Horacio Leyva

Global CLF Stabilization of Systems with Control Inputs Constrained to a Hyperbox

Our main purpose in this paper is to address the problem of synthesis of regular feedback controls for the global asymptotic stabilization (gas) of nonlinear systems with controls taking values in the

On the Global CLF Stabilization of Systems with Polytopic Control Value Sets

m

Global CLF stabilization of systems with polytopic CVS containing 0 in their boundaries, and positive controls

-dimensional

Global CLF stabilization of systems with respect to a hyperbox, allowing the null-control input in its boundary (positive controls)

\mathbf{r}

ON CONTROLLABILITY OF LINEAR SYSTEMS WITH POSITIVE CONTROL

-weighted hyperbox

Global product structure for a space of special matrices

\mathcal{B}_{\mathbf{r}}^{m}(\infty):=[-r_{1}^{-},r_{1}^{+}]\times\cdots\times[-r_{m}^{-},r_{m}^{+}]

Even Degree Polynomials with Roots on the Unit Circle and Segments of Schur Polynomials

. Working along the line of Artstein and Sontags control Lyapunov function (clf) approach, we study the conditions for the gas of affine systems provided an appropriate clf is known, and propose an explicit formula for a one-parameterized family of bounded regular feedback global stabilizers. The case of scalar bounded positive feedback controls (

Conditions for the Schur stability of segments of polynomials of the same degree

r^{-}=0

Robust stabilization of positive linear systems via sliding positive control

) is also included. Finally, the problem of designing a marginally robust control function is addressed.

Stationary Bifurcations Control with Applications

Abstract Our main purpose in this paper is to address the problem of the global asymptotic stabilization of affine systems with control value sets given by polytopes U with 0 ∈ int U . An important polytope is the m -dimensional hyperbox U =[-r − 1 , r + 1 ]×…×[-r − m , r + m ], with -r ± m > 0. Working along the line of Artstein-Sontags control Lyapunov function (CLF) approach, we study the conditions that a feedback control of the form u ( x ) = ( u 1 ,…, u m ), with uj(x) = ϕj(x)w j (x), should satisfy in order to be admissible (continuous and taking its values in a polytope U ) and globally asymptotically stabilize a system, provided an appropriate CLF is known.