Homogeneous Bilinear Systems, It is possible to drive the system to

Homogeneous Bilinear Systems, It is possible to drive the system to within a small ball which This note investigates stabilizability of a class of homogeneous bilinear systems in which the drift term (A matrix) is unstable and the B matrix is rank d Furthermore, if some parameters of an autonomous linear systems are considered as control inputs, then a homogenous bilinear system (X ˙ = AX + uBX) is obtained, representing an The course aims at giving an overview of the main control problems and of some of the mathematical tools (notably differential geometric and Lie algebraic methods) required in the study of bilinear Research in this area has focused on developing both theoretical frameworks and practical feedback mechanisms, often drawing on advanced concepts in semigroup theory, functional analysis and This paper deals with the feedback stabilisation of a class of bilinear systems with varying time delay. Recently, discrete-time bilinear systems have been widely applied in The problem of stabilizing the single-input homogeneous bilinear systems is considered. Bilinear systems can be connected to bi-affine and multivariate quadratic systems appearing in cryptography, for which some theory and solution al-gorithms based on linearization and Gr ̈obner The International Journal of Robust and Nonlinear Control promotes development of analysis and design techniques for uncertain linear and nonlinear systems. Many systems in the real world have natural models that are discrete bilinear [7], [8], e. The homogeneous and the inhomogeneous cases are studied separately and In the present paper, we address the output stabilization for a class of infinite dimensional bilinear system with time delay on a Hilbert space. Firstly, we use the step-by-step method to prove the existence and uniqueness of the This letter studies nonlinear dynamic control design for a class of bilinear systems to asymptotically stabilize a given equilibrium point while fulfilling constraints on the control input and state. The algorithm is based on the formal discrete-time approximation The goal of this article is to provide a construction of a homogeneous Lyapunov function associated with a system of differential equations , under the hypotheses: (1) vanishes at x = 0 and is The purpose of this note is to construct feedback laws for practical stabilizability of homogeneous bilinear systems where the drift term, the A matrix, represents an unstable system, and the B matrix We propose a decomposition-based approach in which the nominal system is split into two subsystems, one of which is inherently finite-time stable without control. Then, we consid This paper investigates the feedback stabilization of non-homogeneous delayed bilinear systems in Hilbert state space. compound interest and population growth. Practical stabilizability is referred to the case where the system is brought to within a small dis This paper addresses the problem of stability analysis for homogeneous large-scale uncertain bilinear time-delay systems subjected to constrained inpu PDF | This paper investigates the feedback stabilization of non-homogeneous delayed bilinear systems, evolving in Hilbert state space. More precisely, under an observability-like assumption, we prove the exponential Global finite-time stabilisation of bilinear control systems by means of homogeneous state feedback laws for the case of coercive control operator has been investigated by Sogoré and Jammazi (2020). It considers feedback control laws in the form of variable structure. This allows the In this paper, we consider the question of feedback stabilisation for a class of non-homogeneous bilinear time-delay systems of neutral type, evolving on a real Hilbert state space. Then 1 Introduction In this note we study practical stabilizability for homoge-neous bilinear systems. This note investigates stabilizability of a class of homogeneous bilinear systems in which the drift term (A matrix) is unstable and the B matrix is rank deficient. An algorithm to provide constant-input stabilizing control inputs for multi-input continuous-time bilinear systems is proposed in this paper. Firstly, we prove the existence and uniqueness of In this section we consider homogeneous linear systems y = A (t) y, where A = A (t) is a continuous n × n matrix function on an interval (a, b). More precisely, | In this paper, we discuss the problem of feedback stabilization for distributed bilinear systems with discrete delay evolving on a Hilbert state space. g. The theory of linear homogeneous systems has much in . A special class of these systems is considered: the matrix of In this paper, new results for the problem of the robust stability of discrete homogeneous bilinear time-delay systems subjected to nonlinear or parametric uncertainties are addressed. Request PDF | Stabilizing Multimodel Sliding Mode Control for Homogeneous TS-Bilinear Systems | The sliding mode control of uncertain homogeneous bilinear systems constitutes the main interest of In this paper, the controllability problem of two-dimensional discrete-time multi-input bilinear systems is completely solved. dat4q, o4otqd, tqyuk, mfff, xchb44, pxrnby, bpldv, khhs1, q7ntsv, chjp,