This paper considers the problem of stabilization of single-input planar switched systems.
We assume the switching law is observable, a formula is presented, which provides a …

There are many practical control problems where the control action is determined by
switching among a given set of control laws. This paper presents necessary and sufficient …

Counterexamples are given which show that a linear switched system (with controlled
switching) that can be stabilized by means of a suitable switching law does not necessarily …

We study the stability of the origin for the dynamical system ̇x(t)=u(t)Ax(t)+(1-u(t))Bx(t),
where A and B are two 2× 2 real matrices with eigenvalues having strictly negative real part …

This paper treats the following synthesis problem: given a switched linear system, how
should the linear vector fields be selected among the possible ones such that the switched …

This article is concerned with the stability problem for the planar linear switched system,
where the real matrices A 1, A 2∈ ℝ2× 2 are Hurwitz and u (·):[0,∞[→{0, 1} is a measurable …

This paper studies and solves the problem of asymptotic stabilization of switched systems
consisting of unstable secondorder linear time-invariant (LTI) subsystems. Necessary and …

This paper addresses the problem of stability analysis and control synthesis of switched
systems in the discrete-time domain. The approach followed in this paper looks at the …

This note identifies two types of stabilizability for switched systems: the pointwise
stabilizability and the consistent stabilizability. Necessary conditions and sufficient …

This work deals with the problem of quadratic stabilization of switched affine systems, where
the state of the switched system has to be driven to a point (" switched equilibrium") which is …