An algorithm for finding a control of linear switched system by means Geometric Algebra is designed. More precisely, we develop switching path searching two-dimensional dynamical with non-singular matrix whose integral curves are formed two sets centralized ellipses. It natural to represent them as elements Conics and construct the calculating points, i.e., intersections contact points. For thi...

Optimal control problems for switched nonlinear systems are investigated. We propose an alternative approach for solving the optimal control problem for a nonlinear switched system based on the theory of moments. The essence of this method is the transformation of a nonlinear, nonconvex optimal control problem, that is, the switched system, into an equivalent optimal control problem with linear...

In this paper, the robust H1 filtering of uncertain discrete switched systems with interval delay and linear fractional perturbations is considered. The minimization of H1 norm for filtering error system by stable switched filter is investigated. The exponential convergence rate of switched filtering error system without disturbance is positive and less than 1. Some nonnegative inequalities and...

This paper investigates robust finite-time H∞ control for a class of impulsive switched nonlinear systems with time-delay. Firstly, using piecewise Lyapunov function, sufficient conditions ensuring finite-time boundedness of the impulsive switched system are derived. Then, finite-time H∞ performance analysis for impulsive switched systems is developed, and a robust finite-time H∞ state feedback...

In this article, a proportional predictive (PP) control strategy is proposed and high-precision position tracking controller designed for the networked linear switched reluctance machine system (NLSRMS) with time-varying delay. The closed-loop model of NLSRMS constructed based on PP strategy. stability conditions are by combining optimal value calculated cost function. using continuously update...

Motivated by a class of contact vibration control problems in mechanical systems, this paper considers a regulation problem for discrete-time switched bimodal linear systems where it is desired to achieve output regulation against partially known deterministic and unknown random exogenous signals. First, a set of observer-based Youla parameterized stabilizing controllers is constructed, based o...

This paper studies the exponential stabilization problem for discrete-time switched linear systems based on a control-Lyapunov function approach. A number of versions of converse control-Lyapunov function theorems are proved and their connections to the switched LQR problem are derived. It is shown that the system is exponentially stabilizable if and only if there exists a finite integer N such...

This paper studies the exponential stabilization problem for discrete-time switched linear systems based on a control-Lyapunov function approach. A number of versions of converse control-Lyapunov function theorems are proved and their connections to the switched LQR problem are derived. It is shown that the system is exponentially stabilizable if and only if there exists a finite integer N such...

This paper investigates the mean stability of a class of discrete-time stochastic switched linear systems using the Lp-norm joint spectral radius of the probability distributions governing the switched systems. First we prove a converse Lyapunov theorem that shows the equivalence between the mean stability and the existence of a homogeneous Lyapunov function. Then we show that, when p goes to ∞...

This paper focuses on the problem of a common linear copositive Lyapunov function(CLCLF) existence for discrete-time switched positive linear systems(SPLSs) with bounded time-varying delays. In particular, applying system matrices, a special class of matrices are constructed in an appropriate manner. Our results reveal that the existence of a common copositive Lyapunov function can be related t...