Global analysis of piecewise linear systems using impact maps and surface lyapunov functions
From MaRDI portal
Publication:5266649
DOI10.1109/TAC.2003.820061zbMath1364.93337OpenAlexW2102622811MaRDI QIDQ5266649
Munther A. Dahleh, Jorge M. Gonçalves, Alexandre Megretski
Publication date: 20 June 2017
Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1109/tac.2003.820061
Nonlinear systems in control theory (93C10) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05)
Related Items
Existence and stability of limit cycles in a macroscopic neuronal population model, A duality-based convex optimization approach to \(L_2\)-gain control of piecewise affine slab differential inclusions, Stability analysis for a class of switched linear systems, Stability tests and stabilization for piecewise linear systems based on poles and zeros of subsystems, Complementarity Systems in Constrained Steady-State Optimal Control, Input-to-state stability for a class of switched stochastic nonlinear systems by an improved average Dwell time method, Stability analysis of a class of switched nonlinear systems with an improved average dwell time method, Stabilization and robustness analysis of multi-module impulsive switched linear systems, Oscillation analysis of linearly coupled piecewise affine systems: application to spatio-temporal neuron dynamics, Quasi-period oscillations of relay feedback systems, Periodic solutions versus practical switching control for sensorless piecewise affine systems (PWA), Stabilizability of two-dimensional linear systems via switched output feedback, Parameterized regulator synthesis for bimodal linear systems based on bilinear matrix inequalities, Stability of switched stochastic nonlinear systems by an improved average dwell time method, Hybrid control design for limit cycle stabilisation of planar switched systems, A Biology-Inspired Approach to the Positive Integral Control of Positive Systems: The Antithetic, Exponential, and Logistic Integral Controllers, Reachability analysis of continuous-time piecewise affine systems, Estimation of domain of attraction for the fractional-order WPT system, Existence and uniqueness of solutions of piecewise nonlinear systems