Lie brackets and real analyticity in control theory
Linear dynamical systems: an axiomatic approach.
Linear nonstationary system with discrete-time input
Linear time-optimal control problem with incomplete information about state. Optimization of guaranteed result
Linearization techniques for -control problems and dynamic programming principles in classical and -control problems
The aim of the paper is to provide a linearization approach to the -control problems. We begin by proving a semigroup-type behaviour of the set of constraints appearing in the linearized formulation of (standard) control problems. As a byproduct we obtain a linear formulation of the dynamic programming principle. Then, we use the approach and the associated linear formulations. This seems to be the most appropriate tool for treating problems in continuous and lower semicontinuous setting.
Linearization techniques for See PDF-control problems and dynamic programming principles in classical and See PDF-control problems
The aim of the paper is to provide a linearization approach to the See PDF-control problems. We begin by proving a semigroup-type behaviour of the set of constraints appearing in the linearized formulation of (standard) control problems. As a byproduct we obtain a linear formulation of the dynamic programming principle. Then, we use the See PDF approach and the associated linear formulations. This seems to be the most appropriate tool for treating See PDF problems in continuous and lower semicontinuous...
Local Controllability around Closed Orbits
We give a necessary and sufficient condition for local controllability around closed orbits for general smooth control systems. We also prove that any such system on a compact manifold has a closed orbit.
LQ-optimal control with stabilization constraints
Matrix measures in the qualitative analysis of parametric uncertain systems.
Minimum energy control of positive continuous-time linear systems with bounded inputs
The minimum energy control problem for positive continuous-time linear systems with bounded inputs is formulated and solved. Sufficient conditions for the existence of a solution to the problem are established. A procedure for solving the problem is proposed and illustrated with a numerical example.
Model following control system with time delays
Design of model following control system (MFCS) for nonlinear system with time delays and disturbances is discussed. In this paper, the method of MFCS will be extended to nonlinear system with time delays. We set the nonlinear part of the controlled object as , and show the bounded of internal states by separating the nonlinear part into . Some preliminary numerical simulations are provided to demonstrate the effectiveness of the proposed method.
Motion planning and feedback control for a unicycle in a way point following task: The VFO approach
This paper is devoted to the way point following motion task of a unicycle where the motion planning and the closed-loop motion realization stage are considered. The way point following task is determined by the user-defined sequence of waypoints which have to be passed by the unicycle with the assumed finite precision. This sequence will take the vehicle from the initial state to the target state in finite time. The motion planning strategy proposed in the paper does not involve any interpolation...
Multi regional state space systems -- controller design and stability
Multiobservers and their application to output stabilization
Necessary and sufficient Lyapunov-like conditions for robust nonlinear stabilization
In this work, we propose a methodology for the expression of necessary and sufficient Lyapunov-like conditions for the existence of stabilizing feedback laws. The methodology is an extension of the well-known Control Lyapunov Function (CLF) method and can be applied to very general nonlinear time-varying systems with disturbance and control inputs, including both finite and infinite-dimensional systems. The generality of the proposed methodology is also reflected upon by the fact that partial...
Necessary Optimality Conditions for a Lotka-Volterra Three Species System
An optimal control problem is studied for a Lotka-Volterra system of three differential equations. It models an ecosystem of three species which coexist. The species are supposed to be separated from each others. Mathematically, this is modeled with the aid of two control variables. Some necessary conditions of optimality are found in order to maximize the total number of individuals at the end of a given time interval.
New estimates for the solution of the Lyapunov matrix differential equation.
New links and reductions between the Brockett nonholonomic integrator and related systems.
Nonlinear approximation in control problems
Nonlinear control of chaotic systems: a switching manifold approach.