## Wolenski, Peter R.

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 Author ID: wolenski.peter-r Published as: Wolenski, Peter R.; Wolenski, P. R.; Wolenski, Peter; Wolenski, P. more...less
 Documents Indexed: 43 Publications since 1990, including 2 Books 1 Contribution as Editor Co-Authors: 30 Co-Authors with 40 Joint Publications 619 Co-Co-Authors
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### Co-Authors

 4 single-authored 10 Clarke, Francis H. 4 Cannarsa, Piermarco 4 Colombo, Giovanni 4 Donchev, Tzanko Donchev 4 Rios, Vinicio 4 Stern, Ronald Jay 3 Dramé, Abdou Khadry 3 Ledyaev, Yuri Semenovich 2 Hermosilla, Cristopher 2 Marigonda, Antonio 2 Marino, Francesco Pio 2 Ortiz, Norma L. 2 Rockafellar, Ralph Tyrrell 2 Vinter, Richard B. 1 Ancona, Fabio 1 Barnard, Richard C. 1 Bressan, Alberto 1 Dochain, Denis 1 Farkhi, Elza M. 1 Guevara, Alvaro 1 Hjortso, Martin A. 1 Knuckles, Craig 1 Kothari, Mangala R. 1 Krastanov, Mikhail Ivanov 1 Malisoff, Michael 1 Mazenc, Frédéric 1 Winkin, Joseph J. 1 Žabić, Stanislav 1 Zhuang, Yu 1 Zidani, Hasnaa
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### Serials

 9 SIAM Journal on Control and Optimization 4 Journal of Mathematical Analysis and Applications 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Journal of Convex Analysis 2 Set-Valued and Variational Analysis 1 Applied Mathematics and Computation 1 Applied Mathematics and Optimization 1 Canadian Journal of Mathematics 1 Journal of Differential Equations 1 Journal of Optimization Theory and Applications 1 Mathematics of Operations Research 1 Real Analysis Exchange 1 Transactions of the American Mathematical Society 1 Optimization 1 Journal of Global Optimization 1 Analele Științifice ale Universității Al. I. Cuza din Iași. Serie Nouă. Matematică 1 Set-Valued Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 Discrete and Continuous Dynamical Systems 1 Functional Differential Equations 1 Journal of Dynamical and Control Systems 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 1 Communications on Pure and Applied Analysis 1 Graduate Texts in Mathematics 1 Series on Advances in Mathematics for Applied Sciences 1 Nonlinear Analysis. Theory, Methods & Applications
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### Fields

 33 Calculus of variations and optimal control; optimization (49-XX) 14 Ordinary differential equations (34-XX) 8 Systems theory; control (93-XX) 5 Partial differential equations (35-XX) 5 Biology and other natural sciences (92-XX) 3 Real functions (26-XX) 3 Operations research, mathematical programming (90-XX) 2 General and overarching topics; collections (00-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Measure and integration (28-XX) 1 Numerical analysis (65-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

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

### Cited by 1,028 Authors

 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