This paper deals with stability and state feedback control of discrete-time Multi-Mode Multi-Dimensional (M3D) linear systems. The M3D switch dynamics are modeled through a mapping describing the mode transitions. model framework then allows to consider poly-quadratic Lyapunov functions obtain Linear Matrix Inequalities conditions for proof synthesis state-feedback controllers under H∞ p...

In this chapter, we generalize and extend the continuous-time inverse optimal control methods results of Chap. 4 to noncooperative differential games. As in case (discrete-time) dynamic games considered 5, examine problems involving computation parameters player cost functionals given whole or truncated state trajectories that are constitute open-loop feedback Nash equilibria. We present for so...

This paper considers the distributed robust control problems of uncertain linear multi-agent systems with undirected communication topologies. It is assumed that the agents have identical nominal dynamics while subject to different norm-bounded parameter uncertainties, leading to weakly heterogeneous multi-agent systems. Distributed controllers are designed for both continuousand discrete-time ...

Due to the financial sector complicated variety of events, each financial problems from changes to know its essence, the change rule, from the change of strategy to formulate relevant policy and policy into effect, etc., the process inevitably has a certain lag. Therefore, in order to better reflect the actual situation, we study the portfolio model with delays in this paper. By joining our del...

We consider a discretization and the corresponding error analysis for a linear quadratic parabolic optimal control problem with box constraints on the timedependent control variable. For such problems one can show that a time-discrete solution with second order convergence can be obtained by a first order discontinuous Galerkin time discretization for the state variable and either the variation...

In this paper, we extend the concept of control barrier functions, developed initially for continuous time systems, to the discrete-time domain. We demonstrate safety-critical control for nonlinear discrete-time systems with applications to 3D bipedal robot navigation. Particularly, we mathematically analyze two different formulations of control barrier functions, based on their continuous-time...

An extended formulation to the risk-sensitive control of discrete-time linear stochastic systems is presented in the paper. The problem considered is formulated as a convex optimization problem where the design procedure relies on a unified algebraic approach. A possible singular task of risk-sensitive minimum variance control is regularized by defining a quadratic constraint on input variables...

Discrete time control systems are widely used in time and frequency applications. Control systems can be designed to reduce phase and frequency offsets to a given reference either more or less aggressively depending on overall system needs. There are many methods available to aid in designing control systems, including techniques based on state space system models. Several state space control d...

Multiparametric quadratic and linear programming theory has been applied with success for implementing deterministic MPC controllers. In this note, we have proposed to apply the approximate multipara-metric convex programming solver of [18] to the robust MPC control scheme proposed in [7]. An explicit description of the control law is obtained for ease of implementation of robust MPC. The contr...