Publications

Google ScholarResearchGate

 ORCID

 

 

2023 

  • Analyzing the influence of agents in trust networks: applying nonsmooth eigensensitivity theory to a graph centrality problem [Link]

J. Donnelly and P. Stechlinski

SIAM Journal on Matrix Analysis and Applications

  • Modeling opioid abuse: a case study of the opioid crisis in New England [Link]

C. Butler and P. Stechlinski

Bulletin of Mathematical Biology

  • Dynamic optimization of complementarity systems [Link]

P. Stechlinski

IEEE Transactions on Automatic Control

2022

  • Generalized derivatives of eigenvalues of a symmetric matrix [Link]

P. Stechlinski

Linear Algebra and its Applications 

2021

  • Determining key parameters in riots using lexicographic directional differentiation [Link]

M. Ackley and P. Stechlinski

SIAM Journal on Applied Mathematics

  • Theory of index-one nonlinear complementarity systems [Link]

P. Stechlinski

Journal of Differential Equations

  • Lexicographic derivatives of nonsmooth glucose-insulin kinetics under normal and artificial pancreatic responses [Link]

M. Ackley and P. Stechlinski

Applied Mathematics and Computation

  • Nonsmooth Hessenberg differential-algebraic equations [Link]

P. Stechlinski and P.I. Barton  

Journal of Mathematical Analysis and Applications

  • Sensitivity analysis of nonsmooth power control systems with an example of wind turbines [Link]

S.A. Eisa and P. Stechlinski

Communications in Nonlinear Science and Numerical Simulation

2020 

  • Optimization-constrained differential equations with active set changes [Link]

P. Stechlinski

Journal of Optimization Theory and Applications, 187, 266-293

2019 

  • Generalized sensitivity analysis of nonlinear programs using a sequence of quadratic programs [Link]

P. Stechlinski, J. Jäschke, P.I. Barton  

Optimization, 68, 485-508

2018

  • Nonsmooth DAEs with applications in modeling phase changes [Link]

P. Stechlinski, M. Patrascu, P.I. Barton  

In: Differential-Algebraic Equations Forum. Springer, Berlin, Heidelberg 

  • Computationally relevant generalized derivatives: theory, evaluation and application [Link]

P.I. Barton, K.A. Khan, P. Stechlinski, H.A.J. Watson

Optimization Methods and Software, 33, 1030-1072

  • Generalized sensitivity analysis of nonlinear programs [Link]

P. Stechlinski, K.A. Khan, P.I. Barton

SIAM Journal on Optimization, 28, 272-301

  • Nonsmooth differential-algebraic equations in chemical engineering [Link]

P. Stechlinski, M. Patrascu, P.I. Barton

Computers & Chemical Engineering, 114, 52-68

  • Switching and impulsive control algorithms for nonlinear hybrid dynamical systems [Link]

X.Z. Liu and P. Stechlinski

Nonlinear Analysis: Hybrid Systems, 27, 307-322

2017

  • Switching vaccination schemes for vector-borne diseases with seasonal fluctuations [Link]

X.Z. Liu and P. Stechlinski

Journal of Biological Systems, 25, 441-477

  • Dependence of solutions of nonsmooth differential-algebraic equations on parameters [Link]

P. Stechlinski and P.I. Barton

Journal of Differential Equations, 262, 2254-2285

  • Infectious Disease Modeling: A Hybrid System Approach [Link]

X.Z. Liu and P. Stechlinski

In Springer Series in Nonlinear Systems of Complexity, Vol. 19, Springer International Publishing

  • Nonsmooth differential-algebraic equations

P.I. Barton and P. Stechlinski

In Proceedings FOCAPO/CPC 2017

2016

  • Generalized derivatives of differential-algebraic equations [Link]

P. Stechlinski and P.I. Barton

Journal of Optimization Theory and Applications, 171, 1-26

  • Hybrid stabilization and synchronization of nonlinear systems with unbounded delays [Link]

X.Z. Liu and P. Stechlinski

Applied Mathematical Modelling, 280, 140-161 

  • Generalized derivatives of optimal control problems with nonsmooth differential-algebraic equations [Link]

P. Stechlinski and P.I. Barton

In Proceedings 55th IEEE Conference on Decision and Control, 592-597

  • Robust synchronization of distributed-delay systems via hybrid control [Link]

P. Stechlinski and X.Z. Liu

In Proceedings AMMCS-CAIMS 2015 

2015

  • Application of control strategies to a seasonal model of chikungunya disease [Link]

X.Z. Liu and P. Stechlinski

Applied Mathematical Modelling, 39, 3194-3220 

  • Stabilization of impulsive systems via open-loop switched control [Link]

P. Stechlinski and X.Z. Liu

In Proceedings AMMCS 2013 

2014

  • SIS models with switching and pulse control [Link]

X.Z. Liu and P. Stechlinski

Journal of Applied Mathematics and Computation, 232, 727-742

  • Hybrid control of impulsive systems with distributed delays [Link]

X.Z. Liu and P. Stechlinski

Nonlinear Analysis: Hybrid Systems, 11, 57-70  

2013

  • Existence results for a class of hybrid systems with infinite delay [Link]

X.Z. Liu and P. Stechlinski

Dynamics of Continuous, Discrete & Impulsive Systems Series B: Applications & Algorithms, 20, 591-623

  • Transmission dynamics of a switched multi-city model with transport-related infections [Link]

X.Z. Liu and P. Stechlinski

Nonlinear Analysis: Real World Applications, 14, 264-279  

2012

  • Infectious disease models with time-varying parameters and general nonlinear incidence rate

X.Z. Liu and P. Stechlinski

Applied Mathematical Modelling, 36, 1974-1994

  • Control strategies applied to a stochastic disease model with term-time forcing

X.Z. Liu and P. Stechlinski

Neural, Parallel & Scientific Computations, 20, 37-50  

2011

  • Pulse and constant control schemes for epidemic models with seasonality

X.Z. Liu and P. Stechlinski

Nonlinear Analysis: Real World Applications, 12, 931-946 

  • Stabilization of a class of nonlinear systems using state-dependent switching control and impulsive control

P. Stechlinski and X.Z. Liu  

In Proceedings AMMCS 2011  

2010

  • Stabilizability of a class of nonlinear systems using hybrid controllers

X.Z. Liu and P. Stechlinski

The Journal of Nonlinear Sciences and Applications, 3, 203-221