Results of ISS Type for Hysteretic Lur’e Systems: a Differential Inclusions Approach∗
نویسندگان
چکیده
The paper comprises a study of absolute stability, input-to-state stability, and boundedness properties of a feedback interconnection of a finite-dimensional, linear, m-input, m-output system (A, B, C) and a set-valued nonlinearity Φ. With reference to Figure 1, we assume that D is a set-valued map in which input or disturbance signals are embedded. The analytical framework is of sufficient generality to encom-
منابع مشابه
Stochastic differential inclusions of semimonotone type in Hilbert spaces
In this paper, we study the existence of generalized solutions for the infinite dimensional nonlinear stochastic differential inclusions $dx(t) in F(t,x(t))dt +G(t,x(t))dW_t$ in which the multifunction $F$ is semimonotone and hemicontinuous and the operator-valued multifunction $G$ satisfies a Lipschitz condition. We define the It^{o} stochastic integral of operator set-valued stochastic pr...
متن کاملDesign of observers and certainty equivalence controllers for differential inclusions: a passivity approach
This paper deals with the design of state observers for a class of systems with set-valued right-handsides. Two main classes of set-valued mappings are considered: maximal monotone and time-invariant; or normal cones to possibly time-varying sets (not necessarily convex). Such controlled systems can be embedded in various kinds of differential inclusions with absolutely continuous and bounded v...
متن کاملStrongly absolute stability of Lur ’ e type differential - algebraic systems ✩
In this paper, we consider Lur’e type differential-algebraic systems (LDS) and introduce the concept of strongly absolute stability. Such a notion is a generalization of absolute stability for Lur’e type standard state-space systems (LSS). By a Lur’e type Lyapunov function, we derive an LMI based stability criterion for LDS to be strongly absolutely stable. Using extended strictly positive real...
متن کاملTHE FULL AVERAGING OF FUZZY DIFFERENTIAL INCLUSIONS
In this paper the substantiation of the method of full averaging for fuzzy differential inclusions is considered. These results generalize the results of [17, 20] for differential inclusions with Hukuhara derivative and of [18] for fuzzy differential equations.
متن کاملObserver design for dissipative multivalued dynamical systems
This paper deals with the design of state observers for a class of systems with set-valued right-handsides. Two main classes of set-valued mappings are considered: maximal monotone and time-invariant; or normal cones to possibly time-varying sets (not necessarily convex). Such controlled systems can be embedded in various kinds of differential inclusions with absolutely continuous and bounded v...
متن کامل