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Parameter-dependent PWQ Lyapunov function stability criteria for uncertain piecewise linear systems [PDF]
Modeling, Identification and Control, 2018 The calculation of piecewise quadratic (PWQ) Lyapunov functions is addressed in view of stability analysis of uncertain piecewise linear dynamics. As main contribution, the linear matrix inequality (LMI) approach proposed in (Johansson and Rantzer, 1998)
Morten Hovd, Sorin Olaru
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Canard-like phenomena in piecewise-smooth Van der Pol systems [PDF]
, 2014 We show that a nonlinear, piecewise-smooth, planar dynamical system can exhibit canard phenomena. Canard solutions and explosion in nonlinear, piecewise-smooth systems can be qualitatively more similar to the phenomena in smooth systems than piecewise ...
Andrew Roberts +4 more
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Piecewise Linear Control Systems [PDF]
, 2002 This thesis treats analysis and design of piecewise linear control systems. Piecewise linear systems capture many of the most common nonlinearities in engineering systems, and they can also be used for approximation of other nonlinear systems. Several aspects of linear systems with quadratic constraints are generalized to piecewise linear systems with ...
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Digital controlling of piecewise linear systems [PDF]
2000 2nd International Conference. Control of Oscillations and Chaos. Proceedings (Cat. No.00TH8521), 2002 A mechanical model of a digital balancing system is constructed and its stability analysis is presented. This model describes practical problems like backlash and sampling delay. Stationary and periodic solutions are determined numerically for the case of the system without sampling.
Kollar, László E., Stepan, G.
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Feedback Finite-Time Stabilization of Impulsive Linear Systems over Piecewise Quadratic Domains
Complexity, 2021 This paper investigates the state feedback stabilization problem for a class of impulsive linear time-varying systems over specified time intervals and piecewise quadratic domains (PQDs).
Jing Huang +3 more
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Observer design for piecewise smooth and switched systems via contraction theory
, 2017 The aim of this paper is to present the application of an approach to study contraction theory recently developed for piecewise smooth and switched systems.
Coraggio, Marco +2 more
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Convex Optimal Uncertainty Quantification [PDF]
, 2015 Optimal uncertainty quantification (OUQ) is a framework for numerical extreme-case analysis of stochastic systems with imperfect knowledge of the underlying probability distribution.
Han, Shuo +4 more
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Canard trajectories in 3D piecewise linear systems
Discrete & Continuous Dynamical Systems - A, 2013 We present some results on singularly perturbed piecewise linear systems, similar to those obtained by the Geometric Singular Perturbation Theory. Unlike the differentiable case, in the piecewise linear case we obtain the global expression of the slow manifold Sε. As a result, we characterize the existence of canard orbits in such systems.
Prohens, Rafel, Teruel, Antonio E.
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Optimal Control for a Class of Chaotic Systems
Journal of Applied Mathematics, 2012 This paper proposes the optimal control methods for a class of chaotic systems via state feedback. By converting the chaotic systems to the form of uncertain piecewise linear systems, we can obtain the optimal controller minimizing the upper bound on ...
Jianxiong Zhang, Wansheng Tang
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Tropical Limit in Statistical Physics
, 2015 Tropical limit for macroscopic systems in equilibrium defined as the formal limit of Boltzmann constant k going to 0 is discussed. It is shown that such tropical limit is well-adapted to analyse properties of systems with highly degenerated energy levels,
Angelelli, M., Konopelchenko, B.
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