On Brockett’s Condition for Smooth Stabilizability and Its Necessity in a Context of Nonsmooth Feedback
From MaRDI portal
Publication:4315364
DOI10.1137/S0363012992235432zbMath0806.93049OpenAlexW2077483340MaRDI QIDQ4315364
Publication date: 8 December 1994
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/s0363012992235432
Feedback control (93B52) Stabilization of systems by feedback (93D15) Degree, winding number (55M25) Stability theory for ordinary differential equations (34D99)
Related Items
Patchy Vector Fields and Asymptotic Stabilization, Clocks and Insensitivity to Small Measurement Errors, Trajectory Tracking for Nonholonomic Vehicles, A discussion on the Hölder and robust finite-time partial stabilizability of Brockett’s integrator, Smooth patchy control Lyapunov functions, Dichotomy property and Lagrange stability for uncertain pendulum-like feedback systems, Geometry of information structures, strategic measures and associated stochastic control topologies, Discontinuous feedback in nonlinear control: stabilization under persistent disturbances, Time-optimal velocity tracking control for differential drive robots, On the existence of stabilising feedback controls for real analytic small-time locally controllable systems, Forward Euler solutions and weakly invariant time-delayed systems, Small-gain stability theorems for positive Lur'e inclusions, On the problem of tracking for the nonholonomic systems with provision for the feedback delay, Problems of control and stabilization of impulsive-control dynamic systems with application to nonholonomic mechanics, On the topological structure of attraction basins for differential inclusions, Continuous feedback control in evasion problems with nonconvex target set, On singular perturbations due to fast actuators in hybrid control systems, Conley index condition for asymptotic stability, A general framework to design stabilizing nonlinear model predictive controllers, Local robust regulation of chained systems, Stabilization and tracking control for an extended Heisenberg system with a drift, Lyapunov and feedback characterizations of state constrained controllability and stabilization, Stabilizability in optimization problems with unbounded data, Stabilization of positive linear systems, Nonsmooth analysis in control theory: a survey, Control design for autonomous vehicles: a dynamic optimization perspective, Exponential Stabilization of Nonholonomic Systems by Means of Oscillating Controls, Finite-time tracking control of chained-form nonholonomic systems with external disturbances based on recursive terminal sliding mode method, Speed-Gradient Control of the Brockett Integrator, Asymptotic stability and smooth Lyapunov functions, Robust finite-time stabilisation of an arbitrary-order nonholonomic system in chained form, Converse Lyapunov theorems for control systems with unbounded controls, Necessary conditions for feedback stabilization and safety, On design of continuous Lyapunov's feedback control, Brockett's stabilization condition under state constraints., Continuous feedback stabilization of nonlinear control systems by composition operators, Some remarks on stabilization by means of discontinuous feedbacks, Global stabilization of spherical orientation by synergistic hybrid feedback with application to reduced-attitude tracking for rigid bodies, Robust supervisory control for uniting two output-feedback hybrid controllers with different objectives
