. Halanay, si C. Tudor),
Stochastics, v.21, 287-301, 1987.
- Bounded, periodic and almost periodic solutions
of affine stochastic discrete-time systems, Rev. Roumanie Math. Pures
Appl., 32, 8, 1987, 711-718.
- Tracking discrete almost periodic signals under
random perturbations, (in colaborare cu A. Halanay si C. Tudor), Int.
J. Control, 47, 1, 1998, p. 381-392.
- Adaptive stabilization and tracking under white
noise perturbations, (in colaborare cu A. Halanay), Int. J. Control,
49, 2, 1989, 533-544.
- Performance estimaties in tracking under
write-noise perturbations, (in colaborare cu A. Halanay si V.
Dragan), Int. J. Control, 50, 6, 1989, 2269-2283.
- Almost periodic solutions of affine I to
equations, ( in colaborare cu C. Tudor), Stochastic Analysis and
Appl. 7, 4, 1989, 451-474.
- Almost periodic solutions of affine
discrete-time systems with random perturbations, St. Cerc. Mat. 41,
1989, 297-312.
- Discrete-time stabilizing compensators for
continuous-time systems with state dependent noise (in colaborare cu
A. Halanay), Studii si Cerc. Mat. 44, 6, 1992, 471-488.
- Discrete-time Riccati equations connected with
quadratic control for linear systems with independent random
perturbations, Revue Roum. Math. Pures et Appl. 37, 3, 1992, 233-246.
- Optimal stabilizing compensators for linear
discrete-time system under independent random perturbations (in
colaborare cu A. Halanay) Revue Roum. Math. Pures et Appl. 37, 3,
1992, 213-224.
- Optimal stabilizing conpensators for linear
systems with state dependent noise (in colaborare cu V. Dragan si A.
Halanay) Stochastic Analysis and Appl. 10, 5, 1992, 557-572.
- Cost of tracking for discrete-time systems with
independent random perturbations, Studii si Cerc. Mat., 45, 4, 1993,
313-317.
- Stochastic uniform observability and Riccati
equations of stochastic control, Rev. Roum. Math. Pures Appl. 38, 9,
1993, 771-781.
- Asymptopic almost periodic solutions for Riccati
equations of stochastic contril, Stud. Cerc. Mat. , 46, 6, 1994,
603-612.
- Almost periodic solutions for Riccati equations
of stochatisc control, Appl. Math. Optim. 30, 1994, 127-133.
- Stability and control for linear systems with
jump Markov perturbations, Stoch. Analysis and, Appl., 13, 1, 1995,
91-110.
- Cost of tracking under white multiplicative
noise perturbations, Rev. Roum. Math. Pures Appl. , 40, 5-6, 1995,
463-469.
- Stability and control for linear discrete-time
systems with Markov perturbations , Rev. Roum. Math. Pures Appl. ,
40, 1995, 471-494.
- Stability radii of some stochastic differential
equations, Stochastics, 54, 1995, 281-291.
- Parametrized Riccati equations associated to input-output operators
for time-varying stochastic differential equations with state-dependent
noise, Preprint Series of Institute of Mathematics of the Romanian Academy
no.37, 1995
- Dual linear quadratic problem for linear control systems with jump
Markov perturbations, Rev. Roum. Math. Pures et Appl., 41, 5-6, 1996, 363-377.
- Mixed input-output optimization with state
feedback under white noise perturbations (in colab. cu A. Halanay si
V. Dragan ), Dynamics of Continuous Discrete and Impulsive Systems,
2,(1996), 219-235.
- Stability radii of some discrete-time systems
with independent random perturbations, Stochastics Analysis and
Appl., 15,3, 1997, 375-386.
- Stability radii of some time-varying linear
stochastic differential systems, Stochastic Analysis and Appl. 15, 3,
1997, 387-397.
- Mixed input-output optimization for time-varying
Ito systems with state-dependent noise (in colab. cu V.Dragan ),
Dynamics of Contin., Discrete and Impulsive systems, 3, 1997,
317-333.
- Global solutions to a game-theoretic Riccati
equations of Stochastic control (in colab. cu V. Dragan), J. Diff.
Eqs., 38, 2, 1997, 328-250.
- Parametrized Riccati equations for linear
discrete-time systems with Markov perturbations, Rev. Roum. Pures
Appl., 43, 7-8, (1998), 761-777.
- Parametrized Riccati equations for controlled
linear differential systems with jump Markov perturbations,
Stochastic Analysis and Appl., 16, 4, (1998), 661-682.
- Parametrized Riccati equations associated to
input-output operators for discrete-time systems with state-dependent
noise, Stochastic Analysis and Appl., 16, 5 (1998), 915-931.
- Parametrized Riccati equations and input-output
operators for time-varying stochastic differential equations with
state-dependent noise, Math. Reports, nr.1, 1999, 99-115.
- Almost periodic solutions of parametrized
Riccati equations, Math. Reports, nr.4, 1999, 583-585.
- Game-theoretic coupled Riccati equations
associated to controlled linear differential systems with jump Markov
perturbations (colab. V. Dragan), Stochastic Analysis and Appl.,
nr.5, 2001.
- Almost periodic solutions of discrete-time
parametrized Riccati equations, Math. Reports, 2, nr. 3, 2000,
327-335.
- Linear quadratic control and tracking problems
for time-varying stochastic differential systems perturbed by a
Markov chain, Rev. Roum. Pures Appl., 25, 6, 2001, 783-804.
- Stability and robust stabilization to linear
stochastic systems described by differential equations with Markovian
jumping and multiplicative white noise (colab. V. Dragan), Preprint
Inst. Mat. nr. 17, 1999, Stochastic Analysis and Appl., nr.1, 2002, 33-92.
- Exponential stability for a class of linear
time-varying singularly perturbed stochastic systems, Dynamics Cont.
Discrete and Impulsive Syst., February 2002, nr. 9, 213-230.
- Asymptotic properties of input output operators
norm associeted with singularly perturbed systems multiplicative
white noise (colab. V. Dragan and Peng Shi),
SIAM J. Control Optim., 41.1, 2002, 141-163
- Systems of matrix rational differential
equations arising in connection with linear stochastic systems with
Markovian jumping
(colab. V. Dragan) Journal of Diff. Eqs., 194, 1, 2003, 1-38
- Stability radii for a class of differential
stochastic systems (colab. V. Dragan and A. Stoica)
Math. Reports, 5, (55), no. 4, 2003, 301-314
- Optimal $H_2$ state feedback control for linear systems with Markovian
jumps (colab. V. Dragan and A. Stoica),
Revue Roum. des Sciences Techn., Serie Electotechn. et Energ.,
48, 4, 2003, 523-527
- The linear quadratic optimization problems
for a class of linear stochastic systems with multiplicative white
noise and Markovian jumping
(colab. V. Dragan), IEEE Trans. Aut. Control, 49, 1, 2004, 665-675
- $H^2$ optimal control for linear stochastic
systems (colab. V. Dragan and A. Stoica), Automatica, 40, 2004, 1103-1113
- A class of nonlinear differential equations on the space of symmetric matrices
(colab. V. Dragan, G. Freiling and A. Hockhaus),
Electronic Journal of Diff. Eqs., 2004, nr. 96, 1-50.
- Stochastic observability and Applications (colab. V. Dragan), IMA Journal of Math.
Control and Information, 21, 2004, 323-344
- Stochastic version of Bounded Real Lemma and Applications
(colab. V. Dragan and A. Stoica), Math. Reports, 5, 4, 2004, 389-430.
- Stochastic H2-optimal control for a class of linear systems
with periodic coefficients (colab. V. Dragan), European Journal of Control,
11, 6, 2005, 619-631.
-
Differential equations with positive evolutions and some applications
(colab. V. Dragan, P. Damm and G. Freiling), Result. Math. 48, 2005,206-236.
-
Exponential stability for discrete-time linear equations defined by positive
operators (colab. V. Dragan), Integr. equ. oper. theory, 54, 2006, 465-493.
-
Observability and detectability of a class of discrete-time stochastic
linear systems, (colab. V. Dragan), IMA Journal of Math. Control and Inf.,
23, 2006, 371-394.
-
Mean square exponential stability for some stochastic linear
discrete-time systems (colab. V. Dragan), European Journal of Control,
11 (4), 2006, 1-23.
C. Scientific papers in Proceedings
- Boundedness propreties for stochastic systems,
Proceed. of Intern. Symposium on Stability of Stochastic Dynamical
Systems, Warwick, England 1972, Lecture Notes Math, vol 294, 1972,
21-29.
- Stabiliatea unor sisteme discrete stochastice ,
Colocviul de teoria sistemelor, Brasov, Rom., 1973, 86-96.
- On the stochastic stability of some discrete
systems with random parameters, Colocviul de teoria probabilitatilor
Brasov, Rom., 1974, 233-238.
- On the stability of stochastic discrete systems,
Proceed. of Autumn Course on Control theory and Topics in Funct.
Analysis, Trieste , Italy, 1974, IAEA, Vienna, 1976, vol.3.
- Stability and control of some linear
discrete-time systems with jump Markov perturbations, Proceed. of
Second Conference on Diff Eqs, Rousse, Bulg, 1981.
- Periodic solutions of some affine stochastic
differential equations, Proceed. of Conference on Diff. Eqs.
Cluj-Napoca, 1985.
- Tracking almost periodic signals under
white-noise perturbations, (in colab. cu A. Halanay), Proceed. Sixth
I F I P Conference on Stochastic Systems and Optimization, Warsaw,
Poland, 1984.
- Affine stochastics differential equations with
almost periodic coefficients, Proceed. Conference on Diff. Eqs. And
Control Theory, Iasi, Rom., 1990, Pitman Researk Notes in Math.
Series vol. 250, 1991, Edit. V. Barbu, 217-221.
- On the Riccati equations of stochastic control,
Proceed. of First Franco- Roum. Conference, Iasi, 1992, Intern.
Series of Num., Math., vol 1 7, 1992, Edit. V. Barbu.
- Liapunov and Riccati equations connected with
stability and quadratic control for time - varying lineur systems
with jump Markov perturbations, Collection Papers on Qualitative
Problems for Diff. Eqs. and Control theory, Edit. C. Corduneanu,
World Scientific, 1995, 177-184.
- Disturbance attention problem for discrete-time
stochastic systems. The periodic case., (in colab. cu V. Dragan)
Proceed. of ECC 97, Bruxelles, TH-M, E1, 1997.
- Stabilizing solutions for Riccati equations for
controlled systems with jump Markov perturbations (colab. V. Dragan),
Proceed. MTNS'98 Symp., Padova, Italy, 605-609.
- Stabilizing solutions to coupled matrix Riccati
differential equations associated to linear systems with Markovian
jumping and multiplicative noise, (colab. V. Dragan), Proceed.
European Control Conference ECC'99, Karlsruhe, Germany, 1999.
- Exponential stability for a class of singularly
perturbed Ito differential equations (colab. V. Dragan), Proceed.
Sixth Colloquium on the Qualitative Theory Diff. Eqs., Szeged,
Hungary, 1999.
- Robust stabilization of linear stochastic
systems with Markovian jumping, (colab. V. Dragan), CD Fourteenth
Int. Symp. of Math. Theory of Networks and Systems, MTNS 2000,
Perpignan, France, June 2000.
- Linear quadratic optimization problem with
indefinite control weight costs for stochastic systems with
multiplicative white noise and Markovian jumping (colab. V. Dragan),
Proceed. of 7-th IEEE Int. Conf. Methods and Models in Automation
and Robotics (MMAR), 28-31, August 2001, Polonia.
- An addendum to the problem of stochastic
observability (colab. V. Dragan)
FA3, Proceed Fifteenth Int. Symp. on Math. Theory of
Networks and Systems,
Univ. of Notre Dame, Indiana, USA, 2002
- Iterative procedures for stabilizing
solutions of Riccati differential equations arising in
stochastic control
(colab. V. Dragan and A. Stoica)
Proceed. Intern. Conf. Analysis and Optim. Diff. Eqs.,
Sept. 2002, Constanta, Roum., Kluwer Acad. Publ.
(Eds. V. Barbu et all) 2003, 133-144
- The disturbance attenuation problem for
a general class of linear stochastic systems
(colab. V. Dragan and A. Stoica)
Advances in Automatic Control,
(Ed. M. Voicu), Kluwer Acad. Publ. 2003, 39-54
- Optimization and Riccati equations
(colab. V. Dragan) Proceed. Int. Workshop
"Differential Systems and Financial Mathematics",
15-23 Sept. 2003.
-
H2-optimal control for a class of periodic
stochastic linear systems (colab. V. Dragan),
Proceed. of 30-th Int. Conference of the Military Tech. Academy,
Bucharest, 2003 (CD-ROM).
- $H^2$ optimal control for linear stochastic
periodic systems
(colab. V. Dragan)
Proceed. Sixteenth Int. Symp. on Math. Theory of Networks and Systems,
MTNS 2004, Leuven, Belgium
- An iterative procedure for computation of
the maximal solution of a class of generalized Riccati differential
equations,
(colab. V. Dragan, G. Freiling and A. Hockhaus),
Proceed. Sixth. Int. Symp. on Math. Theory of Network and Systems,
MTNS 2004, Leuven, Belgium
- Mean square exponential stability of discrete-time linear
stochastic systems with Markovian jumping (colab. V. Dragan),
Proceed. of 8-th SACCS, Iasi, Romania, 2004 (CD-ROM)
- The linear quadratic optimization problem for a class of
discrete-time linear stochastic systems (colab V. Dragan),
Proceed. of 31-th Int. Conference of the Military Tech. Academy,
Bucharest, 2005 (CD-ROM).
- Mean square exponential stability for discrete-time
time-varying linear systems with markovian switching (colab. V. Dragan),
Proceed. of Int. Symp. on Math. Theory of Network and Systems, MTNS,
2006, Kyoto, Japan