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Author ID: wolenski.peter-r Recent zbMATH articles by "Wolenski, Peter R."
Published as: Wolenski, Peter R.; Wolenski, P. R.; Wolenski, Peter; Wolenski, P.

Publications by Year

Citations contained in zbMATH Open

38 Publications have been cited 1,296 times in 996 Documents Cited by Year
Nonsmooth analysis and control theory. Zbl 1047.49500
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.; Wolenski, P. R.
637
1998
Proximal smoothness and the lower-\(C^ 2\) property. Zbl 0881.49008
Clarke, F. H.; Stern, R. J.; Wolenski, P. R.
151
1995
Qualitative properties of trajectories of control systems: a survey. Zbl 0951.49003
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.; Wolenski, P. R.
113
1995
Proximal analysis and the minimal time function. Zbl 0930.49016
Wolenski, Peter R.; Zhuang, Yu
46
1998
The exponential formula for the reachable set of a Lipschitz differential inclusion. Zbl 0736.34015
Wolenski, Peter R.
40
1990
The subgradient formula for the minimal time function in the case of constant dynamics in Hilbert space. Zbl 1152.49308
Colombo, Giovanni; Wolenski, Peter R.
35
2004
Subgradient criteria for monotonicity, the Lipschitz condition, and convexity. Zbl 0810.49016
Clarke, F. H.; Stern, R. J.; Wolenski, P. R.
31
1993
Variational analysis for a class of minimal time functions in Hilbert spaces. Zbl 1059.49028
Colombo, Giovanni; Wolenski, Peter R.
27
2004
Convexity in Hamilton–Jacobi theory. I: Dynamics and duality. Zbl 0998.49018
Rockafellar, R. Tyrrell; Wolenski, Peter R.
24
2000
Some new regularity properties for the minimal time function. Zbl 1126.49032
Colombo, Giovanni; Marigonda, Antonio; Wolenski, Peter R.
20
2006
Strong invariance and one-sided Lipschitz multifunctions. Zbl 1068.34010
Donchev, T.; Ríos, V.; Wolenski, P.
18
2005
A sampling method and approximation results for impulsive systems. Zbl 1157.34006
Wolenski, Peter R.; Žabić, Stanislav
17
2007
Proximal analysis and minimization principles. Zbl 0865.49015
Clarke, F. H.; Ledyaev, Yu. S.; Wolenski, P. R.
15
1995
Necessary conditions for functional differential inclusions. Zbl 0877.49022
Clarke, F. H.; Wolenski, P. R.
13
1996
A uniqueness theorem for differential inclusions. Zbl 0705.34015
Wolenski, Peter R.
13
1990
Hamilton-Jacobi theory for optimal control problems with data measurable in time. Zbl 0721.49029
Vinter, R. B.; Wolenski, P.
13
1990
Convexity in Hamilton–Jacobi theory. II: Envelope representations. Zbl 0998.49019
Rockafellar, R. Tyrrell; Wolenski, Peter R.
12
2000
Flow invariance on stratified domains. Zbl 1327.93215
Barnard, Richard C.; Wolenski, Peter R.
12
2013
Control of systems to sets and their interiors. Zbl 0843.93009
Clarke, F. H.; Wolenski, P. R.
7
1996
Semiconcavity of the value function for a class of differential inclusions. Zbl 1211.49005
Cannarsa, Piermarco; Wolenski, Peter R.
7
2011
The Mayer and minimum time problems with stratified state constraints. Zbl 1404.35469
Hermosilla, C.; Wolenski, P. R.; Zidani, H.
6
2018
Hamilton-Jacobi theory for hereditary control problems. Zbl 0807.49022
Wolenski, Peter R.
5
1994
The dual arc inclusion with differential inclusions. Zbl 1257.49007
Cannarsa, Piermarco; Marino, Francesco; Wolenski, Peter
5
2013
The sensitivity of optimal control problems to time delay. Zbl 0769.49022
Clarke, F. H.; Wolenski, P. R.
4
1991
Semiconcavity of the minimum time function for differential inclusions. Zbl 1263.49020
Cannarsa, Piermarco; Marino, Francesco; Wolenski, Peter
4
2012
The decoupling technique for continuously varying time delay systems. Zbl 1085.49023
Ortiz, Norma; Wolenski, Peter R.
3
2004
The Clarke generalized gradient for functions whose epigraph has positive reach. Zbl 1291.49013
Colombo, Giovanni; Marigonda, Antonio; Wolenski, Peter R.
3
2013
A characterization of strong invariance for perturbed dissipative systems. Zbl 1109.34008
Donchev, Tzanko; Rios, Vinicio; Wolenski, Peter
2
2004
Strong invariance for discontinuous Hilbert space differential inclusions. Zbl 1112.34038
Donchev, T.; Rios, V.; Wolenski, P.
2
2005
Characterizations of reachable sets for a class of differential inclusions. Zbl 1050.34006
Donchev, Tzanko D.; Farkhi, Elza M.; Wolenski, Peter R.
2
2003
On the stability of a periodic solution of distributed parameters biochemical system. Zbl 1323.35183
Dramé, Abdou K.; Mazenc, Frédéric; Wolenski, Peter R.
2
2015
Periodic trajectories of distributed parameter biochemical systems with time delay. Zbl 1242.92025
Drame, A. K.; Dochain, D.; Winkin, J. J.; Wolenski, P. R.
1
2012
Linear mathematical models in chemical engineering. Zbl 1195.00007
Hjortsø, Martin; Wolenski, Peter
1
2010
Proximal characterization of the reachable set for a discontinuous differential inclusion. Zbl 1210.34022
Rios, V. R.; Wolenski, P. R.
1
2008
Almost periodic solutions of distributed parameter biochemical systems with time delay and time varying input. Zbl 1322.35140
Drame, Abdou K.; Kothari, Mangala R.; Wolenski, Peter R.
1
2013
An existence theorem for neutral variational problems of Bolza. Zbl 1042.49004
Ortiz, Norma L.; Wolenski, Peter R.
1
2004
Convergence results for a self-dual regularization of convex problems. Zbl 1250.90065
Guevara, Alvaro; Wolenski, Peter
1
2012
A characteristic method for fully convex Bolza problems over arcs of bounded variation. Zbl 1420.49037
Hermosilla, Cristopher; Wolenski, Peter
1
2019
A characteristic method for fully convex Bolza problems over arcs of bounded variation. Zbl 1420.49037
Hermosilla, Cristopher; Wolenski, Peter
1
2019
The Mayer and minimum time problems with stratified state constraints. Zbl 1404.35469
Hermosilla, C.; Wolenski, P. R.; Zidani, H.
6
2018
On the stability of a periodic solution of distributed parameters biochemical system. Zbl 1323.35183
Dramé, Abdou K.; Mazenc, Frédéric; Wolenski, Peter R.
2
2015
Flow invariance on stratified domains. Zbl 1327.93215
Barnard, Richard C.; Wolenski, Peter R.
12
2013
The dual arc inclusion with differential inclusions. Zbl 1257.49007
Cannarsa, Piermarco; Marino, Francesco; Wolenski, Peter
5
2013
The Clarke generalized gradient for functions whose epigraph has positive reach. Zbl 1291.49013
Colombo, Giovanni; Marigonda, Antonio; Wolenski, Peter R.
3
2013
Almost periodic solutions of distributed parameter biochemical systems with time delay and time varying input. Zbl 1322.35140
Drame, Abdou K.; Kothari, Mangala R.; Wolenski, Peter R.
1
2013
Semiconcavity of the minimum time function for differential inclusions. Zbl 1263.49020
Cannarsa, Piermarco; Marino, Francesco; Wolenski, Peter
4
2012
Periodic trajectories of distributed parameter biochemical systems with time delay. Zbl 1242.92025
Drame, A. K.; Dochain, D.; Winkin, J. J.; Wolenski, P. R.
1
2012
Convergence results for a self-dual regularization of convex problems. Zbl 1250.90065
Guevara, Alvaro; Wolenski, Peter
1
2012
Semiconcavity of the value function for a class of differential inclusions. Zbl 1211.49005
Cannarsa, Piermarco; Wolenski, Peter R.
7
2011
Linear mathematical models in chemical engineering. Zbl 1195.00007
Hjortsø, Martin; Wolenski, Peter
1
2010
Proximal characterization of the reachable set for a discontinuous differential inclusion. Zbl 1210.34022
Rios, V. R.; Wolenski, P. R.
1
2008
A sampling method and approximation results for impulsive systems. Zbl 1157.34006
Wolenski, Peter R.; Žabić, Stanislav
17
2007
Some new regularity properties for the minimal time function. Zbl 1126.49032
Colombo, Giovanni; Marigonda, Antonio; Wolenski, Peter R.
20
2006
Strong invariance and one-sided Lipschitz multifunctions. Zbl 1068.34010
Donchev, T.; Ríos, V.; Wolenski, P.
18
2005
Strong invariance for discontinuous Hilbert space differential inclusions. Zbl 1112.34038
Donchev, T.; Rios, V.; Wolenski, P.
2
2005
The subgradient formula for the minimal time function in the case of constant dynamics in Hilbert space. Zbl 1152.49308
Colombo, Giovanni; Wolenski, Peter R.
35
2004
Variational analysis for a class of minimal time functions in Hilbert spaces. Zbl 1059.49028
Colombo, Giovanni; Wolenski, Peter R.
27
2004
The decoupling technique for continuously varying time delay systems. Zbl 1085.49023
Ortiz, Norma; Wolenski, Peter R.
3
2004
A characterization of strong invariance for perturbed dissipative systems. Zbl 1109.34008
Donchev, Tzanko; Rios, Vinicio; Wolenski, Peter
2
2004
An existence theorem for neutral variational problems of Bolza. Zbl 1042.49004
Ortiz, Norma L.; Wolenski, Peter R.
1
2004
Characterizations of reachable sets for a class of differential inclusions. Zbl 1050.34006
Donchev, Tzanko D.; Farkhi, Elza M.; Wolenski, Peter R.
2
2003
Convexity in Hamilton–Jacobi theory. I: Dynamics and duality. Zbl 0998.49018
Rockafellar, R. Tyrrell; Wolenski, Peter R.
24
2000
Convexity in Hamilton–Jacobi theory. II: Envelope representations. Zbl 0998.49019
Rockafellar, R. Tyrrell; Wolenski, Peter R.
12
2000
Nonsmooth analysis and control theory. Zbl 1047.49500
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.; Wolenski, P. R.
637
1998
Proximal analysis and the minimal time function. Zbl 0930.49016
Wolenski, Peter R.; Zhuang, Yu
46
1998
Necessary conditions for functional differential inclusions. Zbl 0877.49022
Clarke, F. H.; Wolenski, P. R.
13
1996
Control of systems to sets and their interiors. Zbl 0843.93009
Clarke, F. H.; Wolenski, P. R.
7
1996
Proximal smoothness and the lower-\(C^ 2\) property. Zbl 0881.49008
Clarke, F. H.; Stern, R. J.; Wolenski, P. R.
151
1995
Qualitative properties of trajectories of control systems: a survey. Zbl 0951.49003
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.; Wolenski, P. R.
113
1995
Proximal analysis and minimization principles. Zbl 0865.49015
Clarke, F. H.; Ledyaev, Yu. S.; Wolenski, P. R.
15
1995
Hamilton-Jacobi theory for hereditary control problems. Zbl 0807.49022
Wolenski, Peter R.
5
1994
Subgradient criteria for monotonicity, the Lipschitz condition, and convexity. Zbl 0810.49016
Clarke, F. H.; Stern, R. J.; Wolenski, P. R.
31
1993
The sensitivity of optimal control problems to time delay. Zbl 0769.49022
Clarke, F. H.; Wolenski, P. R.
4
1991
The exponential formula for the reachable set of a Lipschitz differential inclusion. Zbl 0736.34015
Wolenski, Peter R.
40
1990
A uniqueness theorem for differential inclusions. Zbl 0705.34015
Wolenski, Peter R.
13
1990
Hamilton-Jacobi theory for optimal control problems with data measurable in time. Zbl 0721.49029
Vinter, R. B.; Wolenski, P.
13
1990
all top 5

Cited by 1,028 Authors

33 Thibault, Lionel
26 Nobakhtian, Soghra
21 Noor, Muhammad Aslam
21 Vinter, Richard B.
19 Bounkhel, Messaoud
19 Ye, Jane J.
13 Nour, Chadi
12 Balashov, Maxim Viktorovich
12 Donchev, Tzanko Donchev
12 Dykhta, Vladimir Aleksandrovich
12 Mahmudov, Elimhan Nadir
12 Mordukhovich, Boris S.
12 Wolenski, Peter R.
11 Cannarsa, Piermarco
11 Clarke, Francis H.
11 Ledyaev, Yuri Semenovich
11 Penot, Jean-Paul
11 Soleimani-damaneh, Majid
10 Gao, Yan
10 Nam, Nguyen Mau
10 Rifford, Ludovic
10 Stern, Ronald Jay
9 Colombo, Giovanni
9 Hermosilla, Cristopher
9 Ivanov, Grigorii E.
9 Motta, Monica
9 Noor, Khalida Inayat
9 Pouryayevali, Mohamad Reza
8 Adly, Samir
8 Balooee, Javad
8 Cai, Zuowei
8 Gajardo, Pedro
8 Haddad, Tahar
8 Hantoute, Abderrahim
8 Huang, Lihong
8 Lewis, Adrian S.
8 Marigonda, Antonio
8 Movahedian, Nooshin
8 Pang, Liping
8 Silva, Geraldo Nunes
8 Vilches, Emilio
8 Zidani, Hasnaa
7 Azzam-Laouir, Dalila
7 Drusvyatskiy, Dmitriy
7 He, Yiran
7 Lobo Pereira, Fernando
7 Lorenz, Thomas
7 Sorokin, Stepan Pavlovich
6 Daniilidis, Aris
6 de Lara, Michel
6 de Oliveira, Valeriano Antunes
6 Frankowska, Hélène
6 Guseinov, Khalik G.
6 He, Qinghai
6 Huang, Ming
6 Ioffe, Alexander Davidovich
6 Nguyen, Luong V.
6 Samsonyuk, Ol’ga Nikolaevna
6 Takche, Jean
6 Veliov, Vladimir M.
6 Wang, Shawn Xianfu
6 Xia, Zunquan
6 Yao, Jen-Chih
6 Zheng, Xiyin
5 Affane, Doria
5 Azagra, Daniel
5 Baier, Robert
5 Bettiol, Piernicola
5 Bressan, Alberto
5 Broucke, Mireille E.
5 Ferrera, Juan
5 Jiang, Yi
5 Kurzhanskiĭ, Aleksandr Borisovich
5 Li, Chong
5 Luke, David Russell
5 Lukoyanov, Nikolaĭ Yur’evich
5 Mu, Xiaowu
5 Ng, Kung-Fu
5 Nguyen Thi Toan
5 Nguyen, Khai T.
5 Rampazzo, Franco
5 Salas, David
5 Teel, Andrew Richard
5 Wei, Zhou
5 Wirth, Fabian Roger
5 Xu, Mengwei
5 Zafarani, Jafar
5 Zhang, Lingling
5 Zhu, Qiji Jim
4 Al-Said, Eisa A.
4 Ancona, Fabio
4 Angeli, David
4 Azhmyakov, Vadim
4 Bauschke, Heinz H.
4 Bolte, Jérôme
4 Borwein, Jonathan Michael
4 Cârjă, Ovidiu
4 Castaing, Charles
4 Cho, Yeol Je
4 Correa, Rafael
...and 928 more Authors
all top 5

Cited in 207 Serials

60 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
59 Journal of Optimization Theory and Applications
57 Set-Valued and Variational Analysis
54 Journal of Mathematical Analysis and Applications
33 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
31 Systems & Control Letters
26 Journal of Differential Equations
24 Mathematical Programming. Series A. Series B
22 SIAM Journal on Control and Optimization
21 Journal of Global Optimization
20 Automatica
18 Journal of Convex Analysis
17 Transactions of the American Mathematical Society
17 Set-Valued Analysis
17 Optimization Letters
15 Numerical Functional Analysis and Optimization
14 Journal of the Franklin Institute
14 Journal of Dynamical and Control Systems
13 SIAM Journal on Optimization
11 Optimization
10 Discrete and Continuous Dynamical Systems
9 Neural Networks
9 Journal of Mathematical Sciences (New York)
9 European Journal of Control
9 Abstract and Applied Analysis
9 Discrete and Continuous Dynamical Systems. Series B
8 Applied Mathematics and Optimization
8 Automation and Remote Control
8 Nonlinear Analysis. Theory, Methods & Applications
7 Optimization Methods & Software
7 Journal of Applied Mathematics
7 Journal of Applied Mathematics and Computing
7 Proceedings of the Steklov Institute of Mathematics
7 Nonlinear Analysis. Hybrid Systems
6 Applied Mathematics Letters
6 Differential Equations
6 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika
5 Prikladnaya Matematika i Mekhanika
5 Journal of Approximation Theory
5 Proceedings of the American Mathematical Society
5 Computational Optimization and Applications
5 Calculus of Variations and Partial Differential Equations
5 Journal of Function Spaces
4 Mathematical Biosciences
4 Applied Mathematics and Computation
4 Journal of Computational and Applied Mathematics
4 Acta Mathematicae Applicatae Sinica. English Series
4 The Annals of Applied Probability
4 Numerical Algorithms
4 Applied Mathematical Modelling
4 Communications in Partial Differential Equations
4 Positivity
4 Journal of Inequalities and Applications
4 Communications in Nonlinear Science and Numerical Simulation
4 Foundations of Computational Mathematics
4 Mathematical Control and Related Fields
4 Evolution Equations and Control Theory
3 Archive for Rational Mechanics and Analysis
3 Computers & Mathematics with Applications
3 International Journal of Control
3 Mathematical Notes
3 Journal of Mathematical Economics
3 Rendiconti del Circolo Matemàtico di Palermo. Serie II
3 Applied Mathematics and Mechanics. (English Edition)
3 Bulletin of the Iranian Mathematical Society
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Journal of Economic Dynamics & Control
3 MCSS. Mathematics of Control, Signals, and Systems
3 Computational Mathematics and Mathematical Physics
3 European Journal of Operational Research
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 International Journal of Robust and Nonlinear Control
3 Doklady Mathematics
3 Nonlinear Dynamics
3 Acta Mathematica Sinica. English Series
3 Journal of Industrial and Management Optimization
3 Journal of Fixed Point Theory and Applications
2 Applicable Analysis
2 Chaos, Solitons and Fractals
2 Fuzzy Sets and Systems
2 Information Sciences
2 Mathematische Annalen
2 Mathematische Nachrichten
2 Theoretical Computer Science
2 Stochastic Analysis and Applications
2 Mathematical and Computer Modelling
2 Annals of Operations Research
2 Neural Computation
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 SIAM Journal on Applied Mathematics
2 Russian Mathematics
2 Random Operators and Stochastic Equations
2 Sbornik: Mathematics
2 Vietnam Journal of Mathematics
2 Taiwanese Journal of Mathematics
2 Nonlinear Analysis. Real World Applications
2 Journal of the Australian Mathematical Society
2 Journal of Systems Science and Complexity
2 Fixed Point Theory and Applications
2 Advances in Difference Equations
...and 107 more Serials
all top 5

Cited in 45 Fields

582 Calculus of variations and optimal control; optimization (49-XX)
267 Operations research, mathematical programming (90-XX)
227 Systems theory; control (93-XX)
213 Ordinary differential equations (34-XX)
87 Numerical analysis (65-XX)
86 Operator theory (47-XX)
61 Partial differential equations (35-XX)
59 Real functions (26-XX)
52 Global analysis, analysis on manifolds (58-XX)
51 Functional analysis (46-XX)
51 Biology and other natural sciences (92-XX)
39 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
27 Dynamical systems and ergodic theory (37-XX)
22 Convex and discrete geometry (52-XX)
19 Differential geometry (53-XX)
18 Measure and integration (28-XX)
18 Probability theory and stochastic processes (60-XX)
16 Computer science (68-XX)
14 General topology (54-XX)
10 Approximations and expansions (41-XX)
9 Statistics (62-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
7 Mechanics of particles and systems (70-XX)
7 Mechanics of deformable solids (74-XX)
6 Integral equations (45-XX)
5 Information and communication theory, circuits (94-XX)
4 Mathematical logic and foundations (03-XX)
4 Difference and functional equations (39-XX)
3 Combinatorics (05-XX)
3 Special functions (33-XX)
3 Quantum theory (81-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Algebraic geometry (14-XX)
2 Functions of a complex variable (30-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Geometry (51-XX)
2 Manifolds and cell complexes (57-XX)
2 Optics, electromagnetic theory (78-XX)
2 Relativity and gravitational theory (83-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Topological groups, Lie groups (22-XX)
1 Integral transforms, operational calculus (44-XX)
1 Fluid mechanics (76-XX)
1 Classical thermodynamics, heat transfer (80-XX)

Citations by Year