Discontinuous systems. Lyapunov analysis and robust synthesis under uncertainty conditions
From MaRDI portal
Publication:947475
DOI10.1007/978-1-84800-984-4zbMath1180.37004OpenAlexW4237270139MaRDI QIDQ947475
Publication date: 2 October 2008
Published in: Communications and Control Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-1-84800-984-4
Dynamical systems in control (37N35) Stability theory for smooth dynamical systems (37C75) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02)
Related Items
Qualitative Behavior of a Metabolic Pathway with Hybrid Feedback ⋮ Fixed-time backstepping control based on adaptive super-twisting disturbance observers for a class of nonlinear systems ⋮ Nonsingular terminal sliding-mode control of nonlinear planar systems with global fixed-time stability guarantees ⋮ Event-based control of linear hyperbolic systems of conservation laws ⋮ On the finite-time Bhat-Bernstein feedbacks for the strings connected by point mass ⋮ Exponential stabilization of conservation systems with interior disturbance ⋮ A discussion on the Hölder and robust finite-time partial stabilizability of Brockett’s integrator ⋮ Boundary energy control of a system governed by the nonlinear Klein-Gordon equation ⋮ Boundary second-order sliding-mode control of an uncertain heat process with unbounded matched perturbation ⋮ Output sliding mode-based stabilization of underactuated 3-DOF helicopter prototype and its experimental verification ⋮ Finite-Time Stability of Polyhedral Sweeping Processes with Application to Elastoplastic Systems ⋮ On the global polynomial stabilization and observation with optimal decay rate ⋮ Analysis of finite-time convergence by the method of Lyapunov functions in systems with second-order sliding modes ⋮ Causal modeling in impulsive systems: a new rigorous non-standard analysis approach ⋮ Homogeneous high order sliding mode design: a Lyapunov approach ⋮ High-order sliding mode control for sensorless trajectory tracking of a PMSM ⋮ On the ISS properties of a class of parabolic DPS' with discontinuous control using sampled-in-space sensing and actuation ⋮ Adaptive unit-vector control of an uncertain heat diffusion process ⋮ Hopf bifurcation of hybrid van der Pol oscillators ⋮ Continuous state-feedback tracking of an uncertain heat diffusion process ⋮ Stabilization for Schrödinger equation with internal damping and boundary disturbance ⋮ Robust trajectory‐tracking in finite‐time for robot manipulators using nonlinear proportional‐derivative control plus feed‐forward compensation ⋮ Trade off analysis between fixed-time stabilization and energy consumption of nonlinear neural networks ⋮ An adaptive finite‐time stable control law for manipulator robots with unknown parameters ⋮ High‐order sliding‐mode control design homogeneous in the bi‐limit ⋮ Multiple‐input multiple‐output homogeneous integral control design using the implicit Lyapunov function approach ⋮ Control of systems with time varying unilateral constraints using robust and optimal controllers: A homogeneity framework ⋮ Sliding Mode Control of the Orr--Sommerfeld Equation Cascaded by Both the Squire Equation and ODE in the Presence of Boundary Disturbances ⋮ NonlinearH∞-control under unilateral constraints ⋮ $${{\mathcal H}}_{\infty }$$ H ∞ - Stabilization of a 3D Bipedal Locomotion Under a Unilateral Constraint ⋮ Finite-Time Stability for Differential Inclusions with Applications to Neural Networks ⋮ Sliding mode cooperative control for multirobot systems: a finite-time approach ⋮ Numerical simulation of piecewise-linear models of gene regulatory networks using complementarity systems ⋮ A sliding mode observer for a linear reaction-convection-diffusion equation with disturbances ⋮ Finite‐time sliding mode stabilization using dirty differentiation and disturbance compensation ⋮ On the global polynomial stabilization of nonlinear dynamical systems ⋮ Adaptive parameter identification of linear SISO systems with unknown time-delay ⋮ Input-to-state stabilization of an ODE-wave system with disturbances ⋮ Finite time stabilization of a perturbed double integrator with unilateral constraints ⋮ Sliding Mode Observer Based-Controller Design for Nonlinear Systems with Time Varying Delay ⋮ Boundary time-varying feedbacks for fixed-time stabilization of constant-parameter reaction-diffusion systems ⋮ Robust distributed control of quasilinear reaction-diffusion equations via infinite-dimensional sliding modes ⋮ A framework for a class of hybrid extremum seeking controllers with dynamic inclusions ⋮ Limit cycles of piecewise smooth differential equations on two dimensional torus ⋮ Generating oscillations in inertia wheel pendulum via two‐relay controller ⋮ The chaotic behaviour of piecewise smooth differential equations on two-dimensional torus and sphere ⋮ Implicit Euler numerical scheme and chattering-free implementation of sliding mode systems ⋮ Sliding Mode Observer Design for a Parabolic PDE in the Presence of Unknown Inputs ⋮ Discrete-time equivalents of the super-twisting algorithm ⋮ Stability of discontinuous homogeneous nonlinear sampled-data systems ⋮ An arbitrary-order differentiator design paradigm with adaptive gains ⋮ Robust stabilization of MIMO systems in finite/fixed time ⋮ On the rational stability of autonomous dynamical systems. Applications to control chained systems ⋮ Nonlinear \(\mathcal{L}_2\)-gain analysis of hybrid systems in the presence of sliding modes and impacts ⋮ Control systems with vector relays ⋮ Dissipative observers for coupled diffusion-convection-reaction systems ⋮ Finite‐time consensus of Euler‐Lagrange agents without velocity measurements via energy shaping ⋮ Tracking control of disturbed crowd dynamic system using unit sliding mode control and feedback linearization ⋮ On the finite-time stabilization of some hyperbolic control systems by boundary feedback laws: Lyapunov approach ⋮ Dynamical Systems Coupled with Monotone Set-Valued Operators: Formalisms, Applications, Well-Posedness, and Stability ⋮ Continuous finite-time regulation of Euler-Lagrange systems via energy shaping ⋮ On the Second Order Sliding Mode Approach to Distributed and Boundary Control of Uncertain Parabolic PDEs ⋮ Exponential input-to-state stabilization of an ODE cascaded with a reaction-diffusion equation subject to disturbances ⋮ Stabilization of systems with switchings on the axis of their coordinates and its input-to-state properties ⋮ Adaptive finite-time reconfiguration control of unmanned aerial vehicles with a moving leader ⋮ Discontinuous Integral Control for Systems with Arbitrary Relative Degree ⋮ Unnamed Item ⋮ Fixed-time stability of ODE and fixed-time stability of neural network ⋮ Finite-time and fixed-time stabilization: implicit Lyapunov function approach ⋮ Piecewise smooth vector fields in \(\mathbb{R}^3\) at infinity ⋮ Boundary control of an axially moving system with high acceleration/deceleration and disturbance observer