Publications

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2025Ìý

  • Generalized Derivatives of Nonsmooth Discrete-Time Systems [

S. Bjorvand, J.Ìý´³Ã¤²õ³¦³ó°ì±ð, P. Stechlinski

SIAM Journal on Applied Dynamical Systems

  • Identifiability and observability of nonsmooth systems via Taylor-like approximations [,

P. Stechlinski, S.A. Eisa, H. Abdelfattah

IEEE Transactions on Automatic Control

  • A new nonsmooth optimal control framework for wind turbine power systems [

H. Abdelfattah, S.A. Eisa, P. Stechlinski

Journal of the Franklin Institute

  • Corrigendum to “Lexicographic derivatives of nonsmooth glucose-insulin kinetics under normal and artificial pancreatic responses” [

M. Ackley and P. Stechlinski

Applied Mathematics and Computation

2024Ìý

  • Parameter identifiability and reduction for smooth and nonsmooth differential-algebraic equation systems [

H. Abdelfattah, P. Stechlinski, S.A. Eisa

IEEE Control Systems Letters

2023Ìý

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

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 [

C. Butler and P. Stechlinski

Bulletin of Mathematical Biology

  • Dynamic optimization of complementarity systems [

P. Stechlinski

IEEE Transactions on Automatic Control

2022

  • Generalized derivatives of eigenvalues of a symmetric matrix [

P. Stechlinski

Linear Algebra and its ApplicationsÌý

2021

  • Determining key parameters in riots using lexicographic directional differentiation [

M. Ackley and P. Stechlinski

SIAM Journal on Applied Mathematics

  • Theory of index-one nonlinear complementarity systems [

P. Stechlinski

Journal of Differential Equations

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

M. Ackley and P. Stechlinski

Applied Mathematics and Computation

  • Nonsmooth Hessenberg differential-algebraic equations [

P. Stechlinski and P.I. BartonÌýÌý

Journal of Mathematical Analysis and Applications

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

S.A. Eisa and P. Stechlinski

Communications in Nonlinear Science and Numerical Simulation

2020Ìý

  • Optimization-constrained differential equations with active set changes [

P. Stechlinski

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

2019Ìý

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

P. Stechlinski, J.Ìý´³Ã¤²õ³¦³ó°ì±ð,ÌýP.I. BartonÌýÌý

Optimization, 68, 485-508

2018

  • Nonsmooth DAEs with applications in modeling phase changesÌý[

P. Stechlinski, M. Patrascu,ÌýP.I. BartonÌýÌý

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

  • Computationally relevant generalized derivatives: theory, evaluation and applicationÌý[

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

Optimization Methods and Software, 33,Ìý1030-1072

  • Generalized sensitivity analysis of nonlinear programsÌý[

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

SIAM Journal on Optimization,Ìý28, 272-301

  • Nonsmooth differential-algebraic equations in chemical engineeringÌý[

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

Computers & Chemical Engineering,Ìý114, 52-68

  • Switching and impulsive control algorithms for nonlinear hybrid dynamical systemsÌý[

X.Z. Liu and P. Stechlinski

Nonlinear Analysis: Hybrid Systems,Ìý27, 307-322

2017

  • Switching vaccination schemes for vector-borne diseases with seasonal fluctuationsÌý[

X.Z. Liu and P. Stechlinski

Journal of Biological Systems,Ìý25, 441-477

  • Dependence of solutions of nonsmooth differential-algebraic equations on parametersÌý[

P. Stechlinski and P.I. Barton

Journal of Differential Equations,Ìý262, 2254-2285

  • Infectious Disease Modeling: A Hybrid System ApproachÌý[

X.Z. Liu and P. Stechlinski

In Springer Series in Nonlinear Systems of Complexity,ÌýVol. 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 equationsÌý[

P. Stechlinski and P.I. Barton

Journal of Optimization Theory and Applications,Ìý171, 1-26

  • Hybrid stabilization and synchronization of nonlinear systems with unbounded delaysÌý[

X.Z. Liu and P. Stechlinski

Applied Mathematical Modelling,Ìý280, 140-161Ìý

  • Generalized derivatives of optimal control problems with nonsmooth differential-algebraic equationsÌý[

P. Stechlinski and P.I. Barton

In Proceedings 55th IEEE Conference on Decision and Control,Ìý592-597

  • Robust synchronization of distributed-delay systems via hybrid controlÌý[

P. Stechlinski and X.Z. Liu

In Proceedings AMMCS-CAIMS 2015Ìý

2015

  • Application of control strategies to a seasonal model of chikungunya diseaseÌý[

X.Z. Liu and P. Stechlinski

Applied Mathematical Modelling,Ìý39, 3194-3220Ìý

  • Stabilization of impulsive systems via open-loop switched controlÌý[

P. Stechlinski and X.Z. Liu

In Proceedings AMMCS 2013Ìý

2014

  • SIS models with switching and pulse controlÌý[

X.Z. Liu and P. Stechlinski

Journal of Applied Mathematics and Computation,Ìý232, 727-742

  • Hybrid control of impulsive systems with distributed delaysÌý[

X.Z. Liu and P. Stechlinski

Nonlinear Analysis: Hybrid Systems,Ìý11, 57-70ÌýÌý

2013

  • Existence results for a class of hybrid systems with infinite delayÌý[

X.Z. Liu and P. Stechlinski

Dynamics of Continuous, Discrete & Impulsive Systems Series B: Applications & Algorithms,Ìý20, 591-623

  • Transmission dynamics of a switched multi-city model with transport-related infectionsÌý[

X.Z. Liu and P. Stechlinski

Nonlinear Analysis: Real World Applications,Ìý14, 264-279ÌýÌý

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,Ìý20, 37-50ÌýÌý

2011

  • Pulse and constant control schemes for epidemic models with seasonality

X.Z. Liu and P. Stechlinski

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

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

P. StechlinskiÌýand X.Z. LiuÌýÌý

In Proceedings AMMCS 2011ÌýÌý

2010

  • Stabilizability of a class of nonlinear systems using hybrid controllers

X.Z. Liu and P. Stechlinski

The Journal of Nonlinear Sciences and Applications,Ìý3, 203-221Ìý